Question:

Assume that a small bag of M&Ms contains 56 candies, and the probability that any one M&M is green is 1/6 or .17.

1. Find the probability that I will randomly select exactly 3 green M&Ms.
2. Find the probability that I will randomly select more than 3 green M&Ms.
3. Find the probability that I will randomly select less than 3 green M&Ms.

N:B

Solve the problem using binomial distribution similar to the example below;

Example post:

For this example, assume that a family has 8 children, and the probability that any one child is a boy is .5.

a) Find the probability that the family has exactly 5 boys.

b) Find the probability that the family has more than 5 boys.

c) Find the probability that the family has at most 5 boys.

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For your response posts, here is how to solve these problems in Excel.

a) Find the probability that the family has exactly 5 boys.

Type into an Excel cell

=binom.dist(5,8,.5,False)

You should get .21875

b) Find the probability that the family has at most 5 boys.

Type into an Excel cell

=binom.dist(5,8,.5,True)

.855469 should be your answer

c) Find the probability that the family has more than 5 boys.

Type into an Excel cell:

=1-binom.dist(5,8,.5,True)

.144531 should be your answer

Notice that this answer is just 1 minus the answer from part b. Then, describe what these results mean by summarizing the results.