A random variable | Numerical analysis homework help

1. A random variable is binomially distributed with n = 16 and π = .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 1.20

2. If σ = 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. 113

3. 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)

(550 words)

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