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Week 3 Question 1     Text: David Lane     Page 217, Problem 7

You flip a coin three times. 

a.   What is the probability of getting a head on only one of your flips?

Enter answer as a reduced fraction, a decimal rounded to 3 places without the leading 0 or as a percent with one decimal place and no % sign. 

 

 

b.    What is the probability of getting a head on at least one flip?

Enter answer as a reduced fraction, a decimal rounded to 3 places without the leading 0 or as a percent with one decimal place and no % sign.

 

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Question 2 (17 points)

  

Question 2 options:

Week 3 Question 3     Text: David Lane     Page 222, Problem 27

 

 

A refrigerator contains 6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, and 2 mangos. 

a.   Imagine you stick your hand in this refrigerator and pull out a piece of fruit at random.

 

What is the probability that you will pull out a pear?

Enter answer as a reduced fraction, a decimal rounded to 3 places without the leading 0 or as a percent rounded to

1 decimal place and no % sign.

 

 

  

b.   Imagine now that you put your hand in the refrigerator and pull out a piece of fruit.

You decide you do not want to eat that fruit so you put it back into the refrigerator and pull out another piece of fruit.

What is the probability that the first piece of fruit you pull out is a banana and the second piece you pull out is an apple?

Enter answer as a reduced fraction, a decimal rounded to 3 places without the leading 0 or as a percent rounded to 1

decimal place and no % sign.

 

 

  

c.    What is the probability that you stick your hand in the refrigerator one time and pull out a mango or an orange?

Enter answer as a reduced fraction, a decimal rounded to 3 places without the leading 0 or as a percent rounded to

1 decimal place and no % sign.

 

 

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Question 3 (17 points)

  

Question 3 options:

Week 3 Question 4     Text: Barbara Illowsky     Page 207, Problem 86 

Roll two fair dice. Each die has six faces. 

a,    Let A be the event that either a three or four is rolled first, followed by an even number.

Find P(A)

Enter answer as reduced fraction, a decimal rounded to 4 places; do not include a leading zero or enter answer as a

percent rounded to 2 decimal places; do not include the % sign.

 

 

 

b.     Let B be the event that the sum of the two rolls is at most seven.

Find P(B)

Enter answer as reduced fraction, a decimal rounded to 4 places; do not include a leading zero or enter answer as a

percent rounded to 2 decimal places; do not include the % sign.

 

 

  

c.   Are A and B mutually exclusive events?

Enter answer

Y for Yes

N for No

 

 

 

 

  d.    Are A and B independent events?

  Enter answer

Y for Yes

N for No

 

 

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Question 4 (17 points)

  

Question 4 options:

Week 3 Question 5     Text: Barbara Illowsky     Page 209, Problem 98

At a college, 72% of courses have final exams and 46% of courses require research papers. Suppose that 32% of courses

have a research paper and a final exam. 

Let F be the event that a course has a final exam.

Let R be the event that a course requires a research paper.

 

 a.   Find the probability that a course has a final exam or a research project.

Enter answer as decimal rounded to 2 decimal places; do not include the leading zero or enter answer as a percent

rounded to 0 decimal places; do not include the % sign.

 

 

 

b.    Find the probability that a course has neither of these two requirements.

Enter answer as decimal rounded to 2 decimal places; do not include the leading zero or enter answer as a percent

rounded to 0 decimal places; do not include the decimal and the % sign.

 

 

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Question 5 (16 points)

  

Question 5 options:

Week 3 Question 6     Text: Barbara Illowsky     Page 210, Problem 112

 

Hair TypeBrownBlondBlackRedTotals

Wavy2015343

Straight801512 

Totals20215

Table 3.22

Complete the table.

a.    What is the probability that a randomly selected child will have wavy hair?

Enter answer as non reduced fraction, or as a  decimal rounded to 1 place, do not include the leading zero, or enter answer as a percent rounded

to 0 places; do not include the decimal point and the % sign.

 

 

 

b.    What is the probability that a randomly selected child will have either brown or blond hair?

Enter answer as a non-reduced fraction, or a a decimal rounded to 4 places, do not include the leading zero, or enter answer

as a percent rounded to 2 places; do not include the % sign.

 

 

 

c.    What is the probability that a randomly selected child will have wavy brown hair?  (wavy and brown)

Enter answer as a non-reduced fraction, or a decimal rounded to 4 places, do not include the leading zero, or enter answer

as a percent rounded to 2 places; do not include the % sign.

 

 

 

d,    What is the probability that a randomly selected child will have red hair, given that he or she has straight hair?

Enter answer as a non-reduced fraction, or a decimal rounded to 4 places, do not include the leading zero, or enter answer

as a percent rounded to 2 places; do not include the % sign.

 

 

 

e.    If B is the event of a child having brown hair, find the probability of the complement of B.

Enter answer as a non-reduced fraction, or a decimal rounded to 4 places, do not include the leading zero,

or enter answer as a percent rounded to 2 places; do not include the % sign.

 

 

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Question 6 (16 points)

  

Question 6 options:

Week 3 Queston 7     Text: Barbara Illowsky     Page 214, Problem 124

The percent of licensed U.S. drivers (from a recent year) that are female is 48.60.

Of the females, 

5.03% are age 19 and under

81.36% are age 20–64

13.61% are age 65 or over

 Of the licensed U.S. male drivers,

 5.04% are age 19 and under

81.43% are age 20–64

13.53% are age 65 or over

 

Suppose that 10,000 U.S. licensed drivers are randomly selected. 

a.    How many would you expect to be male?

Enter answer as an Integer.

 

 

 

Construct a contingency table of gender versus age group.  

b.    Using the contingency table, find the probability that out of the age 20–64 group, a randomly selected driver is female.

Enter answer as decimal rounded to 4 places, do not include the leading zero, or enter answer as a percent rounded

to 2 places; do not include the % sign.

 

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