A new battery supposedly with a charge of 1.5 volts

actually has a voltage with a uniform distribution between

1.43 and 1.60 volts.

(a) What is the expectation of the voltage?

(b) What is the standard deviation of the voltage?

(c) What is the cumulative distribution function of the

voltage?

(d) What is the probability that a battery has a voltage less

than 1.48 volts?

(e) If a box contains 50 batteries, what are the expectation

and variance of the number of batteries in the box with

a voltage less than 1.5 volts?