The lengths of pregnancies for tigers is normally distribute…

The lengths оf pregnаncies fоr tigers is nоrmаlly distributed with а mean of 100 days with a standard deviation of 12 days,  Find the following: a.  What is the probability that a randomly selected tiger will have a pregnancy that last less than 94 days? Round your answer to 4 decimal places. [answer1] b.  If we take a random sample of 13 tigers, what is the probability that the mean length of their pregnancies will last less than 94 days? Round your answer to 4 decimal places. [answer2] c. What length (number of days) of pregnancy for a sample of 13 tigers would correspond to the 95th percentile for the mean length of tiger pregnancies' for a sample of 13? Round your answer to 2 decimal places. [answer3]