Let X be a continuous uniform distribution where 1 < x < 4. Find the probability that X falls within two standard deviations of the me Use the normal probability rule to determine the probability that X falls

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3. Let X be a continuous uniform distribution where 1 < x < 4.
a. Find the probability that X falls within two standard deviations of the mean.
b. Use the normal probability rule to determine the probability that X falls within two standard deviations of the mean.
c. Use Chebyshev's inequality to determine the probability that X falls within two standard deviations of the mean.
d. Discuss why your three answers above are different.
Transcribed Image Text:3. Let X be a continuous uniform distribution where 1 < x < 4. a. Find the probability that X falls within two standard deviations of the mean. b. Use the normal probability rule to determine the probability that X falls within two standard deviations of the mean. c. Use Chebyshev's inequality to determine the probability that X falls within two standard deviations of the mean. d. Discuss why your three answers above are different.
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Given that the random variable X follows continuous uniform distribution within the interval 1 < x < 4.

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