1. What criteria are required when using the following distributions? Give a clear example of each.

• Uniform
• Binomial
• Hypergeometric

2. Forthe scenarios below,answer the following:

1. Is the situation Binomial or Hypergeometric?
2. Referring to your criteria, how do you know which it is?
3. Change the situation so that itcould be calculated using the other distribution.

Scenario 1:

A study reports that 5% of adults are afraid to be home alone at night. If 20 people are randomly selected, what is theprobability at least 3of them are afraid to be home alone at night?

Scenario 2:

You draw 5 cards from a standard deck of 52 cards. If X is a random variable that represents the number of hearts you get, what is the probability of 3 or more hearts?

Scenario 3:

Your manager at work is giving awaytickets for the local Lacrosse game. She has 10tickets:4 in the blue section and 6in the Green section. She gives you two at random. What is the probability that they are both in the blue section?

Scenario 4:

40% of the music you listen to is by a Canadian artist. If you listen to 10 songs, what is the probability that 5 of them are by Canadian artists?