DRVs

Find the expected Value of the following DRV.

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

Suppose LeBron James has a free throw percentage of 80% and he shoots 10 free throws in the next game. Can use the binomial to model this?

• Yes

• No

Suppose LeBron James has a free throw percentage of 80% and he shoots 10 free throws in the next game. How could you most efficiently find P(X=7)?

• Binomial PMF with x=7, n=10, p=0.8

• Binomial CDF with x=7, n=10, p=0.8

• 1-Binomial CDF with x=7, n=10, p=0.8

• 1-Binomial CDF with x=6, n=10, p=0.8

Suppose LeBron James has a free throw percentage of 80% and he shoots 10 free throws in the next game. How could you most efficiently find P(X<=7)?

• Binomial PMF with x=7, n=10, p=0.8

• Binomial CDF with x=7, n=10, p=0.8

• 1-Binomial CDF with x=7, n=10, p=0.8

• 1-Binomial CDF with x=6, n=10, p=0.8

Tags

CCSS.HSS.CP.B.8

Suppose LeBron James has a free throw percentage of 80% and he shoots 10 free throws in the next game. How could you most efficiently find P(X>=7)?

• Binomial PMF with x=7, n=10, p=0.8

• Binomial CDF with x=7, n=10, p=0.8

• 1-Binomial CDF with x=7, n=10, p=0.8

• 1-Binomial CDF with x=6, n=10, p=0.8

Assume emails arrive in your inbox at a rate of 4 per hour and X is the # of emails you receive in an hour. What distribution could we use to model this?

• Binomial

• Poisson

Tags

CCSS.HSS.MD.A.3

Assume emails arrive in your inbox at a rate of 4 per hour and X is the # of emails you receive in an hour. How could most efficiently find P(X=3)

• Poisson PMF with x=3 & lambda=4

• Poisson PMF with x=4 & lambda=3

• Binomial PMF with x=3, n=4, p=0.75

• Poisson CDF with x=3, lambda =4

Assume emails arrive in your inbox at a rate of 4/hour and Y is the # of emails you receive in *2 hours*. How could most efficiently find P(Y=6)

• 2*Poisson PMF with x=3 & lambda=4

• Poisson PMF with x=6 & lambda=8

• Poisson PMF with x=3 & lambda=4