ESSAY: Binomial

Review the criteria for a binomial in the announcements before selecting your problem.

Example

a) On this example we will examine the probability a couple who has 8 children and has exactly 5 boys.

b) Next we will look at the probability that they have more than 5 boys.

c) Finally we will look at the probability that they have at most 5 boys.

Assume a .5 chance of having a boy.

Solution can be solved using excel.

a) On this example we will examine the probability a couple who has 8 children has exactly 5 boys.

Type this in an excel cell

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

and then hit enter

.21875 would be the answer

b) Next we will look at the probability that they have more than 5 boys.

Type this in an excel cell

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

and then hit enter

.144531 would be the answer

c) Finally we will look at the probability that they have at most 5 boys.

Assume a .5 chance of having a boy.

Type this in an excel cell

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

and hit enter

.855469 would be the answer

Instructions:
•For your post you will make up a problem similar to this example. Try to have at least 3 scenarios. You will not solve your own problem.
•Then you will answer 2 classmates problems. Copy the question, type the excel formulas in an excel spreadsheet and attach it to your post so your professor and classmates can check your work. Then write a brief summary after the problem you copied in your post.

ANSWER

Binomial

Scenario One

A football team has 11 red and blue balls, find the probability;

1. That the team has exactly 6 red balls
2. That the team has more than 6 red balls
3. That the team has at most 6 red balls

Scenario Two

In a class test only ten percent students can pass. If a team of 4 students completed the test, find the probability;

1. That at most one student will pass
2. That more than one student will pass
3. That exactly one student will pass

Scenario Three

In a downtown restaurant, thirty percent of customers order for Italian food and seventy percent Chinese food. A group of three customers enter the restaurant. Find the probability;

1. That at least two of them will order for Chinese food
2. That exactly two of them will order for Italian food
3. That at most two will order for Italian food