An optical inspection system is used to distinguish among different part types. The probability of a correct classification of any part is 0.93. Suppose that three parts are inspected and that the classifications are independent. Let the random variable X denote the number of parts that are correctly classified. Determine the probability mass function of X.
Probability Mass Function of X
x f(x)
0
1
2
3

Answers

Answer 1

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Let P(X = x) mark x model number classified correctly.

The mass function of the probability:

[tex]\to f(0) = P(X=0) = (0.03)^3 = 0.0000\\\\\to f(1) = P(X=1) = (3 C_1)\times (0.97)\times (0.03)^2 = 0.0026\\\\\to f(2) = P(X=2) = (3 C_2)\times (0.97)^2 \times (0.03) = 0.0847\\\\\to f(3) = P(X=3) = (0.97)^3 = 0.9127\\\\[/tex]

[tex]x \ \ \ \ f(x) \\\\0\ \ \ \ 0.0000\\\\1\ \ \ \ 0.0026\\\\2\ \ \ \ 0.0847\\\\3\ \ \ \ 0.9127[/tex]


Related Questions

I WILL GIVE BRAINLIEST PLS HELP!!!!

The hypotenuse of ANY right triangle is [tex]\sqrt{2}[/tex] times the leg.

TRUE OR FALSE AND ALSO EXPLAIN

Answers

true the hypotenuse is 6 squared

A paper company produces 2,985 notebooks in 3 days. How many notebooks can it produce in 11 days?

Answers

Answer:

10080

Step-by-step explanation:

2985÷3=995×11=10080

Answer:

It can produce 32,835 in 11 days.

Step-by-step explanation:

2,985 x 3 =  8,955

2,985 x 3 = 8,955

2,985 x 3 = 8,955

If you add another three, that'll  be 12, so, we'll multiply 2,985 x 2.

2, 985 x 2 = 5,970

Now, Add all of those 4 numbers together,

8,955 + 8,955 + 8,955 + 5,970 = 32,835

Help me pls pls pls

Answers

Expo. Pls I don’t understand the picture
It will take exactly 18 minutes

start time:11:33
End time:?

Elapsed time:4 hrs 55 mins

Answers

Answer:

4:28

Step-by-step explanation:

11:33+ 4hrs and 55 min

12:28+4hrs

4:28

Simplify (4j - 3.1c +5) + ( -7 - 4j - 0.9c)

Answers

the answer is = -4c -2

Jane cloaked in to world on Tuesday at 7:30 am and went to her lunch at 11:30 am. She returned from her lunch break at 12:30 pm and clocked out of work for the day at 4:00pm. How many hours did she work on Tuesday?

Answers

Answer:

7 hours 30 minutes

Step-by-step explanation:

Jane clocks into work at 7:30 and goes to lunch at 11:30. (4 hours)

4 hours so far.

takes 1 hour break and returns for 12:30.

She finishes at 4. Time from 12:30 to 4 is (3h30)

3h30 + 4 = 7h30m

Check yourself ^

36 : 52 = __:__
a) 18:26
b) 2:3
d) 2:2
d 9:13

Answers

The answer to the following question is letter D

2. "The quotient of a number and 4"

Answers

Answer:

Step-by-step explanation:

let n= number, the quotient of a number and 4 is

n/4

Listed are 32 ages for Academy Award winning best actors in order from smallest to largest. (Round your answers to the nearest whole number.) 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77 (a) Find the percentile of 37. th percentile

Answers

Answer:

34.5

Step-by-step explanation:

Given the data:

X : 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77.

The 37th Percentile :

37/100(n + 1)th term

n = sample size = 32

Therefore,

0.37(32 + 1)th term

0.37(33)th term = 12.21 th term

(12th + 13th) term ÷ 2

(33 + 36) / 2

69 / 2

34.5

The 37th percentile is 34.5

NEED HELP ASAP!!!Of all the students who tried out for volleyball, 83% made the team what fraction of the students who tried out did NOT make the team?

Answers
4/5
1/5
3/4
1/3

Answers

Answer:I think it’s 1/5 but if u have another attemp and it’s wrong somehow do 1/3

Step-by-step explanation:

Answer:

3/4 or 1/3

Step-by-step explanation:

Please help for brainliest.

Answers

Answer:

its C

Step-by-step explanation:

PLZ HURRY IT'S URGENT!!!
What are the roots of the quadratic graphed?
-4 and 3
-3 and 4
0 and -6
0 and 6

Answers

the answer is -4 and 3

hope that helped

Giving brainliest for the right answer so pls help me!

