# Statistics Question

Test 2MAT

106

03, 04

Shibalovich

2022

September 22

50 min.

X

X

X

This test is a take-home test. Please take it by yourself without help

from anyone else. Please be honest.

Chapter Test 2

Statistics, MAT106

Name_____________________________

This test is worth 60 points. Solve each problem on a separate sheet of paper, and then write your answer on the line

provided. State exact answers unless specified otherwise. Please do not use blue or red pen.

Find the complement.

1) Let sample space S = {10,11,12,…,42}, event A include odd numbers between 13 and 25,

and event B include numbers {16, 17, 18, …, 24}.

Use this information for answer questions 1 through 4.

Find B’

Answer ____________________

Compute probability.

2) P(A )

Answer ____________________

3) P(A or B) = ?

Answer ____________________

4) P(A|B) = ?

Answer ____________________

Determine whether the events are mutually exclusive.

5) Draw one ball colored red from a bag.

Draw one ball colored blue from the same bag.

Answer ____________________

Is Event B dependent or independent of Event A?

6) A: A yellow ball is drawn from a box with 10 balls and placed next to the box.

B: A black ball is drawn next and placed next to the yellow one.

Answer ____________________

1

Pr. Shibalovich

Find the indicated probability.

7) A study of consumer smoking habits includes 152 people in the 18-22 age bracket (57 of

whom smoke), 139 people in the 23-30 age bracket (31 of whom smoke), and 88 people

in the 31-40 age bracket (27 of whom smoke). If one person is randomly selected from

this sample, find the probability of getting someone who is age 23-30 or smokes. State

your answer as a decimal to three decimal places.

Answer ____________________

8) If a person is randomly selected, find the probability that his or her birthday is not in May.

Ignore leap years.

Answer ____________________

9) If you pick a card at random from a well shuffled deck, what is the probability that you get

a heart that is not a face card?

Answer ____________________

10) A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing

an ace or a 9?

Answer ____________________

11) A die with 12 sides is rolled. What is the probability of rolling a number less than 11?

Answer ____________________

12) The table below shows the soft drink preferences of people in three age groups.

cola root beer lemon-lime

under 21 years of age 40

25

20

between 21 and 40 35

20

30

over 40 years of age 20

30

35

If one of the 255 subjects is randomly selected, find the probability that the person is

between 21 and 40 years of age and prefers cola drink.

Answer ____________________

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Pr. Shibalovich

13) Find the probability of correctly answering the first 5 questions on a multiple choice test if

random guesses are made and each question has 4 possible answers.

Answer ____________________

14) What is the probability that five randomly selected people all have different birthdays?

Use a non-leap year. State your answer as a decimal to four decimal places.

Answer ____________________

15) A sample of 4 different calculators is randomly selected from a group containing 42 that

are defective and 21 that have no defects. What is the probability that all four of the

calculators selected are defective?

Answer ____________________

3

Pr. Shibalovich