USA Today reports that about 25% of all prison parolees become repeat offenders. Alice is a social worker whose job is to counsel people on parole. Let us say success means a person does not become a repeat offender. Alice has been given a group of four parolees. Find the probability P(r) of r successes ranging from 0 to 4. (Round your answers to three decimal places.)
P(0) =
P(1) =
P(2) =
P(3) =
P(4) =
What is the expected number of parolees in Alice's group who will not be repeat offenders? What is the standard deviation?

Answers

Answer 1

Answer:

P(0) = 4C0 * 0.75⁰ * 0.25⁴ = 0.00390625 . = 0.004

P(1) = 4C1 * 0.75¹ * 0.25³ = 0.046875 . . . = 0.047

P(2) = 4C2 * 0.75² * 0.25² = 0.2109375 . . = 0.211

P(3) = 4C3 * 0.75³ * 0.25¹ = 0.421875 . . . = 0.422

P(4) = 4C4 * 0.75⁴ * 0.25⁰ = 0.31640625 . = 0.316

Check:

P(0) + P(1) + P(2) + P(3) + P(4) = 1 . . . ok

Step-by-step explanation:


Related Questions

Evaluate 2^9 (2 to the 9th power)

Answers

Answer:

512

Step-by-step explanation:

2^9 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512

Mindy wants to cover a rectangular section of her back yard with gravel. The length of the section is 7 meters and the width of the section is 6.5 meters. A garden in the rectangular section of her back yard with an area of 25 square meters will not be covered with gravel. How much area will Mindy need to consider when purchasing the gravel?

Answers

Answer:

20.5 m^2

Step-by-step explanation:

entire back yard area = 7 x 6.5 = 45.5 m^2

45.5 - 25 = 20.5 m^2

A car manufacturer provided information about two different car models
Car A
Car B
у
Gas
(gallons)
Distance
(miles)
0
0
Distance (miles)
350
300
250
200
150
100
50
60
vlund
100
140
X
0
1 2 3 4 5 6 7 8 9 10 11
Gas (gallons)
10
200
The graph and table each show a proportional relationship between the number of miles traveled and the advertised number of gallons of gas used for
the two car models, A and B, respectively
What is the unit rate of Car A?
miles per gallon
What is the unit rate of Car B?
miles per gallon

Answers

Answer:

Step-by-step explanation:use Slader if u have a textbook

i need help asap!!!!​

Answers

Answer:

760 inches squared

Step-by-step explanation:

surface area -

4(14 x 10) + 2( 10 x 10) = 560+200=760

write a rule that tell how to use mental math to find the product 30,000 x 50,000​

Answers

Answer:

1,500,000,000

Step-by-step explanation:

First multipy the first digits, which are the ones that do not contain zero.

then put all of the zeros at the end, so product will be 1,500,000,000 because their are 8 zeros in total

if you check with calculator, you get 1,500,000,000

pls help will mark brainliest

Answers

Answer:

80in²

Step-by-step explanation:

Hey There!

So the first step of this problem is to find the width of the scale drawing

To do so we need to find the scale factor

To find the scale factor we divide the length of the room by the length of the scale factor

32/8=4

so the scale factor is 4

now to find the width

40/4=10

so the width of the scale drawing is 10 in

now we can find the area given the length and the width

10x8=80in²

so we can conclude that the area of the scale drawing is 80in²

I need help with this !

Answers

The length of the third side is 13 because it’s a “5-12-13” triangle it’s a formula

Answer: Try using calculatorsoup dot com Significant Figures auto Don't put m in the answer there's No Unit(s)

a = 12 m

b = 5 m

c = 13 m

P = 30 m

s = 15 m

K = 30 m2

ha = 5 m

hb = 12 m

hc = 4.6153846153846 m

Step-by-step explanation:

multiply 2.345 x 0.023
show your work please

Answers

Answer:

2.345×0.023

2.345..........3 decimal point

0.023........3 decimal point

    2345

×       23               1.    first we change it whole number for multiply.

····················          2.count the decimal point.here  6 decimal points are there.

+ 7 0 3  5          3.we got the answer 53935.here only 5 digits are there.

4 6 9 0 0         4.now we add one zero backside  053935

····························5 . final answer is   0.053935

 5  3  9  3   5

···························

answer is =0.053935

Step-by-step explanation:

Can someone find the surface area of the composite shape and show work! I’ll give 30pts! Thanks!

