there are three boxes on a table. The first box contains 3 white balls and 2 black balls. The second box contains 1 white ball and 1 black ball. The third box contains 2 white balls and 2 black balls. Without looking, you take one ball from the first box and put it into the second box. Then you take one ball from the second box and put it into the third box. Finally, you choose one ball from the third box. What is the probability that the last ball you choose it white? No decimal values.

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)?