The random variable x has a normal distribution with 300 and 30 a Find the probability that x assumes a value more than two standard deviations from its mean More than three standard deviations from b Find the probability that x assumes a value within one standard deviation of its mean Within two standard deviations of c Find the value of x that represents the 80th percentile of this distribution The 10 th percentile

Question: The random variable x has a normal distribution with = 300 and = 30. a. Find the probability that x assumes a value

The random variable x has a normal 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 The 10 th percentile.

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a P x 2 Px 2 P z 2 P z 2 5 4772 5 4772 2 5 4772 0456 from Table IV Appendix ... View full answer

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