Suppose that the battery life span (in hours) of a particular type of handheld e

Question

Suppose that the battery life span (in hours) of a particular type of handheld electronic game can be modeled by a Weibull distribution with alpha = 0.07 and beta = 0.5. a. What is the expected battery life span of the handheld game? b. What is the standard deviation of the battery life span of the handheld game? c. What is the probability that the battery life span of a randomly selected handheld game is between 150 and 300 hours? d. What is the reliability of the handheld game battery at 24 hours?

Explanation / Answer

  Weibull Distribution
p(x) = -x-1e-(x/)  [0, infinity)

Mean =   93850466092.37286

Variance =   5.198818562108945e+29

S.D. =   721028332460586.8

P(X1 < X < X2) = 0.01609

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