Let the random variable X represent a student’s score on an IQtest. Suppose that student IQ scores are Normally distributed witha mean of 100 and a standard deviation of 15.
Part A.Any student who scores at least 130 on an IQ test wouldbe considered gifted. If a student has scored 130 on an IQ test,what percentile does this score represent? Part B.In a class of 50students, how many would you expect to score at least 115 on an IQtest?
Part C.Suppose that 10 students are randomly selected from alarge school. What is the chance that at least 3 of them will havean IQ score greater than 125 (use binomial PMF)