In a recent year, the percentage of frst-time California Bar Exam takers that passed the July exam was 68%, while the percentage of repeaters that passed was 22%. Defne x as a random variable representing the number of times a randomly selected individual will take the bar exam until he/she passes. Assume the percentages given here hold for every subsequent exam. Also assume that the individual selected is willing to make a maximum of seven attempts, if necessary, but if he/she fails on the seventh attempt, that’s it—it’s time to move on to another career.
a. Show the probability distribution for this random variable.
b. Show the bar chart for the distribution.
c. Compute the expected value of the random variable.