Question: Problem #4: Consider a process for making nickel battery plates that has an operator who successfully meets the weight specification 40% of the time. Let \(Y\) be the number of plates she makes until she is successful.

(a) Find the probability that she requires 4 attempts to make her first successful plate.

(b) Generate the graph of the probability mass function for the number of attempts until her first successful attempt.

(c) Find the probability that she requires more than 1 attempt to make her first successful plate.

(d) Find the probability that she requires 10 attempts to make her third successful plate.