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.
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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 ____________________
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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 ____________________
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Pr. Shibalovich