Solution Found!
Suppose that Y has density function a Find the value of k
Chapter 4, Problem 8E(choose chapter or problem)
Suppose that Y has density function
\(f(y)=\left\{\begin{array}{ll} k y(1-y), & 0 \leq y \leq 1, \\ 0, & \text { elsewhere. } \end{array}\right.\)
a Find the value of k that makes f(y) a probability density function.
b Find \(P(.4 \leq Y \leq 1)\).
c Find \(P(.4 \leq Y<1)\).
d Find \(P(Y \leq .4 \mid Y \leq .8)\).
e Find \(P(Y<.4 \mid Y<.8)\).
Questions & Answers
(2 Reviews)
QUESTION:
Suppose that Y has density function
\(f(y)=\left\{\begin{array}{ll} k y(1-y), & 0 \leq y \leq 1, \\ 0, & \text { elsewhere. } \end{array}\right.\)
a Find the value of k that makes f(y) a probability density function.
b Find \(P(.4 \leq Y \leq 1)\).
c Find \(P(.4 \leq Y<1)\).
d Find \(P(Y \leq .4 \mid Y \leq .8)\).
e Find \(P(Y<.4 \mid Y<.8)\).
Step 1 of 6
Suppose that Y has a density function.
\(f(y)=\left\{\begin{array}{ll} k y(1-y), & 0 \leq y \leq 1, \\ 0, & \text { elsewhere. } \end{array}\right.\)
Reviews
Review this written solution for 31674) viewed: 281 isbn: 9780495110811 | Mathematical Statistics With Applications - 7 Edition - Chapter 4 - Problem 8e
Thank you for your recent purchase on StudySoup. We invite you to provide a review below, and help us create a better product.
No thanks, I don't want to help other students
Review this written solution for 31674) viewed: 281 isbn: 9780495110811 | Mathematical Statistics With Applications - 7 Edition - Chapter 4 - Problem 8e
Thank you for your recent purchase on StudySoup. We invite you to provide a review below, and help us create a better product.
No thanks, I don't want to help other students