Name: Calculator Homework #4 Probabilities for Discrete Random Variables Exercise 1: A child psychologist is interested in the number of times a newborn baby's crying wakes its mother after midnight. For a random sample of 50 mothers, the following information was obtained. Let X = the number of times per week a newborn baby's crying wakes its mother after midnight. P(X) a) Calculate the probabilities for each outcome in the distribution b) Find the probability that a newborn wakes its mother crying after midnight is at least 3 times per week. c) Find the mean number oftimes per week that a newborn wakes its mother after midnight. d) Find the standard deviation for the number of times per week that a newborn wakes its mother after midnight. Exercise 2: Forty-three percent of adults say they get their financial advice from family members. You randomly select 14 adults and ask them if they got their financial advice from family members. Assume that the random variable, X = the number of adults that receive financial advice from family members, is binomial. Find the probability that the number who say they got their financial advice from family members is: a) Exactly five b) At least six c) At most three d) What is the mean number of adults that receive their financial advice from family members? e) What is the standard deviation of the number of adults that receive financial advice from family members