Suppose that f (x) = 1.5x2 for -1 < x < 1 and f (x) = 0 otherwise. Determine the following probabilities.a. P(0 < X)b. P(0.5 < X)c. P(-0.5 = X = 0.5)d. P(X<-2)e. P(X < 0 or X>-0.5)f. Determine x such that P(x < X) = 0.05.

Answer:a) P(0 < X) = 0.5b) P(0.5 < X) = 0.4375c) P(-0.5 = X = 0.5) = 0.125d) P(X< -2) = 0e) P(X < 0 or X>-0.5) = 1f) value of x is -0.9654Step-by-step explanation:Given that;f(x) = 1.5xNow. the probabilities would be the integral of the given function from (-1 to 1)a) P(0 < X)P(X > 0) Integral from 0 to 1 of f(x)= (1/2)x= 1/2 - 0= 0.5Therefore; P(0 < X) = 0.5b) P(0.5 < X)P(X > 0.5)this will also be done in the same way except that, the limits changes to { 0.5 to 1]= (1)/2 - (0.5) /2 = 0.4375Therefore; P(0.5 < X) = 0.4375c) P(-0.5 = X = 0.5)The limits become [-0.5 , 0.5]= (0.5)/2 - (-0.5)/2= 0.125Therefore; P(-0.5 = X = 0.5) = 0.125d) P(X<-2)since value of f(x) = 0 in that regionTherefore P(X< -2) = 0e) P(X < 0 or X>-0.5)= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )= 0.5 + 0.5625 - 0.0625 = 1Therefore; P(X < 0 or X>-0.5) = 1f) Determine x such that P(x < X) = 0.05.Let the value be 'a'Then, integral from -1 to a will = 0.05a - (-1) = 0.05 2a + 1 = 0.10a = 0.10 - 1a = -0.9a = -0.9 a = -0.9654Therefore, value of x is -0.9654

a) P(0 < X) = 0.5b) P(0.5 < X) = 0.4375c) P(-0.5 = X = 0.5) = 0.125d) P(X< -2) = 0e) P(X < 0 or X>-0.5) = 1f) value of x is -0.9654Determine the following probabilities:a) P(0 < X)P(X > 0) Integral from 0 to 1 of f(x)[tex]= (1\div 2)x^3\\\\= 1\div2 - 0[/tex]= 0.5So; P(0 < X) = 0.5b) P(0.5 < X)P(X > 0.5)Now[tex]= (1)^3\div 2 - (0.5)^3 \div2[/tex]= 0.4375Therefore; P(0.5 < X) = 0.4375c) P(-0.5 = X = 0.5)The limits become [-0.5 , 0.5][tex]= (0.5)^3\div 2 - (-0.5)^3\div 2[/tex]= 0.125Therefore; P(-0.5 = X = 0.5) = 0.125d) P(X<-2)since value of f(x) = 0 in that regionTherefore P(X< -2) = 0e) P(X < 0 or X>-0.5)= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )= 0.5 + 0.5625 - 0.0625 = 1Therefore; P(X < 0 or X>-0.5) = 1f) Determine x such that P(x < X) = 0.05.Let us assume the value be 'a'So, integral from -1 to a will = 0.05[tex]a^3 - (-1)^3 = 0.05 \times 2\\\\a^3 + 1 = 0.10\\\\a^3 = 0.10 - 1\\\\a^3 = -0.9\\\\a = \sqrt[3]{-0.9}[/tex]a = -0.9654Therefore, the value of x is -0.9654Learn more about the probabilities here: https://brainly.com/question/24710931

Mathematics College

Suppose that f (x) = 1.5x2 for -1 < x < 1 and f (x) = 0 otherwise. Determine the following probabilities.

a. P(0 < X)
b. P(0.5 < X)
c. P(-0.5 = X = 0.5)
d. P(X<-2)
e. P(X < 0 or X>-0.5)
f. Determine x such that P(x < X) = 0.05.

Answers

Answer 1

Answer:

a) P(0 < X) = 0.5

b) P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5) = 0.125

d) P(X< -2) = 0

e) P(X < 0 or X>-0.5) = 1

f) value of x is -0.9654

Step-by-step explanation:

Given that;

f(x) = 1.5x²

Now. the probabilities would be the integral of the given function from (-1 to 1)

a) P(0 < X)

P(X > 0)

⇒ Integral from 0 to 1 of f(x)

= (1/2)x³

= 1/2 - 0

= 0.5

Therefore; P(0 < X) = 0.5

b) P(0.5 < X)

P(X > 0.5)

this will also be done in the same way except that, the limits changes to { 0.5 to 1]

= (1)³/2 - (0.5)³ /2

= 0.4375

Therefore; P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5)

The limits become [-0.5 , 0.5]

= (0.5)³/2 - (-0.5)³/2

= 0.125

Therefore; P(-0.5 = X = 0.5) = 0.125

d) P(X<-2)

since value of f(x) = 0 in that region

Therefore P(X< -2) = 0

e) P(X < 0 or X>-0.5)

= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )

= 0.5 + 0.5625 - 0.0625

= 1

Therefore; P(X < 0 or X>-0.5) = 1

f) Determine x such that P(x < X) = 0.05.

