Exercise 4. Failure times (in years) for certain model of appliance follow a Gamma(2, 4) distribution. the failure time for the appliance you purchased, so X ~ Gamma(2,4). Let X (b) What is the expected lifetime of your appliance, in months? (d) Use a Gamma calculator to compute the exact value of P(]Y – E(Y)| > 70). (e) Compute the 90th percentile of [the distribution of] Y.

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Exercise 4. Failure times (in years) for certain model of appliance follow a Gamma(2,4) distribution. Let X be
the failure time for the appliance you purchased, so X ~ Gamma(2,4).
(b) What is the expected lifetime of your appliance, in months?
(d) Use a Gamma calculator to compute the exact value of P(|Y – E(Y)| > 70).
(e) Compute the 90th percentile of [the distribution of] Y.
(f) True or False:
24
~x²(4). Explain.
Transcribed Image Text:Exercise 4. Failure times (in years) for certain model of appliance follow a Gamma(2,4) distribution. Let X be the failure time for the appliance you purchased, so X ~ Gamma(2,4). (b) What is the expected lifetime of your appliance, in months? (d) Use a Gamma calculator to compute the exact value of P(|Y – E(Y)| > 70). (e) Compute the 90th percentile of [the distribution of] Y. (f) True or False: 24 ~x²(4). Explain.
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