Probability distribution

Probability Distribution

Answers

Answer 1

Answer:

a) The value of q is 0.2.

b) E(X) = 1.85.

Step-by-step explanation:

Question a:

The sum of all the probabilities must be 1. So

[tex]0.3 + x + 0.1 + 0.15 + 0.25 = 1[/tex]

[tex]x + 0.8 = 1[/tex]

[tex]x = 0.2[/tex]

The value of q is 0.2.

Question b:

Multiplication of each value of x by its probability. So

[tex]E(X) = 0*0.3 + 1*0.2 + 2*0.1 + 3*0.15 + 4*0.25 = 1.85[/tex]

So the answer is E(X) = 1.85.


Related Questions

Find the number of sides of a regular polygon if the sum of the interior angles of the
polygon is 7020

Answers

Answer:

n = 6

Step-by-step explanation:

Given the following data;

Sum of interior angles, S = 720°

Mathematically, the sum of the interior angles in a regular polygon is given by the formula;

S = 180(n - 2)

Where;

n is the number of sides.

S is the sim of the interior angles

720 = 180(n - 2)

720 = 180n - 360

180n = 720 + 360

180n = 1080

n = 6

Mr. Matthews gives each of his 32 students 15 minutes to
present a book report to the class. How many minutes
will it take for all of his students to present their reports?

Answers

Answer:

480 minutes or 8 hours

Step-by-step explanation:

1 student = 15 minutes

32 students = x

x= 32 students *15 minutes

x=  480 minutes

480 minutes it takes for all of his students to present their reports.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total Students= 32

Each student can take = 15 minutes.

So, time taken by 32 students

= 32 x 15

= 480 minutes.

Hence, students take 480 minutes to complete the report.

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Which angles are pairs of corresponding angles? Check all that apply.
1/2
4 3
516
87
9 110
12111
13/14
16/15
1 and
3

Answers

Answer: The pair of corresponding angles are ∠2 and ∠14 , ∠3 and ∠7 . Option (B) and (D) is correct . When two lines are parallel to each other and cross by another line i.e is called the Transversal , the angles lies in the matching corners are called corresponding angles.

hope it helps!!

From the options given, the angles that are pairs of corresponding angles given in the image are:

∠2 and ∠14 ∠3 and ∠7

What are Corresponding Angles?

Corresponding angles will always lie on the same transversal and occupy the same relative position on the two different parallel lines that are intersected by the transversal.

Therefore, from the options given, the angles that are pairs of corresponding angles given in the image are:

∠2 and ∠14 ∠3 and ∠7

Learn more about corresponding angles on:

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What number is halfway between 0.36 and 0.48 on a number line?

Answers

Answer:

0.42

Step-by-step explanation:

they are both multiples of 0.06

think of it like 6 x 6= 36 and 6 x 8 = 48

6 x 7 = 42 would be halfway

Answer:

0.42

Step-by-step explanation:

To find the half, add da numbers and divide by 2. So 0.36 and 0.48 added together is 0.84. That divided by 2 is 0.42.

Find all values of the variable x for which the rational expression is undefined.
8x+9/x^2-13x+42
The expression is undefined when x=

Answers

Answer:

Step-by-step explanation:

8x+9/x^2-13x+42

Write  8 x  as a fraction with denominator 1

8x+9/x^2-13x+42

then we multipuly 8x/1  by x^2/x^2

H
45
G
8
F
3
Ε
Find
cos FHE.

Answers

Answer:

no sé pero lo nesesito porfavor

Answer:

Its B. 4/5

Step-by-step explanation:

on edge 2020 :)

Select the FALSE statement regarding the relationship between sampling error and sample size. a.) As a sample size decreases, the standard deviation increases. b.) An estimate becomes more accurate as you increase the sample size. c.) You can resolve poor data collection by increasing the sample size. d.) Increasing the sample size will decrease the sampling error.

