Below are the results of a survey of 1,364 individuals who were asked if they use social media and other websites to voice their opinions about television programs.

	Uses Social Media and Other Websites to Voice Opinions About Television Programs	Doesn't Use Social Media and Other Websites to Voice Opinions About Television Programs
Female	397	293
Male	321	353

(a)What is the probability a respondent is female? (Round your answer to four decimal places.)(b)What is the conditional probability a respondent is female given the respondent uses social media and other websites to voice opinions about television programs? (Round your answer to four decimal places.)

(c)Let F denote the event that the respondent is female and A denote the event that the respondent uses social media and other websites to voice opinions about television programs. Are events A and F independent? Why or why not?

No, P(F) P(A | F)

No, P(F) P(F | A)

Yes, P(A) = P(F | F)

Yes, P(F) < P(F | A)

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Part B

A survey to determine viewer response to a new television show obtained the following data.

Rating	Frequency
Poor	3
Below average	7
Average	12
Above average	13
Excellent	15

(a)What is the probability that a randomly selected viewer will rate the new show as average or better?

(b)What is the probability that a randomly selected viewer will rate the new show below average or worse?

Part C

A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 5% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 4% during the current year. In addition, it estimates that 13% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.

(a)What percentage of the employees will experience lost-time accidents in both years? %

(b)What percentage of the employees will suffer at least one lost-time accident over the two-year period? %