Family planning. a couple wants to have three children. assume that the probabilities of a newborn being male or being female are the same and that the gender of one child does not influence the gender of another child.

there are eight possible arrangements of girls and boys. what is the sample space for having three children (gender of the first, second, and third child)? all eight arrangements are (approximately) equally likely.
the future parents are wondering how many boys they might get if they have three children. give a probability model (sample space and probabilities of outcomes) for the number of boys.

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)?