According to a survey, high school girls average 100 text messages daily (The Boston Globe, April 21, 2010). Assume the population standard deviation is 20 text messages. Suppose a random sample of 50 high school girls is taken.[You may find it useful to reference thez table.]

a.What is the probability that the sample mean is more than 105?(Round "z" value to 2 decimal places, and final answer to 4 decimal places.)

b.What is the probability that the sample mean is less than 95?(Round "z" value to 2 decimal places, and final answer to 4 decimal places.)

c.What is the probability that the sample mean is between 95 and 105?(Round "z" value to 2 decimal places, and final answer to 4 decimal places.)