Hypergeometric Distribution:

A candy dish contains 30 jelly beans and 20 gumdrops. Ten candies are picked at random. You can use the following website for theCombinations CalculatorLinks to an external site..

1. What is the probability that 5 of the 10 are gumdrops?
2. What is the probability that 7 of the 10 are gumdrops?
3. What is the probability that 3 of the 10 are jelly beans?
4. What is the probability that 6 of the 10 are jelly beans?

Binomial Distribution:

During the 2013 regular NBA season, DeAndre Jordan of the Los Angeles Clippers had the highest field goal completion rate in the league. DeAndre scored with 61.3% of his shots. Suppose you choose a random sample of 80 shots made by DeAndre during the 2013 season. LetX= the number of shots that scored points. You can use the following website for theBinomial CalculatorLinks to an external site..

1. Find the probability that DeAndre scored with 40 of these shots.
2. Find the probability that DeAndre scored with 55 of these shots.
3. Find the probability that DeAndre scored with 70 of these shots.
4. Using the formulas, calculate the (i) mean and (ii) standard deviation ofX.

Geometric Distribution:

There is an 80% chance that a Dalmatian dog has 13 black spots. You go to a dog show and count the spots on Dalmatians.

1. What is the probability that you will review the spots on 1 dog before you find one that has 13 black spots?
2. What is the probability that you will review the spots on 3 dogs before you find one that has 13 black spots?
3. What is the probability that you will review the spots on 6 dogs before you find one that has 13 black spots?
4. What is the probability that you will review the spots on 10 dogs before you find one that has 13 black spots?
5. Using the formulas, calculate the (i) mean and (ii) standard deviation of X.