A model for lifetimes, with a bathtub-shaped hazard rate, is the ex- ponential power distribution with survivai function S(x) = exp{1 exp((A.x)"]}. – (a) If a = 0.5, show that the hazard rate has a bathtub shape and find the time at which the hazard rate changes from decreasing to increasing. (b) If a = 2, show that the hazard rate of x is monotone increasing.

Q: If f(x)=5+2(x-1)^1/2, does f(x) satisfy all the conditions of the mean value theorem in the interval…

A:

Q: General Electric models the time X in years that a new microwave will last using the following PDF…

A: We have given that the following pdff(x)=

Q: The population P(t) of Freedonia in 2009 was P(2009) = 5 million.(a) What is the meaning of…

A: The derivative of a function determines an instaneneous change of any variable with respect to…

Q: If an arrow is shot upward on Mars with a speed of 66 m/s, its height in meters t seconds later is…

A: Avarge speed of the function

Q: The following table gives the distribution of gas bills (GB’s) of some households (hhs) in a city-…

A: Given data :

Q: The cost (in S) of producing x-units of certain commodity is: C(x)=500+7x+0.03x². Find the average…

A: In this question, we will find the average rate of change and instantaneous rate of change.

Q: For the period 1970-1991 for the United States the following two rival consumption models were…

A: a) The model with the lowest AIC value being considered the ‘best’. From the provided information,…