Question: Historically, a final exam in a stat course is passed with a probability of 0.65. The exam is given to a group of 100 students.

Historically, a final exam in a stat course is passed with a probability of 0.65. The exam is given to a group of 100 students.

(a) (2 pts) What is the best distribution that represents this experiment? What are the mean and the standard distribution?

(b) (1 pt) Can this distribution be approximated by a normal distribution? Why?

(c) (2 pts) Find the probability that at least 70 students pass the final exam using normal approximation?

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