Suppose the birth weight of a full-term baby born in the United States follows a normal distribution with mean 7.5 pounds and standard deviation 0.5 pounds. Determine the

(a) probability that a full-term baby born in the United States weighs between 7 and 8 pounds.

(b) probability that a full-term baby born in the United States weighs more than 9 pounds.

(c) probability that a full-term baby born in the United States weighs less than 6.8 pounds.

(d) 5th percentile of the weights of full-term babies born in the United States.

(e) 95th percentile of the weights of full-term babies born in the United States.