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Parts A-C: A)Let X be the number of successes in five independent trials of a binomial...

Parts A-C:

A)Let X be the number of successes in five independent trials of a binomial experiment in which the probability of success is

p = 3/5

Find the following probabilities. (Round your answers to four decimal places.).

(1)    P(X = 4) _________

(2)    P(2 ≤ X ≤ 4)_________

B) Suppose X is a normal random variable with μ = 500 and σ = 72. Find the values of the following probabilities. (Round your answers to four decimal places.)

(1)    P(X < 750)___________


(2)    P(X > 350)_____________


(3)    P(250 < X < 600)__________

C) Suppose X is a normal random variable with μ = 310 and σ = 20. Find the values of the following probabilities. (Round your answers to four decimal places.)

(1)    P(X < 357)_________


(2)    P(330 < X < 368)__________


(3)    P(X > 330)_____________

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