Answers

Answer:

382 cm²

Step-by-step explanation:

The shape can be decomposed into two rectangular prism or cuboids

✔️Dimension of prism 1 (smaller prism):

L = 10 cm

W = 3 cm

H = 7 - 4 = 3 cm

Surface area of prism 1 = 2(LW + LH + WH)

= 2(10*3 + 10*3 + 3*3)

= 2(69)

Surface area of prism 1 = 138 cm²

✔️Dimension of prism 2 (larger prism):

L = 10 cm

W = 8 cm

H = 4 cm

Surface area of prism = 2(LW + LH + WH)

= 2(10*8 + 10*4 + 8*4)

= 2(152)

Surface area of prism 2 = 304 cm²

✅Surface Area of the composite shape = (Surface area of prism 1 + surface area of prism 2) - (2 × area of the base of prism 1)

= (138 + 304) - (2 × L × W)

= 442 - (2 × 10 × 3)

= 442 - 60

= 382 cm²

Uniform Distribution Notation Format Which of the following is the correct notation used for a uniform probability distribution where the smallest value of the random variable X is 9, and the largest value of the random variable X is 28. X - B{9, 28) X - U(28.9) You Answered U - X(9, 28) Correct Answer X - U(9,28)​

Answers

The answer if in that link that I can’t open

Which value for x makes the sentence true? 1/35 + x = 1/7
A. 6/35
B. 1/28
C. 4/35
D. 1/21
WHATS THE ANSWER :(

Answers

x= 4/35 (c)

if we take 1/7 and make the denominator the same as 1/35, it would be 1/7x5/5 and it’d make it 5/35.

1/35+x=5/35

x=4/35

[tex]\int\limits^1_0 {e^t^x} \, dx[/tex]

Answers

Answer:

all it says is the link

Step-by-step explanation:

micheal brought 12 used books at th book sale. he paid $42.60 for the books. if each book cost the same price, how much did one book cost

Answers

Answer:

Each book cost $3.55

Step-by-step explanation:

Cuantos megametros hay en ocho millones de metros ?

Answers

Answer:

1 megámetro = 1000000 metros

Step-by-step explanation:

A cube has a edge of 8 cm it is cur into two equal parts calculate the ratio of total surface area

Answers

Answer:

[tex]Ratio = 3: 2[/tex]

Step-by-step explanation:

Given

Shape: Cube

[tex]L = 8cm[/tex]

The surface area is calculated as:

[tex]Area = 6*L^2[/tex]

[tex]A_1 = 6*8^2[/tex]

[tex]A_1 = 384[/tex]

When it is cut by half; the length is affected; so, it forms a cuboid of the following dimension:

[tex]L = \frac{8}{2} = 4[/tex] --- Length

[tex]W = 8cm[/tex] --- Width

[tex]H = 8cm[/tex] --- Height

The surface area is:

[tex]Area = 2 *(L*W + H * L + W * H)[/tex]

[tex]A_2 = 2 *(4*8 + 8 *4 + 8 * 8)[/tex]

[tex]A_2 = 2 *128[/tex]

[tex]A_2 = 256[/tex]

So, the ratio of surface area is:

[tex]Ratio = A_1 : A_2[/tex]

[tex]Ratio = 384 : 256[/tex]

Divide by 128

[tex]Ratio = 384/128 : 256/128[/tex]

[tex]Ratio = 3: 2[/tex]

Candice buys 2/8 of a container of roasted peanuts. Alan buys 2/3 of a container. Both containers are the same size. Candice says 2/8 is between 1/2 and 1, so she buys more peanuts than Alan. Is Candice correct? Explain.

Answers

Since my name is in this question, I'll answer it :)

Answer:

Yes, she's right.

Step-by-step explanation:

2/8 is simplified to 1/4. Between 1 and 1/2, it is 1/4. So yes, I (Candice) was right. :)

Kate ran 6 miles. How far did she run in kilometers?

Answers

Answer:

9.65606

Step-by-step explanation:

PLEASE HELP THIS IS DUE SOON

A girl scout troupe baked a batch of cookies to sell at the annual bake sale. 1 point They made between 100 and 150 cookies. One fourth of the cookies were lemon crunch, and one fifth of the cookies were chocolate macadamia nut. What is the largest number of cookies the troop could have baked?

