Which of the following statements is true of a probability mass function but not a probability density function? A. The function takes on only non-negative values.
B. The probability that a random variable X is equal to a specific value x can be greater than zero.
C. The function sums to (or integrates to) one over its domain.
D. The probability that a random variable X is between a and b is the area under the function between a and b.

Abottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. the water bottling company’s specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. a random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.995 gallon a. construct a 99% confidence interval estimate for the popula-tion mean amount of water included in a 1-gallon bottle. b. on the basis of these results, do you think that the distributor has a right to complain to the water bottling company? why? c. must you assume that the population amount of water per bottle is normally distributed here? explain. d. construct a 95% confidence interval estimate. how does this change your answer to (b)?