3. IQ tests are designed to be normally distributed with a mean of 100 and a standard deviation of 15. a. To join Mensa, a special organization for exceptionally bright individuals, you must have an IQ of at least 138. What percent of the population can join Mensa? b. Many Sociologists consider a child as "gifted" if their IQ is above 150. I. What percent of the population is considered to be gifted? 1i. If a particular school district contains 12,000 students, then how many of them would you expect to be labeled as being gifted? c. What is the probability that a group of 50 individuals has a mean IQ score less than 95? Would you consider this an odd event? Why or why not? d. To the nearest whole number, what is the minimum IQ for the top 1% of individuals? RM B