Let the value be 'a'

Then, integral from -1 to a will = 0.05

a³ - (-1)³ = 0.05 × 2

a³ + 1 = 0.10

a³ = 0.10 - 1

a³ = -0.9

a = ∛-0.9

a = -0.9654

Therefore, value of x is -0.9654

Answer 2

a) P(0 < X) = 0.5

b) P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5) = 0.125

d) P(X< -2) = 0

e) P(X < 0 or X>-0.5) = 1

f) value of x is -0.9654

Determine the following probabilities:

a) P(0 < X)

P(X > 0)

⇒ Integral from 0 to 1 of f(x)

[tex]= (1\div 2)x^3\\\\= 1\div2 - 0[/tex]

= 0.5

So; P(0 < X) = 0.5

b) P(0.5 < X)

P(X > 0.5)

Now

[tex]= (1)^3\div 2 - (0.5)^3 \div2[/tex]

= 0.4375

Therefore; P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5)

The limits become [-0.5 , 0.5]

[tex]= (0.5)^3\div 2 - (-0.5)^3\div 2[/tex]

= 0.125

Therefore; P(-0.5 = X = 0.5) = 0.125

d) P(X<-2)

since value of f(x) = 0 in that region

Therefore P(X< -2) = 0

e) P(X < 0 or X>-0.5)

= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )

= 0.5 + 0.5625 - 0.0625

= 1

Therefore; P(X < 0 or X>-0.5) = 1

f) Determine x such that P(x < X) = 0.05.

Let us assume the value be 'a'

So, integral from -1 to a will = 0.05

[tex]a^3 - (-1)^3 = 0.05 \times 2\\\\a^3 + 1 = 0.10\\\\a^3 = 0.10 - 1\\\\a^3 = -0.9\\\\a = \sqrt[3]{-0.9}[/tex]

a = -0.9654

Therefore, the value of x is -0.9654

Learn more about the probabilities here: https://brainly.com/question/24710931

Related Questions

Solve the inequality below:
-3x +5-16
ALGEBRA

please help

Answers

Answer:

The answer is -14x

Step-by-step explanation:

5 - 16 = -11

-3 + -11 = -14

(all we have left is the x)

-14 + x = -14x

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Step-by-step explanation:

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289 meters I believe.

Step-by-step explanation:

81^3x÷3^4x=729 solve for x

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Step-by-step explanation:

x=45816 , 1.89552335

Answer:

Answer:

x=0.333333,−0.333333

Step-by-step explanation:

(813)(x) /3^4

x=729

Simplifies to:

6561x2=729

Let's solve your equation step-by-step.

6561x2=729

Step 1: Divide both sides by 6561.

6561x^2 /6561 = 729 /6561

x2= 1 /9

Step 2: Take square root.

x=±√ 1 /9

x=0.333333,−0.333333

I’m so bad at math Can someone help

Answers

Answer:

B and C

Step-by-step explanation:

It fits the inequality

Step-by-step explanation:

step 1. no one is categorically bad at math; they just haven't practiced.

step 2. this reads: x is less than 30 and x is greater than 15.

step 3. x cannot be 15 but can be 22 and 29.

‍♂️‍♂️‍♂️help me plz I dont no 1+1

Answers

Answer:

The answer is 2

Step-by-step explanation:

Since the number 1 plus 1 is 2

11, you do 1+1 n take away the +

1.
Write the equation, then find the value of x.

2.
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Answers

Answer:

32+36+2x=180

hope this helps

answer: 1) x=56 :), i can’t see the rest of the second question

I don't understand how to do this

Answers

Answer:

x = 86

Step-by-step explanation:

The top right and bottom left angles are part of the reflective property, in turn, the bottom left angle is also 94 degrees; to find the opposite relfective angle set, it would be, in this problem, the top left and bottom right angles; the two top angles make up 180 degrees, so it would be (180-94 = 86) 86 degrees for both the top left and the bottom right angles.

Hope this helps :)

Pat said that the amount of money he has in his pocket is greater than or equal to $5.75 but less than $13.00. Which number line shows the amount of money Pat might have?

Answers

Draw a line that starts at 5.75 and ends at 12.99

HELP PLEASE!!!
See the image!

Answers

Answer:

Step-by-step explanation:

Remark

I don't think the net helps you that much. The yellow diagram shows where the dimensions are.

