Solution Found!
Let Y1, Y2, . . . , Yn be independent, exponentially
Chapter 6, Problem 81E(choose chapter or problem)
QUESTION:
Problem 81E
Let Y1, Y2, . . . , Yn be independent, exponentially distributed random variables with mean β.
a Show that Y(1) = min(Y1, Y2, . . . , Yn ) has an exponential distribution, with mean β/n.
b If n = 5 and β = 2, find P(Y(1) ≤ 3.6).
Questions & Answers
QUESTION:
Problem 81E
Let Y1, Y2, . . . , Yn be independent, exponentially distributed random variables with mean β.
a Show that Y(1) = min(Y1, Y2, . . . , Yn ) has an exponential distribution, with mean β/n.
b If n = 5 and β = 2, find P(Y(1) ≤ 3.6).
ANSWER:
Step 1 of 3
a)
Density function of maximum:
Density function of minimum:
