Question

An educational consulting firm is trying to decide whether high school students who have never used a handheld calculator can solve a certain type of problem more easily with a calculator that uses reverse Polish logic or one that does not use this logic. A sample of 25 students is selected and allowed to practice on both calculators. Then each student is asked to work one problem on the reverse Polish calculator and a similar problem on the other. Let p = P(S), where S indicates that a student worked the problem more quickly using reverse Polish logic than without, and let X = number of S’s.

Answer 1

A)If p = 0.5, what is P(7 ≤ X ≤ 18)? B) If the claim that p = 0.5 is to be rejected when either x ≤ 7 or x ≥ 18, what is the probability that the claim is not rejected when p = 0.6?