If the random variable x is distributed normally with a mean of zero and a standard deviation of one, which of the following probabilities is not correct? a. P(x < 2) = .9772 b. P(x ≥ 1) = .1587 c. P(x ≤ 1) = .8413 d. P(x = 0) = .50

Answers

Answer 1

Answer:

d. P(x = 0) = .50

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

a. P(x < 2) = .9772

This is the p-value of Z = 2.

Looking at the z-table, Z = 2 has a p-value of 0.9772, and thus, this probability is correct.

b. P(x ≥ 1) = .1587

This is 1 subtracted by the p-value of Z = 1.

Looking at the z-table, Z = 1 has a p-value of 0.8413.

1 - 0.8413 = 0.1587, and so, this probability is correct.

c. P(x ≤ 1) = .8413

This is the p-value of Z = 1, that is, 0.8413, so this is correct.

d. P(x = 0) = .50

The probability of an exact value on the normal distribution is 0, and thus, option d is wrong and is the answer to this question.


Related Questions

distribute 48xy + 36x

Answers

Answer:

48xy+36x

=6x(8y+6)

Step-by-step explanation:

All sides of quadrilateral ABCD are tangent to circle P.
What is the perimeter of the quadrilateral below?

Answers

Answer:

44.4 units

Step-by-step explanation:

Recall: 2 tangents drawn from an external point from a circle are congruent

Perimeter of the quadrilateral = AB + BC + CD + AD

AB = 3.1 + 8 = 11.1

BC = 3.1 + 8 = 11.1

CD = 11.1 (given)

AD = 8 + 3.1 = 11.1

Perimeter = 11.1 + 11.1 + 11.1 + 11.1

= 44.4 units

Graph the image of this triangle after a dilation with a scale factor 1/2 centered origin

Answers

i dont know this questions

Does the equation y = 2(1/2)x represent exponential growth or decay

Answers

Answer:

Growth.

Step-by-step explanation:

y = 2(1/2)x is the same as y = x. as it multiplies and divides x by 2. y = x is exponential growth.

Hope that this helps!

There are 10 students in a class. How many different ways can a teacher ask 3 students to complete tasks?

Answers

Answer:

518,400ways

Step-by-step explanation:

nPr=n/n-r

10P3=10/(10-3)

=10/7

=10x9x8x7x6x5x4x3x2x1/7

=3,628,800/7

=518,400 ways

There is a total of 120 ways by which a teacher can ask 3 students from 10 students to complete the task.

What is Binomial distribution?

Statistics frequently employs the binomial distribution as a discrete distribution. When compared to a binomial distribution, the normal distribution is continuous.

The chance for 'x' success of an investigation in 'n' trials is represented by the binomial distribution.

As per the given data in the question,

Total number of students in the class = 10

So, the ways the teacher can ask 3 students to complete the task will be,

= ¹⁰C₃ = 10!/[3! (10 - 3)!]

= (10 × 9 × 8 × 7!)/[3! × 7!]

= 720 / 6

= 120 ways.

To know more about Binomial Distribution:

https://brainly.com/question/14565246

#SPJ2

Find the volume of the solid obtained by rotating the region under the graph of the function f(x)=5x−x2 about the x-axis over the interval [0,5].

V=?

Answers

Trade for trade here The Meaning of Freedom in the United States
Between the 1860s and the 1920s
In this essay, you are going to explain how the meaning of freedom changed from the Civil War until the
Roaring Twenties.
Your essay should at least include the following:
• Introductory Paragraph: Briefly state how you think the meaning of freedom changed during this
period.
• Body Paragraph 1: What did freedom mean to the slaves freed after the Civil War? (Unit 1)
• Body Paragraph 2: What did freedom mean to Native Americans at the end of the 19th century?
(Unit 2)
• Body Paragraph 3: What did freedom mean to women in the Suffrage Movement? (Unit 4)
• Additional Paragraphs: Add other historical examples. Optional
. Concluding Paragraph: Summarize your argument. Was there an expansion in freedom during
this period? What groups gained more freedom? What obstacles remained?
Provide a title to your essay and then write at least five paragraphs.
V= help me...

Find the perimeter of an
octagon with each side
measuring 9 cm.?

Answers


9(the measurement of each side)x8(the amount of sides)=72
Answer 72cm

what is the volume of a rectangle prism that is 1 1/2 inches by 2 1/4 inches by 4 inches?

