2.14 In a population, μ_Y = 100 and σ_Y^2 = 43. Use the central limit theorem to answer the following questions:
a. In a random sample of size n = 100, find Pr(ဵ ≤ 101).
b. In a random sample of size n = 165, find Pr(ဵ > 98).
c. In a random sample of size n = 64, find Pr(101 ≤ ဵ ≤ 103).