Question

Suppose that the pdf for X is f ( x ) = 3 8 x 2 , 0 ≤ x ≤ 2, f(x) = 0 otherwise. Suppose that Y is uniformly distributed on the interval from x to 2x for any given x.

Determine P(Y < 2)

Answer #1

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Suppose X and Y are jointed distributed random variables with
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= 0 elsewhere
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0< x < 2,
f(x) = 0,
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(d) Find the expected value of X.
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Suppose that a random variable X has the distribution (pdf) f(x)
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0 < x < 1 and zero elsewhere.
a. Find k.
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c. Find the mean of X.
d. Find the standard deviation of X.
2. Assume that test scores for all students on a statistics test
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a. Find the probability that a single student scores greater than
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