Consider the time to recharge the flash in cell-phone cameras. Assume that the probability that a camera passes the test is 0.85 and the cameras perform independently. Determine the following. Probability that the third camera that passed occurs on the third camera tested. Expected number of cameras tested to obtain 3 passed cameras. Let X be a negative binomial random variable. Camera 1 Camera 2 Camera 3 Probability Pass Pass Pass 0.512 3 Fail Pass Pass 0.128 2 Pass Fail Pass 0.128 2 Fail Fail Pass 0.032 1 Pass Pass Fail 0.128 Fail Pass Fail 0.032 1 Pass Fail Fail 0.032 1 Fail Fail Fail 0.008

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