[3](l} In the United States, WEE of the population have brown eyes {based on data from Dr. P. SoritaSoni at Indiana University}. Assume that 14 people are randomly selected: a} What is the distribution of the number of people 1who have brown eyes appropriate to consider the problem situation\"? Explain why you choose such a distribution. b} What is the mean and standard deviation for the number of browneyed people :in sueh groups of 14? e} What is the probability that a random sample of 14 people contains E that have brown eyes, provided that the rate is correct? d} If a random sample of 14 people was selected, it contained only 9 that have brown eyes. Is this result unusual? Does it seem that the claimed rate of 4% is incorrect? Explain