The weather in Rochester in December is fairly constant. Records indicate that the low temperature for each day of the month tend to have a uniform distribution over the interval 15∘ to 35∘F. A business man arrives on a randomly selected day in December.

(a) What is the probability that the temperature will be above 26^{\circ} ?

(b) What is the probability that the temperature will be between 18^{\circ} and 27^{\circ} ?

(c) What is the expected temperature?