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# sean and evan are college roommates who have part-time jobs as servers in restaurants. the distribution of sean’s weekly income is approximately normal with mean \$225 and standard deviation \$25. the distribution of evan’s weekly income is approximately normal with mean \$240 and standard deviation \$15. assuming their weekly incomes are independent of each other, which of the following is closest to the probability that sean will have a greater income than evan in a randomly selected week?

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### James

Guys, does anyone know the answer?

get sean and evan are college roommates who have part-time jobs as servers in restaurants. the distribution of sean’s weekly income is approximately normal with mean \$225 and standard deviation \$25. the distribution of evan’s weekly income is approximately normal with mean \$240 and standard deviation \$15. assuming their weekly incomes are independent of each other, which of the following is closest to the probability that sean will have a greater income than evan in a randomly selected week? from EN Bilgi.

## Sean and Evan are college roommates who have part

Sean and Evan are college roommates who have part-time jobs as servers in restaurants. The distribution of Sean’s weekly income is approximately normal with mean \$225 and standard deviation \$25. The distribution of Evan’s weekly income is approximately normal with mean \$240 and standard deviation \$15. Assuming their weekly incomes are independent of each other, which of the following is closest to the probability that Sean will have a greater income than Evan in a randomly selected week? a. 0.67 b. 0.700 c. 0.227 d. 0.303 e. 0.354 None

Sean and Evan are college roommates who have part-time jobs as servers in restaurants. The distribution of Sean’s weekly income is approximately normal with mean \$225 and standard deviation \$25. The distribution of Evan’s weekly income is approximately normal with mean \$240 and standard deviation \$15. Assuming their weekly incomes are independent of each other, which of the following is closest to the probability that Sean will have a greater income than Evan in a randomly selected week?

a. 0.67 b. 0.700 c. 0.227 d. 0.303 e. 0.354 None

6 months ago

Answer: d. 0.303 Step-by-step explanation:Normal Probability Distribution:Problems of normal distributions can be solved using the z-score formula.In a set with mean and standard deviation , the z-score of a measure X is given by: 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.Subtraction between normal variables:When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.In this question:We want the probability of Sean having a greater income than Evan, which is the probability of the subtraction of Sean's income by Evan's income is greater than 0.Distribution of the difference between Sean's and Evan's income:Sean has mean 225, Evan 240. So Sean's standard deviation is of 25, Evan's of 15. So Probability that Sean will have a greater income than Evan in a randomly selected week:Probability of the subtraction being greater than 0, which is 1 subtracted by the pvalue of Z when X = 0. So has a pvalue of 0.6951 - 0.695 = 0.305.Closest to 0.303, option d.

6 months ago 15 5.0

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## 2019 Stat AP

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## 2019 Stat AP

Jinyu Lee

2019 Stat AP Uploaded by Description:

2019 Stat Ap examFull description

AP ® Statistics Exam 2019

SECTION I: Multiple Choice

DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO.

At a Glance Total Time

1 hour and 30 minutes

Number of Questions 40

Percent of Total Score

50% Writing Instrument Pencil required Electronic Device Graphing calculator expected Instructions

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-   .

     

       

.

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-

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. 

          

,

     

    

.

          

,

         

.

    

  .

    

,

       

 .

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.

   

,

        

.  

       

.

        

         

.

      

       

-   .

     

-

         

  .

        

 . Form I Form Code 4PBP4-S 90  

Formulas begin on page 3.

Questions begin on page 6.

Tables begin on page 42.

-2-  

Formulas

(I)Descriptive Statistics

 x i x n     2 1 1 x s x x i n             22 12 12 12 11 11 p n s n s s n n        01 ˆ y b b x        1 2 i i i x x y y b x x       01 b y b x   1 1 i i x y x x y y r n s s                  1 y x s b r s      2 2 1 ˆ 2 i i b i y y n s x x        

Source : www.scribd.com

## AP Stat Flashcards

Start studying AP Stat. Learn vocabulary, terms, and more with flashcards, games, and other study tools.

## AP Stat

5.0 4 Reviews

20 studiers in the last hour

Height, in meters, is measured for each person in a sample. After the data are collected, all the height measurements

are converted from meters to centimeters by multiplying each measurement by 100. Which of the following statistics

will remain the same for both units of measure?

