A) An Olympic archer is able to hit the bull’s eye 80% of thetime. Assume each shot is independent of the others. She will shoot6 arrows. Let X denote the number of bull’s eyes she makes.
Find the mean of the probability distribution of X. Do notround
B) The GPA of students at a college has a mean of 2.9 and astandard deviation of 0.3. Scores are approximately normallydistributed.
Suppose that the top 6% of students are eligible for the HonorsProgram. Find the GPA which is the cutoff score for students toqualify for this program. Round to the nearest hundredth.