An individual who has automobile insurance from a certain company is randomly selected. Let X be the number of moving violations for which the individual was cited during the last 3 years. The probability mass function of X is given below as; Number of moving violations (X) 0 1 2 3 4 P(X) 0.17 0.23 0.27 0.24 0.09 What is the cumulative distribution function

Answers

Answer 1

Answer:

(X)      0        1          2          3         4

P(X)   0.17   0.23    0.27    0.24    0.09

F(x)    0.17    0.04    0.65    0.91      1      

Step-by-step explanation:  

Given that;

(X)      0        1          2          3         4

P(X)   0.17   0.23    0.27    0.24    0.09

cumulative distribution function can be calculated by;  be cumulatively up the value of p(x) with the values before it;

so

x      F(x)

0     P(X = 0) = 0.17

1       P(X = 0) + P(X = 1) = 0.17 + 0.23 = 0.4

2      P(X = 0) + P(X = 1) + P(X = 2) = 0.17 + 0.23 + 0.27 = 0.65

3      P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.17 + 0.23 + 0.27 + 0.24 = 0.91

4      P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.17 + 0.23 + 0.27 + 0.24 + 0.09 = 1

Therefore, cumulative distribution function f(x) is;

(X)      0        1          2          3         4

P(X)   0.17   0.23    0.27    0.24    0.09

F(x)    0.17    0.04    0.65    0.91      1      


Related Questions

Use a calculator to determine the answer to 4.25 x
6.86?
Your answer isn't correct yet.
Once you submit your answer, does this fit the same
pattern as all of the previous calculations. In the
explain box, explain why or why not.
Submit and Explain

Answers

You didn't provide enough information.

4.25 x 6.86 = 29.155

Please help me i'm cri.

Answers

A.

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Common Factors: 1, 2, 3, 4, 6, and 12

-----

B.

Factors of 16: 1, 2, 4, 8, and 16.

Factors of 56: 1, 2, 4, 7, 8, 14, 28, and 56

Common Factors: 1, 2, 4,  and 8

-----

C.

Factors of 30: 1, 2, 3, 5, 6, 10, 15 and 30.

Factors of 75: 1 , 3 , 5 , 15 , 25 and 75

Common Factors: 1, 3, 5, and 15.

-----

D.

Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.

Common Factors: 1, 2, 3, 6, 9, and 18.

-----

E.

Whenever finding the greatest common factors of any pair of numbers it is necessary to list all the factors of each number. Then find the number that appears in both!

pls help me:(!!!!!!!!!!

Answers

Answer:

A.........................

Which ordered pair solves the system of equations?

Answers

Answer:

(1;1)

Step-by-step explanation:

1. if y=2x-1, then it is possible to substitute 2x-1 into the 2d equation:

5x-4(2x-1)=1, ⇒ 5x-8x+4=1, ⇔ -3x=-3, ⇔ x= 1;

2. if x=1, then y=2x-1=2-1= 1.

3. the required pair is (1;1)

Jenny measured 1/7 cup of flour and 1/3 cup of flour. How many total cups of flour did Jenny measure?

Answers

Answer:

I think it 25/36.

Step-by-step explanation:

The total amount of flour is 4/9 + 1/4. The common denominator of 9 and 4 is 36.

So 4/9 + 1/4 = 16/36 + 9/36 = 25/36

Jenny measured a total of 10/21 cups of flour.

Given that,
Jenny measured 1/7 cup of flour and 1/3 cup of flour. How many total cups of flour did Jenny measure is to be determined.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.


What is the fraction?

Fraction is defined as the number of compositions that constitute the Whole. The fraction can be represented in the form of a / b.

Here,
Let, the total measure of the cups of flour be x,

x = 1/7 + 1/3
Taking lcm of the denominator 7, 3 which is 21,
now multiplying the numerators by 3 and 7,
x = (3*1 + 1*7)/21
x = 10 / 21

Thus, Jenny measured a total of 10/21 cups of flour.

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Write an equation of the line that passes through the given points. (−3, 5), (0, −1)

Answers

Answer:

Step-by-step explanation:

(-1 - 5)/(0 + 3)= -6/3 = -2

y - 5 = -2(x + 3)

y - 5 = -2x - 6

y = -2x - 1

please help!!! if you can thank you so much and have a bless day!!!!

Answers

Answer:

6

Step-by-step explanation:

The area of the parallelogram is 315 square units. What is the height of the parallelogram?


WILL GIVE BRAINLEST

Answers

Answer:

15

Step-by-step explanation:

A÷B= H (Area divided by base equals height)

315÷21= 15

Answer:

height = 15

Step-by-step explanation:

Area of a parallelogram: Base * height

Plug in the values we know.

