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A-D) Roughly 94% of Iphone batteries will last for at least one year. A-C) If tw

ID: 3069316 • Letter: A

Question

A-D) Roughly 94% of Iphone batteries will last for at least one year. A-C) If two Uphones are randomly selected. AJ What's the probability these phone's batteries will last at least one year? B). What's the probability that neither of these phone's batteries will last a one year? C) What's the probability that exactly one of the two phone's batteries will last a one year? D) f three lphones are randomly selected, what's the probability all three will have batteries that will last at least one year?

Explanation / Answer

p = battery will last for at least one year = 0.94

q = battery will not last for at least one year = 1 - p = 0.06

(A) P(Both batteries will last at least one year) = 0.942 = 0.8836

(B) P(Both batteries will not last at least one year) = 0.062 = 0.0036

(C) Exactly one will last = ( First battery last & Second battery will not last ) + (First battery will not last & Second battery will last) = (0.94 X 0.06) X 2 = 0.1128

(D) P(3 batteries will last) = 0.943 = 0.8306