Statıstıcs I Deneme Sınavı Sorusu #821155
A shop selling mobile phones has purchased four new mobile phones of the same brand and model. It is known that a mobile phone of this brand and model works without any problem for at least 2 years with probability 0.95. What is the probability that all three mobile phones will work without any problem for at least 2 years?
|
0.95 |
|
0.90 |
|
0.85 |
|
0.80 |
|
0.75 |
Yanıt Açıklaması:
Here, it is natural to assume that a failure of a mobile phone is independent from a failure of another mobile phone. Therefore, if Ai(i=1,2,3,4) denotes the event that the i-th mobile phone will work without any problem for at least 2 years, then the probability is given by
P(A1+A2+A3+A4) = P(A1)P(A2)P(A3)P(A4) = (0.90).
The correct answer is B.
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