Answers

Answer:

Option C

Step-by-step explanation:

The standard deviation of any sample is inversely proportional to the size of the sample. Thus, as the sample size increases, the standard deviation reduces or vice versa. Thus, option A is in correct

As the sample size increases, the confidence in estimate also increases Hence, option B is also incorrect

Option D is true to its words , hence it is also a wrong choice for this question

Hence, option C is correct

Answer:

You can resolve poor data collection by increasing the sample size

Step-by-step explanation:

Multiply.
(-3+2i)(-4+4i)
Write your answer as a complex number in standard form.

Answers

Answer:

4 - 20 i

Step-by-step explanation:

you do stuff and you get 4 - 20 i

The 8 red markers in a package account for 4% of all markers in the package. How many markers are in the package?

Answers

Answer:

192 markers

Step-by-step explanation:

if 8 = 4% then 2=1%

so we can assume there are 200markers in the package.

8-200= 192 markers

Find the midpoint of the line segment with endpoints (3,-5) and (7.9).​

Answers

Answer:

x midpoint 5

y midpoint 2

(5,2)

What is 103% of 127?

Answers

Answer:

130.81

Step-by-step explanation:

127 ⋅ ( 103/ 100 ) =130.81

-5 3/4 - 3 1/2 =?

A)2 1/4
B)-9 1/4
C)-2 1/4
D)-8 2/3

Answers

Answer:

-9 1/4

Step-by-step explanation:

-5 3/4 - 3 1/2

Get a common denominator

-5 3/4  - 3 1/2 *2/2

-5 3/4  - 3 2/4

-8  5/4

Rewritng

-8 4/4 - 1/4

-9 1/4

Find the measure of each numbered angle or are.

Answers

Answer:

<2 = 133degrees

<1 = 135degrees

Step-by-step explanation:

From the diagram, the angle <2 and 47 are supplementary, hence;

<2 + 47 = 180

<2 = 180 - 47

<2 = 133degrees

To get <1;

47 = 1/2(<1 - 41)

47 * 2 = (<1 - 41)

94 = <1 - 41

<1 = 94 + 41

<1 = 135degrees

need ko na po this now

please answer this question

thank you po​

Answers

Answer:

B.

Step-by-step explanation:

Find the value that makes the proportion true

5/6= ?/180

Answers

Answer:

D, or 150

Step-by-step explanation:

We can see that we have to multiply 6 by 30 to get 180. So, if we multiply the denominator by this and we want an equal fraction, we can multiply 5 by 30 to get [tex]5\cdot30=150[/tex].

Answer/Step-by-step explanation:

I think its "D. 150"!

-Hope this helped, Comment if you have any other questions!

Your friend has two standard decks of 52 playing cards and asks you to randomly draw one card from each deck. What is the probability that you will draw two spades?

Answers

Answer:

If you have 2 decks of 52, it would be 1/52 chance per card, so since there are two, add it up, its 2/104

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

:))

A random sample of 10 employees of a company was selected to estimate the mean one-way commute time for all employees at the company. The mean and standard deviation of the sample were 38 minutes and 6 minutes, respectively. Assuming all conditions for inference are met.

Required:
What is the margin of error, in minutes, for a 95 percent confidence interval for the population mean one-way commute time?

Answers

Answer:

The margin of error is of 4.22 minutes.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.2622

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

We have that [tex]s = 6, n = 10[/tex]. So

[tex]M = T\frac{s}{\sqrt{n}} = 2.2622\frac{6}{\sqrt{10}} = 4.22[/tex]

The margin of error is of 4.22 minutes.

yoo please help me out

Answers

Answer:

70

Step-by-step explanation:

The answer is 187
U do 17 x 22 divided by 2 equals 187

The graph of F(x) below resembles the graph of G(x) = x?, but it has been
changed somewhat. Which of the following could be the equation of F(x)?
Fix) =>
Gix) = x2
A. F(x) - x-2
B. F{X) = 4x2+2
C. Fx) = - - 2
D. FN-4222

Answers

Answer:

B. f(x) = 4x² + 2

Step-by-step explanation:

f(x) = 4 (x - 0)² + 2

vertex: (0 , 2) with vertical stretch

Which choices describe a Subscript n Baseline = 4 (0.9) Superscript n? Check all that apply.

