Question

In proof testing of circuit boards, the probability that any particular diode will fail is 0.01. Suppose a circuit board contains 200 diodes.

(a) How many diodes would you expect to fail?

What is the standard deviation of the number that are expected to
fail? (Round your answer to three decimal places.)

(b) What is the (approximate) probability that at least four diodes
will fail on a randomly selected board? (Round your answer to three
decimal places.)

Answer #1

The following information has been provided about the population proportiona and the sample size:

Population Proportion = | 0.01 |

Sample Size = | 200 |

Based on the information provided, the population men of sample proportions and the corresponding standard error are:

We need to compute

Now, the following is obtained using normal approximation:

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