Solved: Consider the time to recharge the flash in

Chapter 3, Problem 117E

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QUESTION:

Consider the time to recharge the lash in cell-phone cameras as in Example 3-2. Assume that the probability that a camera passes the test is \(0.8\) and the cameras perform independently. What is the smallest sample size needed so that the probability of at least one camera failing is at least \(95 \%\)?

Equation Transcription:

Text Transcription:

0.8

95%

Questions & Answers

QUESTION:

Consider the time to recharge the lash in cell-phone cameras as in Example 3-2. Assume that the probability that a camera passes the test is \(0.8\) and the cameras perform independently. What is the smallest sample size needed so that the probability of at least one camera failing is at least \(95 \%\)?

Equation Transcription:

Text Transcription:

0.8

95%

ANSWER:

Step 1 of 3

The random variable X that equals the number of trials that result in a success is a binomial random variable with parameters  and n = 1, 2,…. The probability mass function of X is,

Where, x = 0,1,2,....,n.

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