Givens

L = 5w = 5h = 12

Formula

Surface Area = 2*L*w + 2*L*h + 2 * w * h

Solution

Surface Area = 2*5*5 + 2*5*12 + 2*5*12Surface Area = 50 + 120 + 120Surface Area = 290 in^2

The height of a standard coffee cup

would be about

7 meters

B

7 kilometers

7 centimeters

D

7 millimeters

Answers

Answer:

7 centimeters

Step-by-step explanation:

Standard size of a coffee cup is 7 centimeters

7 meters is too big

7 kilometers is bigger than 7 meter

7 millimeters is too small

In 2016, 5,200 parking permits were issued in a city. The number of parking permits increases by 5% every year. Let y represent the number of parking permits issued x years since 2016.

Which type of sequence does the situation represent?

A.
The situation represents an arithmetic sequence because the successive y-values have a common difference of 1.5.
B.
The situation represents an arithmetic sequence because the successive y-values have a common difference of 1.05.
C.
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.5.
D.
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.

Answers

The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.

What is geometric series?

A geometric series is a series in which the division of any consecutive two terms will be the same.

here, we have,

to determine the situation:

The given parameters are:

Initial = 5200

Rate = 5%

Because the population by 5% every year, then the situation is a geometric sequence.

The common ratio is then calculated as:

Ratio = 1 + Rate

This gives

Ratio = 1 + 5%

Evaluate

Ratio = 1.05

Hence, the situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.

Answers

Answer:

(a) C = 9000 + 15N

(b) Cost of 250 widgets is $12750

Step-by-step explanation:

The question has missing details. See attachment for complete question

Solving (a): An expression for total cost.

The expression is generated using:

[tex]Total\ Cost = Fixed\ Cost + Variable\ Cost * Number\ of\ Items[/tex]

From the given parameters:

[tex]Fixed\ Cost = 9000[/tex]

[tex]Variable\ Cost = 15[/tex]

[tex]Number\ of\ Items = N[/tex]

So, the expression becomes:

[tex]C = 9000 + 15 * N[/tex]

[tex]C = 9000 + 15 N[/tex]

Solving (b): Cost of 250 widgets

In this case:

[tex]N =250[/tex]

Substitute 250 for N in [tex]C = 9000 + 15 N[/tex]

[tex]C = 9000 + 15 * 250[/tex]

[tex]C = 9000 + 3750[/tex]

[tex]C = 12750[/tex]

If the root of x2-7x+k=0, m=1, find the value of the constant k

Answers

Answer:

hfrhghubifhvfuovhtjopugjob

Step-by-step explanation:

How would the area of a triangle be affected if the base and height are dilated by 1/2

Answers

Answer:

The area would reduce to 1/4 the original area

Step-by-step explanation:

The area of a triangle = (1/2)(base)(height) or bh/2

If the triangle base and height were to reduce by one-half, the formula would change to:

Area = (1/2)(1/2 base)(1/2 height) or bh/8. Which is a reduction by 1/4

Look at pic plz help

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Answer:

Mochi is growing quicker.

Step-by-step explanation:

At 3 weeks Mochi was 13 pounds but Kappa was only at 11. Hope this helps! I'd really appreciate brainliest.

Answer:

Mochi

Step-by-step explanation:

by 2 weeks Mochi was at weight 9 while Kappa was at 8 in weight the same time.

If y varies inversely with x, and y = 48 when x = 6, find y when x = 18.

Answers

Answer:

y = 16

Step-by-step explanation:

Given that,

y varies inversely with x i.e.

[tex]y=\dfrac{k}{x}[/tex]

Where

k is a constant of proportionality

Put y = 48 and x = 6 in the above equation to find k.

So,

[tex]k=48\times 6\\\\k=288[/tex]

Now put k = 288 and x = 18 in the above equation to find y.

[tex]y=\dfrac{288}{18}\\\\y=16[/tex]

So, the value of y is equal to 16 when x = 18.

Answer:

Step-by-step explanation:

3 Write the statement "10 is 7 less than the product of 5 and a" as a
mathematical equation.

Answers

the answer is 5a(10-7)

can you solve this equation?
-12 2/3 + 2 1/3

Answers

Answer:

-7.333

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

NEED THIS ASAP
Find QA.
A.4
b.-4
c.16
d.28

Answers

Answer:

d. 28

Step-by-step explanation:

7x = 3x + 16

subtract 3x from both sides: 4x = 16

divide both sides by 4: x = 4

plug in four to find length of QA: 3 x (4) + 16 = 12 + 16 = 28

A restaurant wants to study how well its salads sell. If 10 of the salads sold were salads, how many total salads did the restaurant sell?

Answers

Uh 10,I don’t know if this is a joke or if your wording was just wrong but the answer is 10 based off off your wording.