Answers

Answer:

Radius: 3.5

Diameter: 7

i might be wrong tho im sorry !!

The answer:

Radius = 3.5cm

Diameter = 7cm

I hope I've helped <3

Help now plsssssssssssssssssssssss

Answers

Answer:

Your answer is 5009.2

Upvote it. Welcome

Answer:

5009,206

Step-by-step explanation:

Hope this helped!

I need Help please with this question. Giving brainliest

Answers

Answer:

Step-by-step explanation:

20

this is so the other person gets his/her/their well earned brainliest :)

Write the equation of each circle
Center (-1,0) and containing the point (2, -4)

A.(x + 1)2 + y2 = 25
B.x2 + (y2 +1)= 25

Answers

Answer:

The equation of the circle is [tex](x + 1)^2 + y^2 = 25[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle of centre [tex](x_c,y_c)[/tex] has the following format:

[tex](x - x_c)^2 + (y - y_c)^2 = r^2[/tex]

In which r is the radius.

Center (-1,0)

This means that [tex]x_c = -1, y_c = 0[/tex]. So

[tex](x - x_c)^2 + (y - y_c)^2 = r^2[/tex]

[tex](x - (-1))^2 + (y - 0)^2 = r^2[/tex]

[tex](x + 1)^2 + y^2 = r^2[/tex]

Finding the radius:

Distance between the radius and the centre and a point of the circle. In this case, point (2,-4). Using the formula for the distance between two points:

[tex]r = \sqrt{(2-(-1))^2+(-4-0)^2} = \sqrt{3^2 + 4^2} = \sqrt{25} = 5[/tex]

So, the equation of the circle is:

[tex](x + 1)^2 + y^2 = 5^2[/tex]

[tex](x + 1)^2 + y^2 = 25[/tex]

A, B, C and D form the vertices of a parallelogram
AD = 10.3cm, AB = 15.5cm and BAD = 63°
Find the area of the parallelogram. Round to 1 DP

The diagram is not drawn accurately.​

Answers

AB=8.7 cm. Work out the length of BC. ... 1. Adi. Diagram NOT accurately drawn. POR is a triangle. Angle Q = 90° ... Give your answer correct to 1 decimal place. ton o. Ady ... Ad. POR is a right-angled triangle. PR = 12 cm. OR = 4.5 cm. Angle PRO = 90°. ... AB= 7 cm. BC = 12 cm. Angle BAD= 65°. Calculate the length of AC.

Suppose that a loan of $8000 is given at an interest rate of 13% compounded each year.
Assume that no payments are made on the loan.
Follow the instructions below. Do not do any rounding.
(a) Find the amount owed at the end of 1 year.
si
(b) Find the amount owed at the end of 2 years.

Answers

Answer:

9040

10215.20

Step-by-step explanation:

compound interest that compounds yearly works as follows

PV(1+i)^n

just plug in the numbers

8000(1.13)^1= 9040

8000(1.13)^2=10215.20

A research group is interested in gauging perceptions about health club memberships among health club members. Specifically, they wish to determine the percentage of monthly paying members in the United States that believe health club memberships are not too expensive. They listed the members of the health club located nearby in alphabetical order and took every tenth member until they succeeded in contacting 150 members. What kind of sampling method have they used? Choose the correct answer below.
A. Cluster sampling
B. Multistage sampling
C. Stratified random sampling
D. Systematic sampling

Answers

Answer:

D. Systematic sampling

Step-by-step explanation:

Systematic sampling is a type of probability sampling method in which sample members of a large population are selected according to a random starting position and a constant, periodic interval. This interval, called the sample interval, is calculated by dividing the population size by the desired sample size.so correct option is D. Systematic sampling .

On an island, the deer population has been decreasing by 4% per year (). The current population is 792 deer.

Assume that the deer population continues to decrease by 4% per year. Which of the following logarithmic equations best models the number of years it will take for the deer population to decrease from 792 deer to 674 deer?

Answers

Answer:

X = log(0.96)(0.85)

Step-by-step explanation:

Given that on an island, the deer population has been decreasing by 4% per year and the current population is 792 deer, assuming that the deer population continues to decrease by 4% per year, to determine the number of years it will take for the deer population to decrease from 792 deer to 674 deer the following calculation must be performed:

792 x 0.96 ^ X = 674

X = 3.95

So, rounded to whole numbers, it will take 4 years for the deer population to drop to 674.