Answers

Answer:

13.5 inches

Step-by-step explanation:

11.5 x 2.25 x 4

I could be wrong

Answer:

13.5 inches is correct :)

Find the slope. Simplify completely. ​

Answers

4/1 or 4. I hope this helps!

Hello pls help plsss and thx!

Answers

Answer B

Distribute the 2

please help me with 1 to 4!! <33

Answers

if you meant to put a link there is none

Find the value of x. Write your answer in simplest form.

Answers

By using Pythagoras Theorem:-

(Hypotenuse)² = (Base)²+ (Perpendicular)²

Taking, Hypotenuse As H

Base As B

Perpendicular As P

_________________________

Solving The Question

H²= B²+ P²

[tex](9 \sqrt{2} ) {}^{2} = x {}^{2} + {x}^{2} \\ \\ \implies \: 81 \times 2 = 2x {}^{2} \\ \\ \implies162 = 2x {}^{2} \\ \\ \implies \frac{162}{2} = x {}^{2} \\ \\ \implies \cancel\frac{162}{2} = x {}^{2} \\ \\ \implies81 = {x}^{2} \\ \\ \implies x = \sqrt{81} \\ \\ \implies \: x = 9[/tex]

Hope This Helps You ❤️

What is the area of the composite figure?
O 262 cm2
O 264 cm2
O 266 cm
O 268 cm2
5.
20 am

Answers

Answer:

B: 264 cm squared

Step-by-step explanation:

got it right

We can write the volume of the cylinder as 48π cubic feet.

What is Area?

Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫F(x, y) dx dy

Given is to find the area of the given composite figure.

It is given to find the area of the given composite figure. We can write the area of the figure as -

Area = Area of square + Area of trapezoid + Area of rectangle

Area = {side x side} + {1/2(a + b) x h} + {L x B}

Area = {10 x 10} + {1/2(14 + 8) x 4} + {20 x 6}

Area = 100 + 44 + 120

Area = 264 square centimeter

So, it can be concluded that the area of the figure is 264 square centimeter.

Therefore, we can write the the area of the figure is 264 square centimeter.

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Let u
(5, -12) and C =
3. What is cu?
39
39
51
21
Done -

Answers

Answer: [tex]||cu||=39[/tex]

Step-by-step explanation:

Given

[tex]u=<5,-12>[/tex] and [tex]c=-3[/tex]

[tex]cu[/tex] is a vector with 3 times the vector u in opposite direction

[tex]|u|=\sqrt{5^2+(-12)^2}\\|u|=\sqrt{25+144}\\|u|=13[/tex]

[tex]\therefore ||cu||=|3\times 13|\\\Rightarrow ||cu||=39[/tex]

option (a) is correct.

In what place is the digit 1 in the number 607.912
hundreds
tens
tenths
hundredths

Answers

Answer:

tenths.........

Step-by-step explanation:

.....is the answer

If somebody puts links report them

I really need help on this any help ?!?!? Extra points!?

Answers

Answer:

circumference = 2πr

diameter = 3ft, so radius =3/2 =1.5

                       =2π ×1.5=3π= 9.42ft

Answer:

here diameter =3 ft

radius=diameter/2

=3/2

=1.5 ft

now use formula 2 pie r where pie =3.14

=2*3.14*1.5 ft

=9.42 ft

Step-by-step explanation:

Hope this helps u!!

PLEASE HELP) Use a table of values to graph the function ƒ(x) = –3|x|. Select the correct graph below.

Answers

Answer:

B

Step-by-step explanation:

To find the answer you can just input a number for x and then you should come up with a y-value.

The graph mentioned in option B is correct.

We have the the following function -

f(x) = -3 |x|

We have to select the correct graph from the given ones.

State the property Modulus.

For a function f(x) = x, which is real in nature -

f(x) = |x| =  [tex]\left \{ {{-x\;\;\;for\;x < 0} \atop {x\;\;\;for\;x > 0}} \right.[/tex]

We will use this modulus property to solve the graph. We can further expand the function y = -3|x| as -

f(x) = -3|x| = [tex]\left \{ {{-3(-x)\;\;\;for\;x < 0} \atop {-3x\;\;\;for\;x > 0}} \right.[/tex]

For every negative value of x -

y = f(x) = 3x = negative value in a multiple of 3.

For every positive value of x -

y = f(x) = - 3x = negative value in a multiple of 3.

Hence, the graph mentioned in option B is correct.

