An orange juice producer buys oranges from a large orange grove that has one variety of orange. The amount of juice squeezed from these oranges is approximately normallydistributed, with a mean of 4.30 ounces and a standard deviation of 0.48 ounce. Suppose that you select a sample of 36 oranges.

a. What is the probability that the sample mean amount of juice will be at least 4.15 ounces?

b. The probability is 78% that the sample mean amount of juice will be contained between what two values symmetrically distributed around the populationmean?

c. The probability is 79% that the sample mean amount of juice will be greater than whatvalue?

a. The probability is

.

(Round to three decimal places asneeded.)