Press F9 on your keyboard five more times and see how long Carol lives in each of her alternate lives. Remember that she will always live to be at
least 44 years old, since she is already 44 years old. How long did Carol live each time?

Answers

Answer:

59 or infant

Step-by-step explanation:

she will either live to be 59 each time or she will live to be a undying God like being

59 years Total she will live

if a function f is defined such that f(x+3) = f (x) + f(3) show that f(-3) = -f(3)

Answers

Answer:

[tex]Solution,\\f(x+3)=f(x)+f(3).......(1)\\Put~x=0~in~eq^n~(1),\\f(0+3)=f(0)+f(3)\\or, f(3)=f(0)+f(3)\\or, f(0)=0.........(2)\\Now,\\Put~x=-3~in~eq^n(1),\\f(-3+3)=f(-3)+f(3)\\or, f(0)=f(-3)+f(3)\\From~eq^n(2),\\0 = f(-3)+f(3)\\or, f(-3)=-f(3)~proved[/tex]

I will give brainliest to whoever answers RIGHT.

Answers

Answer:

it's 3.4

Step-by-step explanation:

hope this helps have a nice day

Assume you are planning a picnic for lunch, but when you woke up there were rain clouds in the sky. If 50% of rainy days start with rain clouds in the air, 20% of all days start with clouds in the air, and rain only typically occurs on 1 out of every 10 days, what is the probability that it will rain today and ruin your picnic

Answers

Answer:

0.25 = 25% probability that it will rain today and ruin your picnic

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Cloudy skies

Event B: Rain

20% of all days start with clouds in the air

This means that [tex]P(A) = 0.2[/tex]

50% of rainy days start with rain clouds in the air

50% of 10%. So

[tex]P(A \cap B) = 0.5*0.1 = 0.05[/tex]

What is the probability that it will rain today and ruin your picnic

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.2} = 0.25[/tex]

0.25 = 25% probability that it will rain today and ruin your picnic

Factor as the product of two binomials.
x^2 - 3x +2=

Answers

Answer:

(x−1)(x−2)

Step-by-step explanation:

Suppose you buy 2 marbles for $0.16 each. You pay for it with 4 quarters. How much change should you get back? Enter your answer.

Answers

Answer: You should get 0.68 back

Step-by-step explanation: I just did a test and got 100%

Answer:

3 $0.16 = $0.48

or

4 $0.25 = $1.00 hope this helps

Step-by-step explanation:

Choose Yes or No to tell if the number 30 will make each equation true.

270 ÷ □ = 9

Choose...



1,200 ÷ □ = 400

Choose...



9,000 ÷ □ = 300

Choose...



600 ÷ □ = 20

Choose...

(will mark brainiest and 5 points pls answer its for a test due in 20 min).

Answers

Answer:

1. Yes

2. No

3. yes

4. yes

270 ➗ 30 = 9 } True

1,200 ➗ 30 = 40 } False

9,000 ➗ 30 = 300 } False

600 ➗ 30 = 20 } False

Hope This Helps✨

habitantes de dos pequenas comunidades harán una obra de drenaje que
beneficia a todos. El costo de los materiales necesarios asciende a 360,000.00
Se decidió que las aportaciones sean proporcionales al numero de habitantes de
da comunidad. En la comunidad A hay 120 habitantes; en la comunidad B 240
y en la comunidad C 360

¿Con cuánto debe cooperar cada comunidad?

¿Cuál es la aportación por persona en las tres comunidades?​

Answers

Answer:

La Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000. Cada Comunidad aportará $500 por persona.

Step-by-step explanation:

Dado que la obra de drenaje tiene un costo de materiales de $360,000, y que dicho costo será soportado por cada comunidad en proporción a sus habitantes, sabiendo que en la comunidad A hay 120 habitantes; en la comunidad B 240 y en la comunidad C 360, para determinar con cuánto dinero debe cooperar cada una se debe realizar el siguiente cálculo:

120 + 240 + 360 = 720

C = 1/2 x 360,000 = 180,000

B = 1/3 x 360,000 = 120,000

A = 1/6 x 360,000 = 60,000

Así, la Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000.

A su vez, la aportación por persona en las tres comunidades surge del siguiente cálculo:

360,000 / 720 = 500

Así, cada comunidad aportará $500 por persona.

Which pair isn’t congruent help me out ✏️

Answers

it’s H because you have to see it good

The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initial population P0 has doubled in 3 years, how long will it take to triple? (Round your answer to one decimal place.)

