5.21 Let the random variable X follow a normal distribution with m = 0.2 and s2 =...

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5.21 Let the random variable X follow a normal distribution with m = 0.2 and s2 = 0.0025.

a. Find the probability that X is greater than 0.4.

b. Find the probability that X is greater than 0.15 and less than 0.28.

c. Find the probability that X is less than 0.10.

d. The probability is 0.2 that X is greater than what number?

e. The probability is 0.05 that X is in the symmetric interval about the mean between which two numbers?

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