Question: 5.79 The random variable X has probability density function as follows: a. Graph the probability density function for X. b. Show that the density has

5.79 The random variable X has probability density function as follows:

f(x)= x for 0 < x < 1 2 x for 1

a. Graph the probability density function for X.

b. Show that the density has the properties of a proper probability density function.

c. Find the probability that X takes a value between 0.5 and 1.5.

f(x)= x for 0 < x < 1 2 x for 1

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