The lifetime of a certain type of vacuum tube is modeled by, Basic Statistics

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The lifetime of a certain type of vacuum tube is modeled by

The lifetime of a certain type of vacuum tube is modeled by X ∼ Weibull(α = 2, β = 3). Compute the following:

a) E(X) and Var(X),

b) the median of X,

c) P(X ≤ E(X)),

d) P(1.5 ≤ X ≤ 6),

e) the probability that X is within 1 standard deviation of the mean.

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Basic Statistics: The lifetime of a certain type of vacuum tube is modeled by

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Basic Statistics: The lifetime of a certain type of vacuum tube is modeled by

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