# Question

The random variable x has a normal distribution with μ = 300 and σ = 30.

a. Find the probability that x assumes a value more than two standard deviations from its mean. More than three standard deviations from μ.

b. Find the probability that x assumes a value within one standard deviation of its mean. Within two standard deviations of μ.

c. Find the value of x that represents the 80th percentile of this distribution. The 10 th percentile.

a. Find the probability that x assumes a value more than two standard deviations from its mean. More than three standard deviations from μ.

b. Find the probability that x assumes a value within one standard deviation of its mean. Within two standard deviations of μ.

c. Find the value of x that represents the 80th percentile of this distribution. The 10 th percentile.

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