Question

A random variable x is known to be uniformly distributed between 3 and 9. Show the...

A random variable x is known to be uniformly distributed between 3 and 9.

Show the graph of the probability distribution.

Compute the probability that 1? x ? 6. Show it on the graph of the probability distribution you draw in (a).

What is the mean of the probability distribution?

What is the standard deviation of the probability distribution?

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A random variable x is known to be uniformly distributed between 3 and 9.

Show the graph of the probability distribution.

Compute the probability that 1? x ? 6. Show it on the graph of the probability distribution you draw in (a).

P=0.5

What is the mean of the probability distribution?

Expectation = (3 + 9)/2 = 6

What is the standard deviation of the probability distribution?

Expectation = (3 + 9)/2 = 6

Variance = (9 - 3)2/12 = 3

Standard deviation = 1.7321

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