The following data are collected to study unemployment in a particular region in upstate New York. The first column shows the number of months unemployed and the second column shows the count of people in the study with the corresponing unemployment length. Let X be a random variable indicating the number of months a person is unemployed. a)Use the data to develop the probability mass function for X. b)Find the cumulative distribution function for X. c)Calculate the mean and standard deviation of X. Months Unemployed Number Unemployed1 10292 16863 22694 26755 34876 46527 41458 35879 232510 1120