X is a random variable with a probability density function given by : (see attachment) a) Determine the value of c to make this a valid probability

X is a random variable with a probability density function given by :

(see attachment)

a) Determine the value of c to make this a valid probability density function.

b) Write out the CDF for ????????(????).

c) What’s the probability X 5?

d) Find ????(???? = 2.3).

e) Find the probability that X is between 0.6 and 2.2.

f) Given X 2.5, what’s the probability that X 1.5?

g) Calculate expected value of X.