Suppose a random variable (X) has a normal distribution with (mu=70) and (sigma=12). Using Minitab or the

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Suppose a random variable \(X\) has a normal distribution with \(\mu=70\) and \(\sigma=12\). Using Minitab or the standard normal table, find each of the following probabilities:

a. \(P(X<50)\)

b. \(P(X>70)\)

c. \(P(40

d. \(P(120

e. \(P(60

f. \(P(X<72.3)\)

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