Question: Let the random variable X follow a normal distribution with = 80 and 2 = 100. a. Find the probability that X is greater

Let the random variable X follow a normal with μ = 80 and σ2 = 100.
a. Find the probability that X is greater than 60.
b. Find the probability that X is greater than 72 and less than 82.
c. Find the probability that X is less than 55.
d. The probability is 0.1 that X is greater than what number?
e. The probability is 0.6826 that X is in the symmetric interval about the mean between which two numbers?

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