Define the random variable X = number of times you chose a "Jack" n! X! (n - X)! Xn*x (1 - 7)"-x a. What are the possible values for X? b. The probability of exactly X successes in n trials for a Bernoulli process is shown above. What is the value of n in this experiment? c. The probability of exactly X successes in n trials for a Bernoulli process is shown above. What is the value of 7 in this experiment? (Leave it as a fraction.) d. The probability of exactly X successes in n trials for a Bernoulli process is shown above. What is the value of (1 - 7r) in this experiment? (Leave it as a fraction.) e. Using your responses in parts b-d, write out the equation to figure out the probability of exactly 5 successes in this experiment. YOU DO NOT HAVE TO ACTUALLY COMPUTE THE ANSWER. f. Think about the extremes. Will P(X = 0) be greater or less than P(X=8)? Simply type "greater" or "less" for your response