1. Assume that IQs are normally distributed with a mean of 120 and standard deviation of 20. For a randomly selected adult, find the probability that the person selected has an IQ score less than 100.( 2 points) 2. Find the 75TH percentile for IQs.(2 points) Given the population of three children ages: 3, 4, and 5 a) Write the distribution of all samples means of size 2( 3 Points) b) Show that the mean of all sample means is equal to the population mean.(2 points) 4) If SAT scores are normally distributed with a mean of 500 and standard deviation of 100, what minimum score is needed to ensure that you are in the top 10%