Answers

Answer:

4.75 years are required to triple the population

Step-by-step explanation:

As we know

[tex]\frac{dP}{dt} = P\\[/tex]

Integrating both the side with respect to t we get

[tex]ln P = kt + c_1\\P = e^{kt + c_1}\\P = Ce^{kt}[/tex]

At t = 0, P = P0

[tex]2 P_0 = P_0 * e ^{3k}\\2 = e ^{3k}\\ln 2 = 3k\\k = 0.231\\[/tex]

substituting K value in main equation, we get -

[tex]P = P_0 * e^{0.231 * t}\\3P_0 = P_0 * e^{0.231 * t}\\3 = e^{0.231 * t}\\ln 3 = 0.231 * t\\t = 4.75[/tex]

4.75 years are required to triple the population

Other Questions
HELP HELP HELP HELP HELP 568n + 230Which best describes the constant in the expression? The exchange of oxygen and carbon dioxide in the blood occurs in theO a. capillaries.O b. arteries.O c. veins.O d. lungs. A baseball and a bat cost 110 dollars. If the bat costs 100 more dollars than the ball, is much does the ball cost The ratio of green apples to red apples in a bucket is 5 to 9. For every 10 green apples there are __ red apples.plz help Pls, help! I can paste the link and the image https://web.kamihq.com/web/viewer.html?state=%7B%22ids%22%3A%5B%221iI3pNZYitFBZtDpnJyxOACuig_TP6Ter%22%5D%2C%22action%22%3A%22open%22%2C%22userId%22%3A%22106211068388494764911%22%2C%22resourceKeys%22%3A%7B%7D%7D&kami_user_id=13185505 Pls help I will give thx and give points Intermolecular forces exist between what? Which digit(s) make the solution of the equations the whole number? 5x-496=1.34... Help ....plssssssssssssssssss Pls help me I will give brainliest Romeo and Juliet - How would you describe the character, Romeo? Please provide 3 points outlining his character. Each point should have its own paragraph. This is due very soon and I need it ASAP. Thank you. Carlos bought a new computer printer for $110.50 and some ink cartridgesfor $8.25 each. He spent a total of $176.50.The equation $176.50 = $110.50 + $8.25c can be used to solve thisproblem. Which two mathematical operations do you need to perform inorder to solve the equation for c?A. addition and multiplicationB. division and multiplicationC. subtraction and divisionD. multiplication and subtraction I need help friends! Pls, help me I will review it once you answered :) Fill in the blanks with the present tense of the indicated verbs HELP IM BEING TIMED ANSWER FAST PLEASE On a particularly rainy day the amount of rainfall measured in a rain gauge increased at arate of 1.5 inches each hour for 4 hours. What is the total change in the amount of rain thathas fallen after 4 hours? How do natural resource impact international relationships? Pls help due in 30 mins!! It is math. Can everybody rate my essay? Everybody has been love-struck at some point in life. In The Song of Wandering Aengus, William Butler Yeats experienced love at second sight. When he sees her, she is a fish. Then, she turns into a beautiful girl. The poem dwells on magic of love, and how attracted people get when they meet the glimmering someone. The poems theme is unreturned love. From the first two lines of the poem, the speaker doesnt feel well. I went out to the hazel wood,/Because a fire was in my head. The imagery of fire shapes the mood of love he wants in his life. Of course his head is not literally on fire, fire represents his desire that takes him into the hazel wood. Aengus shapes a wand, or a stick for fishing. He uses a berry as the bait to catch fish. The moth-like stars were flickering out, so you know that the time of the day is dawn. When Aengus dropped a berry in the stream, he caught a small silver fish.In the second stanza, Aengus describes laying the fish on the floor, and starting the fire. He was starting to cook something and something rustles on the floor and someone calls his name. When he turns around and expects to see the trout he sees a glimmering girl, who had apple blossom hair and she called him by his name again and then ran faded through the brightening air.The third stanza jumps forward until Aengus is an old man, and spends his whole life looking for the glimmering girl. In the second line of the third stanza, Aengus looks Through hollow lands and hilly lands he imagines he will find her and kiss and take her hand. He also puts that he and she will walk among grass together, and they will pluck the silver apples of the moon and the golden apples of the sun until the end of time. In the end, W B Yeats, poem is about the fire of love and passion. In the first two stanza Yeats is not feeling well and he meets a girl of his life. The poem starts he going to do clear his head and goes to fish, and then the the trout turn into his love and she calls his name and fades through the brightening air. The poem tells readers that if someone love someone they would do whatever it takes to find their love for them.