A random variable is called a power law random variable ifP(X > t) = max{1/(t^α), 1}for some α. What is the density of X? Compute the mean of X when α > 1. What happens if α < 1?
A random variable is called a power law random variable if
P(X > t) = max{1/(t^α), 1}
for some α. What is the density of X? Compute the mean of X when α > 1. What happens if α < 1?
Expert Answer
Related Probability Q&A
Q: The legislature of Puerto rico consits of a 27 member senate and a 51 member house of representitive...
A: Given:(a)There are 27+51=78 members of the legislature.Now, we have find the number of ways to choos...
Q: 1.4.12 Let Q(x) be the statement “x+ 1 > 2x.” if the domain consists of all integers, what are th...
A: Given statement Q(x) "x+1 > 2x"Domain consists of all integers.∃xQ(x) means there exists a value...
Q: For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be od...
A: Concept of probability:Probability deals with the likelihood of occurrence of a given event. The pro...
Q: Inclusions are defects in poured metal caused by contaminants. The number of (large) inclusions in c...
A: Introduction to Poisson distribution:Poisson distribution is most suitable, when the events are “rar...
Q: In a sample of 1100 U.S. adults, 212 dine out at a restaurant more than once per week. Two U.S. adul...
A: Given, Total U.S adults = 1100 Adults who dine out at a restaurent more than once per ...
Q: A drawer contains 17 black socks, 17 white socks, 17 blue socks, and 17 brown socks. If the light is...
A: Let’s say that he has picked four socks. If he have already found a pair after two or three or four ...
Q: suppose that a shipment of 120 electronic components contains 4 defective components. to determine w...
A: In this question it has been given thatProbability that a selected electronic component is defective...
Q: Let Xi be iid Exp(λ) random variables.1. Let Mn = max1≤i≤n Xi. Compute the CDF FMn (x).2. Using the ...
A: 1.Introduction:Here, X1, X2,,…, Xn, are iid (independent and identically distributed) random variabl...
Q: Homework: Homework 8.5 - Probability Distribution; Expected Score: 0 of 1 pt 1 of 6 (0 complete) HW ...
A: Given:The total number of balls= 6 (white balls) + 2(blue balls)= 8 balls.Number of balls can be dra...
