round your answer to 3 decimal points. A continuous random variable X has the following PDF: Osxs 2 f(x) 0 otherwise (a) Find the value

round your answer to 3 decimal points.

A continuous random variable X has the following PDF:
Osxs 2
f(x)
0
otherwise
(a) Find the value of k to make f(x) a legitimate probability density function.
={*{(x – 23]
(b) What is the probability that X is smaller than 1.3?
(c) Find the mean of X.
(d) Find the variance of X.
(e) What is the probability that X is within 0.3 of its mean?

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