All work must be shown for calculations to get full credit. 1. Given a distribution that has a mean of 40 and a standard deviation of 13, calculate the probability that a sample of 49 has a sample mean of... (a) greater than 37 (c) between 37 and 43 (b) at most 43 (d) no more than 35 2. All Clear Windows makes windows for use in homes and commercial buildings. The standards for glass thickness call for the glass to average 0.375 inches with standard deviation 0.050 inches. Let X represent the weight of 50 randomly selected windows. (a) Describe the shape, center, and standard deviation of the sampling distribution of X. (b) Sunnose a random sample of n - 50 windows vields a mean of 0 392 inches What is P( X > 0 392)2