21 * height = 315

Divide both sides by 21

height = 15

F. Jennifer earns $55,000 a year. About 18% is taken out for taxes. How
much is taken out for taxes?

Answers

Answer:

9900

Its taxes

dndjndnd

Answer:

$9,900

Step-by-step explanation:

18% is equal to .18

.18 times $55,000 = $9,900

1. It costs $3.45 to buy 3/4 lb of chopped walnuts. How much would it cost to purchase
7.5 lbs of walnuts? Explain or show your reasoning.

Answers

Answer:

$34.50

Step-by-step explanation:

First, how many 3/4 lbs are in 7.5 lbs?

7.5 lbs = 15/2 lbs.

(15/2) / (3/4) = 10

There are 10 "3/4" lbs in 7.5 lbs.

So, if it costs $3.45 to purchase 3/4 lbs of chopped walnuts, it would cost $3.45 times 10 dollars to purchase 7.5 lbs of chopped walnuts, or $34.50.

Let me know if this helps!

is a set that is contained in a larger set.

Answers

Answer:

I- What? yes?

Step-by-step explanation:

01 PARTA Write an equation for the line represented by the data in the table. Х y -3 11 0 5 2 1 1 5 -5 7 -9​

Answers

Answer: I don't know what it means by "equation" but a coordnite plane

its -3,11 0,5 2,1 5,-5 7,-9

Step-by-step explanation:

A $60 sweater is on sale for 25% off. What is the sale price of the sweater?​

Answers

Answer:

$45

Step-by-step explanation:

60/4=15 15x3(75%)=45

your sweater is $45 with the discount

Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 140 cards, and 20 are selected without replacement for functional testing. a. If 20 cards are defective, what is the probability that at least 1 defective card is in the sample

Answers

Answer:

The probability that at least 1 defective card is in the sample is [tex]0.9644[/tex]

Step-by-step explanation:

Here

N = 140

and n = 20

We will use the below given formula

P(at least 1 defective) = 1 - P( 0 defectives)

P( 0 defectives) =

[tex]= \frac{^{20}C_0 * ^{120}C_{20}}{ ^{140}C_{20}}\\= 0.0356 1-0.0356 \\= 0.9644[/tex]

Determine the volume of a sphere with a diameter of 70 mm.
Question options:

A)

3,216.9 mm3

B)

100,024 mm3

C) CORRECT ANSWER

179,594.4 mm3

D)

21,714.7 mm3

Answers

Answer:

c.

Step-by-step explanation:

4/3 pi r²

4/3 × 3.142 or 22/7 × 3.5²

3) Our next presidential election is in
2016. A presidential term lasts 4
years. How many presidential terms
will be served between our next
election and the year 2500?

Answers

Answer:121

Step-by-step explanation:

Prove that the value of the expression 7^8–7^7 +7^6 is divisible by 43.

Answers

Step-by-step explanation:

1. if to evaluate the given experssion, then

7⁶(7²-7+1)=7⁶*43.

2. if to divide this evaluated expression by 43, then

7⁶*43/43=7⁶.

A right triangle and some of its measurements are shown in this diagram. Based on the measurements shown in the diagram, what is the value of T? HELP HELP GOD IMMA FAIL PLZ THIS IS URGENT

Answers

Answer:

t = 6√3 mm

Step-by-step explanation:

The angles of the triangle are 30°, 60°, and 90°. That's lucky for you, because the sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2

The side opposite the 90° angle is 12 mm, so the side opposite the 30° angle is 12/2 = 6 mm

t = side opposite the 60° angle = 6√3 mm.

The value of T is 6√3.

What is Trigonometry?

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

Hypotenuse = 12 mm

Using Trigonometry

sin 60 = P/H

√3/2= P/12

12√3/2= P

P= 6√3

Thus, the value of T is 6√3.

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Simply 2(×+4)+3(×-4)

Answers

Answer:

5x - 4

Step-by-step explanation:

In this question, you have to simplify the expression.

Solve:

2(x + 4) + 3(x - 4)

Use the distributive property.

2x + 8 + 3(x - 4)

2x + 8 + 3x - 12

Combine like terms.

5x + 8 - 12

5x - 4

Since there is no more similar terms, we are left with our final answer.

Your answer would be 5x - 4

2y - 2x = 8
y + 6x = 11

If (1,5) is the solution to the system of equations above, what is the value of 5y?​

Answers

Answer:

2

Step-by-step explanation:

is this for a test because if so good luck

Answer:

its 20 Period

Step-by-step explanation:

A recipe calls for 1 1/2 cups of flour for 1 dozen of cookies. How much flour is needed for 32 cookies?

Answers

Answer:

4 cups

Step-by-step explanation:

Cesar bought 20 boxes of pizza and gave 14 nosed away what percentage is left

Answers

Answer:

30%

Step-by-step explanation:

14/20 is 70% he gave away, so 30% is left.

Answer:

30%

Step-by-step explanation:

I hope this helps :)

What do opposite rays form

Answers

Answer:

they form a single straight line:)

Answer:

a line

Step-by-step explanation:

Here is ray AB  

     A                         B

     +----------------------+------------------->

It starts at point A, goes through point B, and goes only in one direction, to the right. Points A and B lie on line AB.

