Let X be a random variable representing the lifespan (in years) of a certain type of electronic device. Suppose that X has the probability density function given below. \(f(x) = \begin{cases} 5x^4, & 0 \le x \le 1\\ 0, & \text{otherwise} \end{cases}\) Calculate the probability that the device will last more than 6 years given that it has already been in use for 3 years. [The answer should
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This can be calculated using the conditional probability formula: P(X > 6 | X > 3) = P(X > 6 and X > 3) / P(X > 3) Show more…
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