A population of values has a normal distribution with μ=72.3 and σ=86.9. You intend to draw a random sample of size n=98. a. Find the probability that a sinqle randomly selected value is less than 59.1. P(X<59.1)= Round to 4 decimal places. b. Find the probability that the sample mean is less than 59.1. PX<59.1)= Round to 4 decimal places. A population of values has a normal distribution with μ=48.5 and σ=76.9. You intend to draw a random sample of size n=31. What is the mean of the distribution of sample means? μs​= What is the standard deviation of the distribution of sample means? σz​= Round to 4 decimal places. The lengths of pregnancies in a small rural village are normally distributed with a mean of 268.5 days and a standard deviation of 14.5 days. In what range would you expect to find the middle 68% of most pregnancies? Between and Enter your answers as numbers. Your answers should be accurate to 1 decimal places. Please note that this question is not asking you to use the Empirical Rule