Problem 4: Consider the Rayleigh distribution with parameters 0 and 01: 1 F(t) = 1 - exp(-0₁t-20₁t²) a) Find the hazard function (failure rate) for F. b) For what values of 0₁ does F have positive failure rate? Negative rate? Constant rate?

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Problem 4:
Consider the Rayleigh distribution with parameters 0 and 01:
1
F(t) = 1 - exp(-0₁t-20₁t²)
a) Find the hazard function (failure rate) for F.
b) For what values of 0₁ does F have positive failure rate? Negative rate? Constant
rate?
Transcribed Image Text:Problem 4: Consider the Rayleigh distribution with parameters 0 and 01: 1 F(t) = 1 - exp(-0₁t-20₁t²) a) Find the hazard function (failure rate) for F. b) For what values of 0₁ does F have positive failure rate? Negative rate? Constant rate?
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