Use the following information for questions 15 and 16. The National sleep founda

Question

Use the following information for questions 15 and 16.

The National sleep foundation reported that 37% of adults snore, 28% of adults wake up at least once per night, and 71% of those who snore will also wake up at least once per night. We will define the events as:

C = a person snores

D = a person wakes up at least once per night

What notation should be used to represent the value 0.71?

Question 15 options:

A. P(C|D)

B. P(C)

C. P(D)

D. P(D|C)

16. What proportion of people who do not wake up at least once per night snore? Please show work.

A. P(C|D)

B. P(C)

C. P(D)

D. P(D|C)

Explanation / Answer

Given P(C)=0.37

P(D)=0.28

P(D/C)=0.71

15(a)P(C/D)=P(D/C)P(C) /P(D)= 0.71(0.37)/0.28=0.938

(b)P(C)=0/37

(C)P(D)=0.28

(d)P(D/C)=0.71 (given)

16)P(D'/C)=1-P(D/C)=1-0.71=0.29

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