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 Pass Fail Fail 0.032 Fail Fail Fail 0.008 a. 0.6141, 3 cameras O b.0.6141, 4 cameras

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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, 0.6141, 3 cameras
O b. 0.6141, 4 cameras
O. NONE
d. 0.5120, 4 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, 0.6141, 3 cameras O b. 0.6141, 4 cameras O. NONE d. 0.5120, 4 cameras
This exercise illustrates that poor quality can affect schedules and costs. A manufacturing
process has 100 customer orders to fill. Each order requires one component part that is purchased
from a supplier. However, typically, 2% of the components are identified as defective, and the
components can be assumed to be independent.
If the manufacturer stocks 100 components, what is the probability that the 100 customer orders
can be filled, and all will be non-defective?
O a. 1.268 x 10-170
O b. NONE
O. 0.1326
O d. 1.0000
Transcribed Image Text:This exercise illustrates that poor quality can affect schedules and costs. A manufacturing process has 100 customer orders to fill. Each order requires one component part that is purchased from a supplier. However, typically, 2% of the components are identified as defective, and the components can be assumed to be independent. If the manufacturer stocks 100 components, what is the probability that the 100 customer orders can be filled, and all will be non-defective? O a. 1.268 x 10-170 O b. NONE O. 0.1326 O d. 1.0000
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