Now I'll add an opposite ray whose endpoint is also point A.

             C                A                         B

<-----------+--------------+----------------------+------------------->

Ray AC also lies on the same line as ray AB, but starting at point A, it goes in the opposite direction of ray AB. When you add ray AC to its opposite ray AB, you get the entire line AB.

Answer: a line


Marilyn buys pens that cost $12 per dozen. What is the cost of one pen?
$12.00
$24.00
$1.00
$1.20

Answers

C is the correct answer as a dozen is twelve so the cost of one would be a dollar.
Your and would be: C) $1.00

When the American Idol competition was down to the final two contestants, the winner was ahead of the second-place finisher by $12$ million votes. If the total number of votes was $90$ million, how many votes did the winner get?

Answers

Answer:

I know you go to aops...

Step-by-step explanation:

First show your thinking before you ask others how to solve a problem, and ASK YOUR TEACHER FOR HELP!!

C=-a/b what does a equal

Answers

Answer:

a = -bc

Step-by-step explanation:

We are given the equation:

c = -a/b

Because multiplication and division are inverse operations, if we move b over to the other side, since it was dividing on the right side, it would be multiplied on the other side (I don't know how to explain that well)

so you can make it look like this:

b*c = -a

Or:

-a = b*c

Then, do isolate a, we will have to divide by -1 on both sides

a = -b*c

To check this, we can plug in numbers

-8 = -16/2

-16 = -8*2

16 = 8 * 2

Let me know if you have any questions

Help FAST
2. Which of the following is the difference of two squares?
49m2 + 81n?
9a? -
- 466
99 36h
O 2x2 - 6y2

Answers

Answer:

[tex]9a^2-4b^2[/tex] is the correct answer.

Step-by-step explanation:

Difference of squares can be written as a^2 - b^2. This is equal to (a - b)(a + b)

In your answers, we see, 9a^2 - 4b^2. They are subtracting which is correct. 9 and 4 can also be rooted. 9 to 3 and 4 to 2 so

[tex]9a^2-4b^2[/tex] can be written as [tex](3a-2b)(3a+2b)[/tex]

The expression that is the difference between the two squares is 9a² - 4b⁶.

The correct option is B.

What is subtraction?

Mathematical operations like subtraction exist. It is employed to delete words or objects from the phrase.

To find the difference between the two squares,

let a² and b² be the two terms.

So, a² - b² results in (a - b) (a + b).

From the given choices,

9a² - 4b⁶ = (3a)² - (2b³)²

As per the formula the expression can be rewritten as,

(3a - 2b³) (3a + 2b³)

Therefore, the required expression is 9a² - 4b⁶.

To learn more about subtraction;

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Solve the following system of
equations:
x = 3y + 4
3x - 5y = 8

Answers

You plug in the x = 3y+4 into the 3x part of 3x -5y=8. You distribute the 3 and add like terms to end up with 4y=12. You divide by 4 to get y alone and get -1. That’s your y value. You plug that -1 into the y part of any of the two equations to find x. The simplest one is to plug it in to x=3y+4, and you get -3+4=x, so x= -1

Charmaine drives a truck for a soft drink company. Her truck is filled with 20 ounce cans and 80 ounce bottles. Let x be the number of 20 ounce cans the truck is carrying, and let y be the number of 80 ounce bottles.The truck must be carrying at most 48,000ounce). Using the values and variables given, write an inequality describing this

Answers

9514 1404 393

Answer:

  20x +80y ≤ 48000

Step-by-step explanation:

If x is the number of 20-ounce cans, then the number of ounces in the cans is 20x.

If y is the number of 80-ounce bottles, then the number of ounces in the bottles is 80y.

"At most 48,000 ounces" means the total of ounces of cans and ounces of bottles must be less than or equal to 48000.

  20x +80y ≤ 48000

(05.06)Use a net to find the surface area of the right triangular prism shown below:

Three rectangles next to each other with a width of 8 feet. The first and second rectangles length are unknown, and the last is 13 feet long. There are two right triangles above and below the last rectangle. One is labeled with a base of 5 feet and a height of 12 feet.

88 square feet
232 square feet
283 square feet
300 square feet

Answers

Answer: The answer is 300

Step-by-step explanation: The triangle formula = ( B · H) ÷ 2

B = 5     H = 12     5 · 12 = 60 ÷ 2 = 30

Since there is two triangles you will have two 30's.

The rectangle farthest to the right = 13 · 8 = 104

If you unfold the triangle it will line up perfectly with the 3 rectangles, so...

The middle rectangle = 5 · 8 = 40

The rectangle farthest to the right = 12×8 = 96

Add them all up

30 + 30 + 104 + 40 + 96 = 300

Hope this helped!

Answer:

300

Step-by-step explanation:

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