Probability:

In order to choose a mascot for a new school, 2755 students were surveyed:896 chose a falcon,977 chose a ram, and 882 chose a panther. A student is chosen at random.

1. what is the pros ability that the student’s choice was a panther?

2. what is the probability that the student’s choice was NOT a ram?

3. what is the probability that the student’s choice was either a falcon of a ram?

thank you so much! show the work if you can? :)

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)?