If the distribution of the weights of all people traveling by air between Dallas and El Paso is normal with µ = 163 pounds, and s = 18 pounds, then (a) What’s the distribution of the sample mean of...

If the distribution of the weights of all people traveling by air between Dallas and El Paso is normal with µ = 163 pounds, and s = 18 pounds, then (a) What’s the distribution of the sample mean of the weight of 36 passengers? Be specific and provide the mean and variance. (b) What is the probability that the sample mean of the weight of 36 passengers exceeds 170 pounds?