Solution Found!
Working on summer vacation. Refer to the Adweek/Harris
Chapter 3, Problem 64E(choose chapter or problem)
Working on summer vacation. Refer to the Adweek/Harris (July 2011) poll of whether U.S. adults work during their summer vacation, Exercise 3.14 (p. 141). Recall that the poll found that 46% of the respondents work during their summer vacation, 35% do not work at all while on vacation, and 19% were unemployed. Also, 35% of those who work while on vacation do so by monitoring their business e-mails.
a. Given that a randomly selected poll respondent will work while on summer vacation, what is the probability that the respondent will monitor business e-mails?
b. What is the probability that a randomly selected poll respondent will work while on summer vacation and will monitor business e-mails?
c. What is the probability that a randomly selected poll respondent will not work while on summer vacation and will monitor business e-mails?
Questions & Answers
QUESTION:
Working on summer vacation. Refer to the Adweek/Harris (July 2011) poll of whether U.S. adults work during their summer vacation, Exercise 3.14 (p. 141). Recall that the poll found that 46% of the respondents work during their summer vacation, 35% do not work at all while on vacation, and 19% were unemployed. Also, 35% of those who work while on vacation do so by monitoring their business e-mails.
a. Given that a randomly selected poll respondent will work while on summer vacation, what is the probability that the respondent will monitor business e-mails?
b. What is the probability that a randomly selected poll respondent will work while on summer vacation and will monitor business e-mails?
c. What is the probability that a randomly selected poll respondent will not work while on summer vacation and will monitor business e-mails?
ANSWER:Step1 of 4:
From the given problem we have U.S. adults work during their summer vacation.
The number of respondents work during their summer vacation = 46%.
The number of respondents do not work at all while on vacation = 35%.
The number of respondents were unemployed = 19%.
The number of respondents monitors business e-mails = 35%.
Here our goal is:
a). We need to find the probability that the respondent will monitor business e-mails.
b). We need to find the probability that a randomly selected poll respondent will work while on summer vacation and will monitor business e-mails.
c). We need to find the probability that a randomly selected poll respondent will not work while on summer vacation and will monitor business e-mails.
Step2 of 4:
a). Let us define the events:
A = Respondents work during their summer vacation.
B = Respondents do not work at all while on vacation.
C = Respondents were unemployed.
D = Respondents monitors business e-mails.
Now,
P(A) = 46%
= 0.46
P(B) = 35%
= 0.35
P(C) = 19%
= 0.19
P(D|A