1)The television show Pretty Betty has been successful for many years. That show recently had a share of 16, meaning that among the TV sets in use, 16% were tuned to Pretty Betty. Assume that an advertiser wants to verify that 16% share value by conducting its own survey, and a pilot survey begins with 10 households have TV sets in use at the time of a Pretty Betty broadcast. (Round answers to four decimal places) Find the probability that none of the households are tuned to Pretty Betty. P(none) = Find the probability that at least one household is tuned to Pretty Betty. P(at least one) = Find the probability that at most one household is tuned to Pretty Betty. P(at most one) = If at most one household is tuned to Pretty Betty, does it appear that the 16% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Pretty Betty unusual?)

• no, it is not wrong
• yes, it is wrong

2) The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 50 and a standard deviation of 7. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 50 and 64? (Round percent number to 2 decimal places.) Do not enter the percent symbol. ans = %

3)The heights of adult men in America are normally distributed, with a mean of 69.6 inches and a standard deviation of 2.61 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.3 inches and a standard deviation of 2.59 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? z = b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? z = c) Who is relatively taller?

• The 6 foot 3 inch American man
• The 5 foot 11 inch American woman

4)Company XYZ know that replacement times for the DVD players it produces are normally distributed with a mean of 4.9 years and a standard deviation of 2.4 years. Find the probability that a randomly selected DVD player will have a replacement time less than -2.5 years? P(X < -2.5 years) = Enter your answer accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

5)Company XYZ know that replacement times for the DVD players it produces are normally distributed with a mean of 5.9 years and a standard deviation of 2.2 years. If the company wants to provide a warranty so that only 3.1% of the DVD players will be replaced before the warranty expires, what is the time length of the warranty? warranty = years Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.