Question

Dont understand the practice example

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

can you up a problem similar to this example. Try to have at least 3 scenarios like this one; so i can understand it better thank you.

Answer 1

Let me try to explain this problem only with more details and it will help you to understand the same question.

This is binomial distribution with n=8 and p=0.5

a. Here we need to find P(x=5), So

b. Here we need to find

c.