Answers

Answer:

150 cookies

Step-by-step explanation:

The girl scout troupe could have baked between 100 to 150 cookies. Therefore, the largest amount they could have baked is 150 cookies. The amount on how many lemon crunch and chocolate macadamia nut cookies they made doesn't matter here.

Hope this helps!


What is the greatest common factor of 138 and 345?

Answers

Answer:

Step-by-step explanation:

Step by Step Solution. Calculate Greatest Common Factor for : 138, 345. Factorize of the above numbers : 138 = 2 • 3 • 23. 345 = 3 • 5 • 23. Build a prime factors table. ...

Why learn this.

Terms and topics. GCF calculator.

Related links. Greatest common factor (GCF) explained | Arithmetic (video) | Khan Academy. LCM on Purplemath.

Answer:

69 I believe.

Step-by-step explanation:

Levi bought 5 pairs of jeans for $127.63. How much would he need to pay for 9 pairs of jeans?

Answers

Answer:

$229.73

Step-by-step explanation:

5 Pair of jeans = 127.63

divide by 5 to get 1 pair of jeans.

1 pair of jeans = 25. 526 rounded 25.53

times 9 to get to 9 pair of jeans.

9 pair of jeans = 229. 734 rounded 229.73

29. Write an equation of the line that passes through (1, -3) and has slope 2.


Welp plz

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

use the formula y - y1 = m (x - x1)

Help me please y’all please help!

Answers

9514 1404 393

Answer:

  (c)  180 cm²

Step-by-step explanation:

Maybe you want the area of the trapezoid. That is given by the formula ...

  A = (1/2)(b1 +b2)h

where b1 and b2 are the base lengths, and h is the height.

Here, the top base is marked 16 cm, and the bottom base is shown as 4 cm longer, so is 20 cm.

  A = (1/2)(16 cm +20 cm)(10 cm) = 180 cm²

The graphs below have the same shape. What is the equation of the red
graph?

Answers

Where are the graphs??? How’re we supposed to send you the answers?

Milly has a equal number of 20p coins and 50p coins . The value of her 20p coins is £2.80 . Work out the total value of her 20p and 50p coins

Answers

Answer:

£9.80

Step-by-step explanation:

The computation of the total value is shown below:

Given that

The value of 20p coins is £2.80

So the value of 50p would be

= £2.80 × 50 ÷ 20

= £7

Now the total value is

= £2.80 +  £7

= £9.80

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It is believed that the machine is underfilling the bags. A 15 bag sample had a mean of 409 grams with a standard deviation of 22. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Answers

Answer:

We reject the null hypothesis, and accept the alternative hypothesis.

So, it means that the machine is under filling the bags

Step-by-step explanation:

Given

Null Hypothesis

[tex]H_0:\mu = 419[/tex] --- works correctly at 419g

Alternate Hypothesis

[tex]H_0:\mu < 419[/tex] --- under fills the bag

[tex]n =15[/tex] --- the sample

[tex]\bar x = 409[/tex] --- the mean

[tex]\sigma = 22[/tex] --- the standard deviation

[tex]\alpha = 0.05[/tex] --- the significance level

Required

What is the decision rule

Since n is less than 30, we make use of t test

[tex]t = \frac{\bar x - \mu}{\sigma/\sqrt n}[/tex]

[tex]t = \frac{409 - 419}{22/\sqrt{15}}[/tex]

[tex]t = \frac{-10}{22/ 3.87}[/tex]

[tex]t = \frac{-10}{5.58}[/tex]

[tex]t = -1.792[/tex]

Calculate df

[tex]df = n-1[/tex]

[tex]df = 15-1[/tex]

[tex]df = 14[/tex]

Calculate the p value from the Student's t-distribution  at df = 14 and [tex]t = -1.792[/tex]

[tex]p =0.047[/tex]  

Given that: [tex]\alpha = 0.05[/tex]

Since [tex]p < \alpha[/tex]

So, it means that the machine is under filling the bags

The gardening club set a goal of raising at least $500
in flower sales. So far it has raised $415. How many
more dollars does the gardening club need to raise
to reach its goal?

Answers

Answer:

Nxnjsjdndkknnndnnnenndnnd

Answer:

85

Step-by-step explanation:

If you subtract 415 from 500 you get 85.

