Hey may i know why fT(t) is 2/5 from question3.a) ?

3. The temperature T in a restaurant is maintained within the range 195C to 22C. The digital ther mometer on the control panel of the plant shows the value of T rounded to the nearest integer. Assuming that T is uniformly (continuously) distributed in the indicated range, (a) write down and plot the probability density function and distribution function of T, (b) write down and plot the probability mass function and distribution function of the thermometer reading U, and (c) write down the expected value and variance of T and U. Comment on your answers. Solution: (a) 2/5 if t e [19.5, 22] fr\") = ' 0 otherw1se, 0 if t