how to solve a,b,c,d,e??

The population of IQ scores in a community college has a mean of 110 with a standard deviation of 10. a. Find the probability that a random sample of size 36 selected from this population will have a sample mean IQ score greater than 112. Find the probability that a random sample of size 81 selected from this population will have a sample mean IQ score greater than 112. c. Find the probability that a random sample of size 100 selected from this population will have a sample mean IQ score greater than 112. d. What happens to the probability of this event as the sample size increases? e. If the sample size were increased to 1000, then would it be a likely event for the 1000 students to have a sample mean IQ greater than 112? Explain your