1. Let Y have a continuous uniform distribution on the interval [8,8]. a. Find t

ID: 3329724 • Letter: 1

Question

1. Let Y have a continuous uniform distribution on the interval [8,8].

a. Find the value of Fy(5).

b. Find the value of Fy(-6).

c. Find P(Y > 5).

d. Find the value of a such that P(a < Y < a)=0.4

2. Let X have a continuous uniform distribution on the interval [3,7]. Round all answers to 4 decimal places.

a. Find the value of the pdf evaluated at x=6.5.

b. Find the value of the cdf evaluated at x=6.5.

c. Determine P(X < 3.2).

d. Find the value of a such that P(X > a)=0.65.

3. Let the random variable X represent the amount of time a student spends on homework during the week. Assume X~triangular(5,9,7.25).

a. What is the expected value of X?

b. What is the variance of X?

c. What is P(X 5.4)?

d. What is P(X 7.95)?

Y has a continuous uniform distribution on the interval [8,8].

a.F(y<5)= (5-(-8))/(8-(-8))=0.8125

b. F(y<-6)= (-6-(-8))/(8-(-8))=0.125

c. P(Y > 5)=1-P(y<5)=1-0.8125=0.1875

d. P(a < Y < a)=0.4 means (a-(-a))/(8-(-8))=0.4 or 2*a/16=0.4 or a=3.2

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.