S MAX NAME A to MATH 146, SPRING 2022, EXAM 2 the 5. In the following probability distribution, the random variable X represents the ideal number of children to have in a family. (Round final answers to 1 decimal place in parts a. and b.) (me ) X P(X ) a. (3 pts) Compute and interpret the mean of the random variable X 0 0.011 1 0.033 2 0.578 3 0.278 b. (3 pts) Compute the standard deviation of the random variable X we 4 0.078 5 0.019 6 0.003 with c. (2 pts) What is the probability that a randomly selected individual thinks the ideal number of children is 4? d. (3 pts) What is the probability that a randomly selected individual thinks that ideally a family should have at least three children? e. (3 pts) Would it be unusual if a randomly selected individual thinks that the ideal number of children in a family is one? Why or why not