The shelf life in hours of a product is a random variable T that has CDF function F(t) = 1-e-0.2t, t≥ 0. Calculate the mean shelf life (in hours) of this product. 1 X Calculate the standard deviation of the shelf life (in hours). 2 X

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The shelf life in hours of a product is a random variable T
that has CDF function F(t) = 1-e-0.2t, t≥ 0.
Calculate the mean shelf life (in hours) of this product.
1
X
Calculate the standard deviation of the shelf life (in hours).
2
X
Transcribed Image Text:The shelf life in hours of a product is a random variable T that has CDF function F(t) = 1-e-0.2t, t≥ 0. Calculate the mean shelf life (in hours) of this product. 1 X Calculate the standard deviation of the shelf life (in hours). 2 X
Expert Solution
Step 1: Introduce the given information

9) Given CDF of T is,

F(t) = 1 - e-0.2tt greater or equal than 0

Using formula,

P D F comma space f left parenthesis x right parenthesis equals fraction numerator d over denominator d x end fraction F left parenthesis x right parenthesis space semicolon space F left parenthesis x right parenthesis space equals space C D F

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