Suppose that the random variable X follows a binomial distribution with p = 0.70 and n = 8. Show work! Question 1: What is the probability that X = 2?...

Suppose that the random variable X follows a binomial distribution with p = 0.70 and n = 8.

Show work!

Question 1:   What is the probability that X = 2?

Question 2:   What is the probability that X = 4?

Question 3:   What is the probability that X = 7?

Question 4:   What is the probability that X < 7?

Question 5:   What is the probability that X ≥ 6?

Question 6:   What is the probability that 4 ≤ X ≤ 6?