The cumulative distribution function F(x) of the random variable X is defined as 0.34 if x < 1, 1 if 1 ≤ x ≤ 2, and 1 if x > 2. The probability density function can be derived from the cumulative distribution function. The expectation of X can be computed using the probability density function.

1. A random variable X has cumulative distribution function F(x)=034(1x21)1ifx<1,ifx[1,2],ifx>2. 1.
Determine the probability density function of X. 2. Compute the expectation of X.