PROBLEM 3E

Let Y be b(192, p). We reject H0: p = 0.75 and acceptH1: p > 0.75 if and only if Y ≥ 152. Use the normal approximation to determine

(a) α = P(Y ≥ 152; p = 0.75).

(b) β = P(Y < 152) when p = 0.80.

Tuesday, February 14 th Chapter 6: Probability Distributions 6.1 Summarizing Possible Outcomes and Their Possibilities • Probability distribution : tells you all possible values and how their probabilities are distributed o Ex: 60% of people have brown eyes, 25% of people have blue eyes, and 15% of people have green eyes (percentages probably aren’t accurate) Probabilities of Possible Outcomes • Probability distribution of a discrete random variables assigns a probability to each