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 2 Fail Pass Fail 0.032 1 Pass Fail Fail 0.032 1 Fail Fail Fail 0.008 O a. 0.5120, 4 cameras b.0.6141, 4 cameras OC. NONE O d.0.6141, 3 cameras

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Chapter1: Combinatorial Analysis
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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
2
Fail
Pass
Fail
0.032
1
Pass
Fail
Fail
0.032
1
Fail
Fail
Fail
0.008
a. 0.5120, 4 cameras
b.0.6141, 4 cameras
OC. NONE
d. 0.6141, 3 cameras
Transcribed Image Text: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 2 Fail Pass Fail 0.032 1 Pass Fail Fail 0.032 1 Fail Fail Fail 0.008 a. 0.5120, 4 cameras b.0.6141, 4 cameras OC. NONE d. 0.6141, 3 cameras
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