Answer:

Um... is this a joke it’s 10

Step-by-step explanation:

Never was given anything to help solve they just assume you know it

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Step-by-step explanation:

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Extend the pattern below by four terms write an observation about the pattern pattern 76, 70, 64,58,52

Answers

Answer:

46, 30, 24, 18, 12

Step-by-step explanation:

A company that advertises on websites uses the formula below to estimate the number of people who will click on one of its advertisements, where c is the number of clicks on that advertisement, t is the length of time the advertisement is displayed (in days), and d is the distance from the top of the website to the advertisement (in inches).

c = 152t - 44d

How many clicks would the company estimate to receive from its advertisement that is displayed 7 inches from the top of the website for 18 days? A. 272 B. 2,692 C. 2,428 D. 2,729

Answers

Answer:

C. 2428

Step-by-step explanation:

c=152t-44d

Its given that,

t=18, d=7

substituting

c=152(18)-44(7)=2428

Please rate brainliest

How Many Equal Parts Are In 4/5

Answers

Answer:

Step-by-step explanation:

Image result for how many equal parts are in 4/5

Each equal part is called one-fourth or a quarter of the whole sheet. So, any whole can be divided into four equal parts and each part is one-fourth or a quarter of the whole.

The answer would be 4 ^^

J.D. power and Associates calculates and publishes various statistics concerning car quality. The dependability score measures problems experienced during the past 12 months by original owners of three-year-old vehicles (those that were introduced for the 2017 model year). For these models of cars, Ford had 1.27 problems per car and Toyota had 1.12 problems per car. (Data extracted from 2013 U.S. Vehicle Dependability Study,J.D. Power and Associates, February 13, 2013, Let X be equal to the number of problems with a three -year -old Ford.
a. What assumptions must be made in order for X to be distributed as a Poisson random variable? Are these assumptions reasonable? Making the assumptions as in (a), if you purchased a Ford in the 2010 model year, what is the probability that in the past 12 months, the car had
b. zero problems?
c. two or fewer problems?
d. Give an operational definition for problem. Why is the operational definition important in interpreting the initial quality score?

Answers

Answer:

0.281 ; 0.864

Step-by-step explanation:

1.)

p decreases as n increases (n increases, p--> 0)

λ ≥ 0

P(x = x) = (e^-λ * λ^x) ÷ x!

λ for Ford = 1.27

B) zero problems :

P(x = 0) :

(e^-1.27 * 1.27^0) ÷ 0! = 0.281

P(x = 0) = 0.281

Two or fewer problems :

P(x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)

P(x ≤ 2) = 0.281 + 0.357 + 0.226

P(x ≤ 2) = 0.864

D.) It allows for early detection and thus adequate curtailment of the problem at an a stage in which it seems easier to curb.

Please help I need this answer ASAP

Answers

Answer:

7 granola bars

Step-by-step explanation:

560 calories in 4 bars

560/4 = 140 per bar

980/140 = 7 bars

a baseball team wins 45% what fraction of the games do they win

Answers

Answer:

= 9/20

Step-by-step explanation:

45% = 45/100

= 0.45

= 0.45/1 × 100/100

= 45/100

= 9/20

Jason had 141 dollars to spend on 8 books. After buying them he had 13 dollars. How much did each book cost ?

Answers

Answer:

Each book cost $16

Step-by-step explanation:

Step 1: Subtract $13 from 141 to get 128

Step 2: Divide 8 by 128 to get 16

Each book cost $16

Hope this helps

pls mark brainliest!

Missy read 1/12 of a book by Monday 1/4 of the book by Tuesday and 5/12 of the book by Wed. if the pattern continues how much of the book will she have read by Fri. draw a chart or explain

Answers

Answer:

part A:

1/12 on day 1

1/4 or 3/12 on day 2

5/12 on day 3

Missy read 2/12 or 1/6 every day

Part B:

if day 1 is 1/12 and Friday is day 5 and she reads 2/12 per day

2/12 * 4 = 8/12

so 1/12 + 8/12 = 9/12 or 3/4 by Friday

Answer:

Monday: 1/12

Tuesday: 3/12

Wednesday: 5/12

Step-by-step explanation:

Which one doesn't belong? 100, 25, 36, 30

Answers

Answer:

Step-by-step explanation:

100 bro

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Suppose that f (x) = 1.5x2 for -1 < x < 1 and f (x) = 0 otherwise. Determine the following probabilities. a. P(0 < X) b. P(0.5 < X) c. P(-0.5 = X = 0.5) d. P(X<-2) e. P(X < 0 or X>-0.5) f. Determine x such that P(x < X) = 0.05.

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Suppose that f (x) = 1.5x2 for -1 < x < 1 and f (x) = 0 otherwise. Determine the following probabilities.

a. P(0 < X)
b. P(0.5 < X)
c. P(-0.5 = X = 0.5)
d. P(X<-2)
e. P(X < 0 or X>-0.5)
f. Determine x such that P(x < X) = 0.05.