(A) The mean of the height measurements

(B) The median of the height measurements

(C) The standard deviation of the height measurements

(D) The maximum of the height measurements

(E) The z-scores of the height measurements

Click card to see definition 👆

E

Click again to see term 👆

A school principal wanted to investigate student opinion about the food served in the school cafeteria. The principal

selected at random samples of 50 first-year students, 50 second-year students, 50 third-year students, and 50 fourthyear

students to complete a questionnaire. Which of the following best describes the principal's sampling plan?

(A) A stratified random sample

(B) A simple random sample

(C) A cluster sample

(D) A convenience sample

(E) A systematic sample

Click card to see definition 👆

A

Click again to see term 👆

1/41 Created by btwinovel

### Terms in this set (41)

Height, in meters, is measured for each person in a sample. After the data are collected, all the height measurements

are converted from meters to centimeters by multiplying each measurement by 100. Which of the following statistics

will remain the same for both units of measure?

(A) The mean of the height measurements

(B) The median of the height measurements

(C) The standard deviation of the height measurements

(D) The maximum of the height measurements

(E) The z-scores of the height measurements

E

A school principal wanted to investigate student opinion about the food served in the school cafeteria. The principal

selected at random samples of 50 first-year students, 50 second-year students, 50 third-year students, and 50 fourthyear

students to complete a questionnaire. Which of the following best describes the principal's sampling plan?

(A) A stratified random sample

(B) A simple random sample

(C) A cluster sample

(D) A convenience sample

(E) A systematic sample

A

A candy company produces individually wrapped candies. The quality control manager for the company believes that

the weight of the candies is approximately normally distributed with mean 720 milligrams (mg). If the manager's

belief is correct, which of the following intervals of weights will contain the largest proportion of the candies in the

distribution of weights?

(A) 740 mg to 780 mg

(B) 700 mg to 740 mg

(C) 680 mg to 720 mg

(D) 660 mg to 700 mg

(E) 620 mg to 660 mg

B

A graph (not shown) of the selling prices of homes in a certain city for the month of April reveals that the distribution

is skewed to the left. Which of the following statements is the most reasonable conclusion about the selling prices

based on the graph?

(A) The mean is greater than the median.

(B) The median is the average of the first quartile and the third quartile.

(C) There are fewer selling prices between the first quartile and the median than there are between the median and the

third quartile.

(D) There are more selling prices that are less than the mean than selling prices that are greater than the mean.

(E) The value of maximum minus third quartile is less than the value of first quartile minus minimum.

E

The amount of time required for each of 100 mice to navigate through a maze was recorded. The histogram below

shows the distribution of times, in seconds, for the 100 mice.

Which of the following values is closest to the standard deviation of the 100 times?

(A) 2.5 seconds (B) 10 seconds (C) 20 seconds (D) 50 seconds (E) 90 seconds B

If a probability distribution is symmetric, which of the following statements must be true?

(A) The distribution is normal.

(B) The distribution is uniform.

(C) The distribution is bimodal.

(D) The mean of the distribution is equal to the median of the distribution.

(E) The interquartile range of the distribution is equal to the standard deviation of the distribution

D

Let X represent the number on the face that lands up when a fair six-sided number cube is tossed. The expected value

of X is 3.5, and the standard deviation of X is approximately 1.708. Two fair six-sided number cubes will be tossed,

and the numbers appearing on the faces that land up will be added. Which of the following values is closest to the

standard deviation of the resulting sum?

(A) 1.708 (B) 1.848 (C) 2.415 (D) 3.416 (E) 5.835 C

The number of hurricanes reaching the East Coast of the United States was recorded for each of the last ten decades

by the National Hurricane Center. Summary measures are shown below.

Min = 12 Lower quartile = 15 Median = 16 Max = 24 Upper quartile = 18 n = 10

Which of the following statements is true?

(A) The smallest observation is 12 and it is an outlier. No other observations in the data set could be outliers.

Source : quizlet.com

Do you want to see answer or more ?
James 4 month ago

Guys, does anyone know the answer?