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Consider a binomial experiment with 12 trials and p = 0.40. Define a random variable x to be the number of successes. (1) Compute the

Consider a binomial experiment with 12 trials and p = 0.40. Define a random variable x to

be the number of successes.

(1) Compute the probability of two successes.

(2) Compute the probability of nine failures.

(3) Find f(0)

(4) Find P(x 2)

(5) Find P(x < 3)

(6) Find P(6 < x 8)

(7) Find P(x 11)

(8) Find the mean, variance, and standard deviation of x

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