Question

if the probability that your dvd player breaks down before the extended warranty expires is 0.089, what is the probability that the player will not break down before the warranty expires?
the probability that the player will not break down before the warranty expires is
(simplify your answer. type an integer or a decimal.)

Explanation:

Step1: Use the complementary probability formula

The probability of an event \(A\) and its complement \(\overline{A}\) satisfy \(P(A)+P(\overline{A}) = 1\). Let \(A\) be the event that the DVD player breaks down before the extended - warranty expires, and \(\overline{A}\) be the event that the DVD player does not break down before the extended - warranty expires. We know that \(P(A)=0.089\).

Step2: Calculate \(P(\overline{A})\)

Using the formula \(P(\overline{A})=1 - P(A)\), we substitute \(P(A) = 0.089\) into the formula. So \(P(\overline{A})=1-0.089\).

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Answer:

\(0.911\)