Use the following information for questions 15 and 16. The National sleep founda
ID: 3205434 • Letter: U
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