According to a survey, high school girls average 100 text messages daily. Assume the population standard deviation is 20 text messages. Suppose a random sample of 50 high school girls is taken. a. What is the probability that the sample mean is more than 105? Note: Round your final answer to 4 decimal places. Probability b. What is the probability that the sample mean is less than 95? Note: Round your final answer to 4 decimal places. Probability c. What is the probability that the sample mean is between 95 and 105? Note: Round your final answer to 4 decimal places. Probability