The random variable x has a normal distribution with u = 200 and o = 20. a. Find the probability that x assumes a value more than two standard deviations from its mean. More than three standard deviations from u. b. Find the probability that x assumes a value within one standard deviation of its mean. Within two standard de- viations of u. c. Find the value of x that represents the 80th percentile of this distribution. The 10th percentile.

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The random variable x has a normal distribution with
u = 200 and o = 20.
a. Find the probability that x assumes a value more than
two standard deviations from its mean. More than three
standard deviations from u.
b. Find the probability that x assumes a value within one
standard deviation of its mean. Within two standard de-
viations of
c. Find the value of x that represents the 80th percentile of
this distribution. The 10th percentile.
Transcribed Image Text:The random variable x has a normal distribution with u = 200 and o = 20. a. Find the probability that x assumes a value more than two standard deviations from its mean. More than three standard deviations from u. b. Find the probability that x assumes a value within one standard deviation of its mean. Within two standard de- viations of c. Find the value of x that represents the 80th percentile of this distribution. The 10th percentile.
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