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PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWE 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE

Answers

Answer:

The volume of the pyramid is 126in^3

Step-by-step explanation:

To find the volume of a pyramid you need to use this formula which is

V=lw·h/3

V=9·6·7/3

V=54·7/3

V=126in^3

.pl.help meerrrrreeeeee​

Answers

they are website explaining this so you can grasp I will share the link

What is the value of
CNIC
?
81
16
16
81
16
81
81
16
PLEASE HELP!!!!!!!!!

Answers

Answer:

10.5

Step-by-step explanation:

what is the length of the line segment CD with endpoints (-3,2) and (2,2) as shown on the coordinate plane?

A 2 units
B 3 units
C 4 units
D 5 units

Answers

Answer:

Solution given:

(x1,y1)=(-3,2)

(x2,y2)=(2,2)

length[d]=?

we have

d=[tex] \sqrt{(x2-x1)²+(y2-y1)²} [/tex]

=[tex] \sqrt{(2+3)²+(2-2)²} [/tex]

=[tex] \sqrt{5²} [/tex]

=5units

D 5 units is a right answer.

By the age of 2 a child is about 50% of his adult height how tall was a two year old who's adult height is 6 feet and 2 inches

Answers

Answer:

3 ft 1 in

Step-by-step explanation:

6 ft 2 inches comes to 74 inches.

50% of that is 37 inches, or 3 ft 1 in

help please..............

Answers

Answer:

19.4 in.

Step-by-step explanation:

The two angles are supplementary. One angle is 65 degrees. What is the degree of the other angle? solution only input the number. *

Answers

Answer:

115

Step-by-step explanation:

supplementary angles add up to equal 180

That being said we can find an angles supplement by subtracting the measure of the given angle from 180

Thus, answer = 180 - 65

180 - 65 = 115

FINDING PERIMETER need help right now

Answers

Answer:

if you want to find perimeter you must do addition for the corners. For example on long side in the regtangle the number is 4. And the short side is 6. The one thing we must do is addition. Than the answer will be 10. You're welcome.

Jenny's mom is 33 years old. What percent of Jenny's mother's age Is Jenny's great-grandmother's age 90?​

Answers

Answer:

answer: 36.67

Hope that helps!

Answer:

[tex]36\frac{2}{3}[/tex] %

Step-by-step explanation:

[tex]\frac{33}{90}: \frac{y}{100}[/tex]

y · 90 = 33 · 100

90y = 3300

90y ÷ 90 = 3300 ÷ 90

[tex]y=36\frac{2}{3}%[/tex]

-7 2/3 + ( - 5 1/2) + 8 3/4 =

Answers

Answer:

-53/12

Step-by-step explanation:

-7 2/3=-23/3

-5 1/2=-11/2

8 3/4=35/4

----------------

-23/3+(-11/2)+35/4

-23/3-11/2+35/4

-92/12-66/12+105/12

-53/12

Answer:

- 4 5/12

Step-by-step explanation:

- 7 2/3 + (-5 1/2) + 8 3/4

-7 2/3 - 5 1/2 + 8 3/4

-7 4/6 - 5 3/6 + 8 3/4

-13 1/6 + 8 3/4

-13 2/12 + 8 9/12 = -4 5/12

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

the percent of fat calories that a person in america consumes each day is normally disributed with a mean of about 36 and a standard deviation of about ten. suppose that 16 indivduals are randomly chosen. true or false: the random variable is defined as the average percent of fat caories consumed each day by a person in america.

Answers

Answer:

True

Step-by-step explanation:

Given that

The mean is 36

And, the standard deviation is 10

We take the sample of 16 individuals and the same would be randomly chosen

We need to find out that whether the given statement is true or false

So,

The given statement is true as the random variable means the average percent that could be consumed each day by a person

Plz help me well mark brainliest if you are correct!!...

Answers

yes, between -1 and 0

Answer:

-4 and -3

Step-by-step explanation:

because -2/3 of- 5 is -3.5 so in between -4 and -3 is -3.5

Please help
NO LINKS!
24 on the left, 20 on top, 14 on right and bottom.

Answers

Answer:

Volume:

First lets find the height of the triangle:

14 divided by 2 = 7

7 is now your base since we split it apart into two right triangles.

24^2 + 7^2 = 625

625: 25^2 = 225 perfect!

25 is now your height:

25 x 14 = 350, 350 divided by 2 (x 1/2) = 175(area of triangle)

175(area of triangle) x 20(width) = 2100, around 3500 m^3

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