The Readylite Company produces a flashlight which is perfectly reliable except for two components: the battery,which has a random failure rate of one in every five hours of operation; and the light bulb,which has a random failure rate of three in every ten hours.What is the probability that the flashlight will perform reliably for one hour?
A)0.50
B)0.56
C)0.70
D)0.80
E)1.50

Question

Quizplus · Accepted Answer

The probability that the battery will not fail is 1 - (1/5) = 4/5 or 0.80. The probability that the light bulb will not fail is 1 - (3/10) = 7/10 or 0.70. To find the probability that both components will perform reliably for one hour, multiply their individual probabilities: 0.80 * 0.70 = 0.56.

The Readylite Company Produces a Flashlight Which Is Perfectly Reliable