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%