MAT211 Arizona Standard Deviation & Distribution Calculus Questions Attached below is the pdf of the questions. I do not need the work shown, just the answers. Thank you! 12/7/2019

1.

P.3 – MAT 211, section Tuesday, Fall 2019 | WebAssign

–/3 points

WaneFMAC6 P.3.004.

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Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for the density function. (Round your answers to four

decimal places.)

f(x) = 3x on

0,

2/3

E(X) =

Var(X) =

σ(X) =

2.

–/3 points

WaneFMAC6 P.3.007.

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Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for the density function. (Round your answers to four

decimal places.)

f(x) = ex on [0, ln 2]

E(X) =

Var(X) =

σ(X) =

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3.

P.3 – MAT 211, section Tuesday, Fall 2019 | WebAssign

–/3 points

WaneFMAC6 P.3.008.

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Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for the density function. (Round your answers to four

decimal places.)

f(x) =

1

on [1, e]

x

E(X) =

Var(X) =

σ(X) =

4.

–/3 points

WaneFMAC6 P.3.012.

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Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for the density function.

f(x) = 0.05e−0.05x on [0, +∞)

E(X) =

Var(X) =

σ(X) =

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P.3 – MAT 211, section Tuesday, Fall 2019 | WebAssign

–/1 points

5.

WaneFMAC6 P.3.030.

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Find the median of the random variable with the probability density function given below. (Round your answer to four decimal places.)

f(x) = 0.05e−0.05x on [0, +∞)

–/1 points

6.

WaneFMAC6 P.3.034.

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Find the median of the random variable with the probability density function given below. (Round your answer to four decimal places.)

f(x) =

1

on [1, e]

x

–/1 points

7.

WaneFMAC6 P.3.063.

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Assuming that workers’ salaries in your company are uniformly distributed between $15,000 and $30,000 per year, calculate the average

salary in your company.

$

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P.3 – MAT 211, section Tuesday, Fall 2019 | WebAssign

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WaneFMAC6 P.3.066.

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Investments in junk bonds are declining continuously at a rate of 2% per year. How long will an average dollar remain invested in junk

bonds?

yr

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1.

P.1 – MAT 211, section Tuesday, Fall 2019 | WebAssign

WaneFMAC6 P.1.015.

–/11 points

My Notes

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The following table shows the number of females in a country in 2000, broken down by age. Numbers are in millions.

75

Age

0–18 18–25 25–35 35–45 45–55 55–65 65–75 and

over

Number 34.1

15.3

19.8

24.4

19.2

11.3

10.1

10.9

Construct the associated probability distribution (with probabilities rounded to four decimal places).

75

Age

0–18

18–25

25–35

35–45

45–55

55–65

65–75

and

over

Probability

Use the distribution to compute the following. (Round your answers to four decimal places.)

(a)

P(18 ≤ X ≤ 55)

(b)

P(X ≤ 45)

(c)

P(X ≥ 45)

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2.

P.1 – MAT 211, section Tuesday, Fall 2019 | WebAssign

WaneFMAC6 P.1.016.

–/11 points

My Notes

Ask Your Teacher

The following table shows the number of males in a country in 2000, broken down by age. Numbers are in millions.

75

Age

0–18 18–25 25–35 35–45 45–55 55–65 65–75 and

over

Number 33.7

15.7

21.9

25.9

18.5

11.2

8.7

6.8

Construct the associated probability distribution (with probabilities rounded to four decimal places).

75

Age

0–18

18–25

25–35

35–45

45–55

55–65

65–75

and

over

Probability

Use the distribution to compute the following. (Round your answers to four decimal places.)

(a)

P(25 ≤ X ≤ 65)

(b)

P(X ≤ 18)

(c)

P(X ≥ 15)

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3.

P.1 – MAT 211, section Tuesday, Fall 2019 | WebAssign

–/3 points

WaneFMAC6 P.1.017.

My Notes

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The following histogram shows part of the probability distribution of the size (in megatons of released energy) of large meteors that hit the

Earth’s atmosphere. (A large meteor is one that releases at least one megaton of energy, equivalent to the energy released by a small

nuclear bomb.)

Calculate or estimate the following probabilities. (Round your answers to three decimal places.)

(a) That a large meteor hitting the Earth’s atmosphere will release between 1 and 4 megatons of energy.

(b) That a large meteor hitting the Earth’s atmosphere will release between 8 and 9.5 megatons of energy.

(c) That a large meteor will release at least 5 megatons of energy.

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P.1 – MAT 211, section Tuesday, Fall 2019 | WebAssign

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WaneFMAC6 P.1.019.

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An automobile parts manufacturer makes heavy-duty axles with a cross-section radius of 2.3 cm. In order for one of its axles to meet the

accuracy standard demanded by the customer, the radius of the cross section cannot be off by more than 0.02 cm. Construct a histogram

with X = the measured radius of an axle, using categories of width 0.01 cm, so that all of the following conditions are met.

• X lies in the interval [2.26, 2.34].

• 75% of the axles have a cross-sectional radius between 2.29 and 2.31.

• 10% of the axles are rejected.

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P.1 – MAT 211, section Tuesday, Fall 2019 | WebAssign

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5.

P.1 – MAT 211, section Tuesday, Fall 2019 | WebAssign

1.05/1 points

Previous Answers

WaneFMAC6 P.1.020.

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As a campaign manager for a presidential candidate who always seems to be getting himself into embarrassing situations, you have decided

to conduct a statistical analysis of the number of times per week he makes a blunder. Construct a histogram with X = the number of times

he blunders in a week, using categories of width 1 unit, so that all of the following conditions are met.

• X lies in the interval [0, 10].

• During a given week, there is a 70% chance that he will make 3 to 5 blunders.

• Never a week goes by that he doesn’t make at least one blunder.

• On occasion, he has made 10 blunders in one week.

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P.1 – MAT 211, section Tuesday, Fall 2019 | WebAssign

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