Wednesday, February 5, 2014

Motivating the Binomial Distribution

Recall last class we were introduced to the Frozen Dye Snow Cone company.
They sell snow cones to people at local fairs and sporting events according
to the following probabilities for their four flavors.

Cherry       0.4
Grape        0.2
Blueberry 0.1
Orange      0.3

You may assume that customers choose flavors independently.

In-Class Activities:

1.  What is the probability that of the next two customers, both request grape?

2.  What is the probability that of the next two customers, exactly one requests grape?

3.  What is the probability that of the next three customers, only one requests grape?

4.  What is the probability that of the next three customers, exactly two request grape?

Now it gets tougher ...

5.  What is the probability that of the next 6 customers, exactly one wants grape?

6.  What is the probability that of the next 6 customers, exactly two want grape?

7.  What is the probability that of the next 6 customers, exactly x want grape?