S1 = 4
S2 = 6.84
S3 = 10.156

The sequence diverges.

Answers

Answer:

b and d

Step-by-step explanation:

edge 2021

If the first term (a) is 4 and the common ratio (r) is 0.9, then the sequence diverges. Then the correct option is D.

What is a geometric sequence?

Suppose the initial term of a geometric sequence is a

and the term by which we multiply the previous term to get the next term is r

Then the sequence would look like

a, ar, ar², ar³, ...

The sequence is given below.

[tex]\rm a_n = 4 (0.9)^n[/tex]

Then the sum of the sequence will be given as

The first term (a) is 4. And the common ratio (r) is 0.9.

Then we get

[tex]\rm S_n = \dfrac{a (1 - r ^n)}{ (1 - r)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{ (1 - 0.9)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{0.1}\\\\\rm S_n = 40 (1 - 0.9^n)[/tex]

For n = 1, we have

S₁ = 40 (1 - 0.9)

S₁ = 40 x 0.1

S₁ = 4

For n = 2, we have

S₂ = 40 (1 - 0.9²)

S₂ = 40 x 0.19

S₂ = 7.6

For n = 3, we have

S₃ = 40 (1 - 0.9³)

S₃ = 40 x 0.271

S₃ = 10.84

If the common ratio is less than one then the sequence will diverge.

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A hat contains 3 blue and 5 black tickets.

​If one ticket is chosen at random from the hat, what is the probability that it is blue?

I WILL GIVE BRAINLIST ANSWER

Answers

Answer:

the answer is 3/8

Step-by-step explanation:

Elena and Diego each wrote an equation to represent the diagram. Elena wrote 35+w+41=180. Diego wrote 35+w=180.which equation do you agree with? You can assume that angles that look like right angles and indeed right angles

Answers

Answer:

Step-by-step explanation:

i need to see the diagram, to help you

How much INTEREST would you earn investing $5000 that earns 7% simple annual interest for 3 years?

Answers

Answer:

$1,125.26

Step-by-step explanation:

Start of Year 1 5000.00

Start of Year 2 5350.00

Start of Year 3 5724.50

Start of Year 4 6125.26

Pls help 10 ptsss
NO LINKS

Answers

Answer:

0,15/ 5,20/ 10,25/ 15,30/ 25,35

Step-by-step explanation:

the additional hours is x and total hours is y.

Who is Pemdas Orelse?

Answers

It’s something with math!

Answer:

Pemdas is a lesson in Mathematics.

Step-by-step explanation:

What is the meaning of Pemdas?

The operations is rule that tells the correct sequence of steps by step for explanation's math expression.

Meaning of each letter in Pemdas?

Pemdas means each letter are Parenthesis, Exponent, Multiplication, Division, Subtraction, and Addition.

(ʋ◕ᴥ◕ʋ)

Number 26 (PlSss Help I really need help on this) I’ll give 15 points!!!!!!

Answers

[tex]\mathcal\pink{The \: answer \: is }[/tex]

only one window has height that is a whole number of centimeters

[tex]\mathcal{HOPE \: IT \: HELPS}[/tex]

[tex]\huge\pink{mark \: as \: brainliest}[/tex]

In the figure to the right, what is the measure of angle DAC ?

I’m not going to show answer Options because I don’t want anyone to put something random

Don’t put links cs I’m not going to press it <3

Answers

Answer:

47 degrees

Step-by-step explanation:

i am super smart

help please mathematics!!!

Answers

Answer:

answer: 16

because 16/20 is an equivalent fraction to 4/5 hope that helps!

What is the coefficient in the following expression?
5a– 7

Answers

5 is the Coefficient
the coefficient is 5

I will give you Brainiest if you are right.

Answers

Just add the polynomials or combine like terms and you gets 3x+6

Answer:

C. 3x + 6

Step-by-step explanation:

x + x + x + 1 + 1 + 1 + 1 + 1 + 1 + (-1) + (-1) =

= 3x + 6

Answer: C. 3x + 6

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