Let Y be a random variable. In a population, Y = 67 and 2 Y = 44. Use the central limit theorem to answer questions 33 & 34 (Note: any intermediate results should be rounded to four decimal places).

33. In a random sample of size n = 165, find P r(Y < 88). (a) 0.9582. (b) -0.4739. (c) 1.0000. (d) 1.6587.

34. In a random sample of size n = 124, find P r(90 < Y < 92). (a) 0.0000. (b) 0.0254. (c) 0.1256. (d) 1.3258