1. A random variable is binomially distributed with n = 16 and = .40. The expec

1. A random variable is binomially distributed with n = 16 and = .40. The expected value and standard deviation of the variables are:A. 2.00 and 1.24 B. 4.80 and 4.00 C. 6.40 and 1.96 D. 2.00 and 1.202. If = 12 find the sample size to estimate the mean with an error of 4 and 95 percent confidence (rounded to the next higher integer).A. 75 B. 35 C. 58 D. 1133. The owner of Torpid Oaks B&B wanted to know the average distance its guests had traveled. A random sample of 16 guests showed a mean distance of 85 miles with a standard deviation of 32 miles. The 90 percent confidence interval (in miles) for the mean is approximately:A. (71.0 99.0) B. (71.8 98.2) C. (74.3 95.7) D. (68.7 103.2)