Theirs another part for this question that doesn't fit so I will just take another picture

Problem 2. (P.5) The online proctoring software "Spywario-Lock" has a 20% chance of incorrectly identifying cheating and locking a student out of their exam (due to background noise, a family memb member walking through the room, or some other perfectly normal thing that happens when students are taking tests in their homes) until intervention by a professor. A professor, knowing this, decides to use the "Spywario-Lock" software for their class of 35 students anyways. We will let X be the random variable representing the number of students that were incorrectly locked out of their exam (out of the 35 students). (a) Explain why the random variable X is a binomial random variable. Be specific and detailed. (b) Report the expected value of X (the mean of the binomial distribution) and the standard deviation of the binomial distribution. What do these num- bers mean in the context of the online test? (c) Report P(X = 0). Explain what this probability represents in the context of the exam