# Question

A transistor radio operates on two 1 ½ volt batteries, so that nominally it operates on 3 volts. Suppose the actual voltage of a single new battery is normally distributed with mean 1 ½ volts and variance 0.0625. The radio will not operate “properly” at the outset if the voltage falls outside the range 23 4 to 31 4 volts.

(a) What is the probability that the radio will not operate “properly”?

(b) Suppose that the assumption of normality is not valid. Give a bound on the probability that the radio will not operate “properly.”

(a) What is the probability that the radio will not operate “properly”?

(b) Suppose that the assumption of normality is not valid. Give a bound on the probability that the radio will not operate “properly.”

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