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 Pass Fail Pass 0.128 Fail Fail Pass 0.032 Pass Pass Fail 0.128 Fail Pass Fail 0.032 1 Pass Fail Fail 0.032 Fail Fail Fail 0.008 O a. 0.6141, 3 cameras O b. NONE O.0.5120, 4 cameras O d.0.6141, 4 cameras
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 Pass Fail Pass 0.128 Fail Fail Pass 0.032 Pass Pass Fail 0.128 Fail Pass Fail 0.032 1 Pass Fail Fail 0.032 Fail Fail Fail 0.008 O a. 0.6141, 3 cameras O b. NONE O.0.5120, 4 cameras O d.0.6141, 4 cameras
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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
Pass
Fail
Pass
0.128
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
O a. 0.6141, 3 cameras
O b. NONE
O. 0.5120, 4 cameras
O d.0.6141, 4 cameras
2.
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