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23 Dec 2012, 23:36
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
69% (01:34) correct
31%
(01:53)
wrong
based on 254
sessions
History
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Not Attempted Yet
A manufacturer is using glass as the surface for the multi-touch screen of its smartphone. The glass on the manufactured phone has a 5% probability of not passing quality control tests. The quality control manager bundles the smartphone in groups of 10. If that bundle has any smartphone that does not pass the quality control test, the entire bundle of 10 is rejected.
What is the probability that a smartphone bundle that will be rejected by quality control?
(A) 0.25
(B) .05^10
(C) 1-0.95^10
(D) 1-0.05^10
(E) 0.95^10
What is the probability that a smartphone bundle that will be rejected by quality control?
(A) 0.25
(B) .05^10
(C) 1-0.95^10
(D) 1-0.05^10
(E) 0.95^10
24 Dec 2012, 00:16
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fozzzy
A manufacturer is using glass as the surface for the multi-touch screen of its smartphone. The glass on the manufactured phone has a 5% probability of not passing quality control tests. The quality control manager bundles the smartphone in groups of 10. If that bundle has any smartphone that does not pass the quality control test, the entire bundle of 10 is rejected.
What is the probability that a smartphone bundle that will be rejected by quality control?
(A) 0.25
(B) .05^10
(C) 1-0.95^10
(D) 1-0.05^10
(E) 0.95^10
What is the probability that a smartphone bundle that will be rejected by quality control?
(A) 0.25
(B) .05^10
(C) 1-0.95^10
(D) 1-0.05^10
(E) 0.95^10
A bundle will be rejected by quality control if at least one phone do not pass the test.
Find the probability of the opposite event and subtract from 1.
The opposite event is that bundle will NOT be rejected by quality control, which will happen if all 10 phones pass the test, so P(all 10 phones pass test)=0.95^10.
P(at least one phone do not pass the test)=1- P(all 10 phones pass test)=1-0.95^10.
Answer: C.
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