Problem 3.According to a recent FCC survey, one in six cell phone users have experienced `bill shock' from unexpectedly high cell phone bills. (2...

1 if a randomly selected cell phone user has experienced 'bill shock' 0 otherwise Write down the probability distribution ofY .

b. (2 points) If you randomly select a sample of 5 cell phone users, what is the probability that only 1 cell phone user in the sample have experienced `bill shock'? (Please round your answers to 3 decimal places.)

c. (2 points) If you randomly select a sample of 5 cell phone users, what is the probability that at least 20% of cell phone users in the sample have experienced `bill shock'? (Please round your answers to 3 decimal places.) 6 STATS-250 Applied Statistics Fall 2017

d. (2 points) You randomly select a sample of 200 cell phone users. LetP¯ be the proportion of cellphone users who have experienced 'bill shock' in this sample. Is it appropriate to use the normal distribution approximation for the sample proportionP¯ ? Please explain.

e. (2 points) You randomly select a sample of 200 cell phone users. LetP¯ be the proportion of cellphone users who have experienced 'bill shock' in this sample. FindE(P¯) ands.e.(P¯), respectively. (Please round your answers to 3 decimal places.)

f. (2 points) If you randomly select a sample of 200 cell phone users, what is the probability that at least 20% of cell phone users in the sample have experienced `bill shock'?