Therefore the gardening club needs 85$

If you could mark brailiest that would be great, I'm trying to rank up.

Hope I helped:)

HAve a great day:)

Round 7 3/8 to the nearest whole number?!?

Answers

Answer:

7

Step-by-step explanation:

Everything including 1/2 and above rounds up to the next whole number.

3/8 < 4/8

7 and 3/8 rounds to 7


3. Which of the following is a polynomial with roots 4,6, and - 7

Answers

Answer: P(x)=  x³ - 3 x² - 46 x +168

Step-by-step explanation:

(4,6, -7)

hence the polynomial will be equal to

P(x) = (x-4) (x-6) (x+7)

P(x) = (x-4) (x²+7 x -6 x -42)

P(x) = (x-4) (x²+x -42)

P(x) = x³ + x²-42 x -4 x² -4 x +168

P(x) =  x³ - 3 x² - 46 x +168

hence, the required polynomial is P(x) =  x³ - 3 x² - 46 x +168

Have a awesome day✨

If a rectangular prism has a length, width, and height of 3/8 centimeter, centimeter, 5/8 and centimeter, 7/8 respectively, then the volume of the prism
is _____ cubic centimeter.

Answers

Answer:

3/8 x 5/8 x 7/8=105/512.

Step-by-step explanation:

Mrs. Liang said that 36%of the students in her math class earned a grade of B or higher. Which ratio represents the portion of students receiving a grade of B or higher to the total number of students in the class?

Answers

Answer:

36:45

Step-by-step explanation:

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. A nationwide survey of college seniors by the University of Michigan revealed that almost 70% disapprove of daily pot smoking, according to a report in Parade. Suppose 12 seniors are selected at random and asked their opinion. Our goal is to investigate the number of pot smokers. (a) Verify that this is an example of a binomial experiment. (b) What is the probability that exactly one of the 12 seniors disapproves daily pot smoking Write an equation of the line that passes through the points (3,4) and (0,2).y=23x2y3=23(x0)y0=23(x3)y+0=23(x+3)which one of them are it can someone help me do this one problem please like I need help Right now ill mark brainliswt plss help Which statement best summarizes why the cell theory was developed over time?A. As new cells evolved they proved the cell theory was inaccurate.B. The discovery of new evidence resulted in changes to the cell theory.C. Changes in cell models showed the cell theory was based on opinion.D. The cell theory was modified with the discovery of every new organelle. Make a pedigree for left-handedness using information of the Thomas family:The father, Tom, and mother, Diane, have three children. The two oldest children are Anna and Mary and the youngest child is Teddy. The oldest daughter, Anna, is married and has an older son, Will, and younger daughter, Vanessa. Mary is also married and has a son, Patrick. Teddy is not yet married. Everyone in this family is right handed except the father, the oldest daughter, and the granddaughter. Right-handedness is dominant. Please help me ASAP thank you..(NO SCAMMERS)!! examine the wintegraph of monear function2.0--What is the average of charge over the intervall HELP PLZZZ Which optical devices can form images that are larger than the originalobject? Rewrite the following statements starting with a different pronoun as indicated. - Il est drole, mais il est laid. Elles ______ . - Elles sont belles et intelligentes: Ils ______ . Match each LCD with the correct pair of rational expressions. LCD = 2(3)(5)(7)(x)(x) (3ax + 4a) - (9x + 15a) TVLand sells home entertainment systems and also offers a complementary installation service. The same service is offered by other vendors for $50 on average, and TVLand typically charges approximately 40% more than other vendors for similar services on a stand-alone basis. Using the adjusted market assessment approach, the stand-alone selling price of the installation service is: Which condition is most likely to lead to high winds? Point K is located at (1.5) on the coordinate plane. Point K is reflected over the Z-acis to create point K'. What ordered pair describes the location of K"? Wilson drew a rectangle on a coordinate plane.What are the dimensions of the rectangle?A. 2 units by 3 units B. 2 units by 4 units C. 3 units by 3 units D. 3 units by 4 units What is it called when an offspring's trait is identical to the parent and it's siblings?purebreddominantartificially selectedrecessive Whats a fable???? Please help here this is for CHELSEA HNO3 + H2SO4 + NOYou now have these half-reaction equations:3e + HNO3 NOS H2SO4 + 6eWhich factor will you use for the top equation?Which factor will you use for the bottom equation?