# Question

The random variable X has probability density function as follows:

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.

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.

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