Question:Binomial

Need help understanding. I didnt understand the last one another tutor submit to me. thank you

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.

put 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.

put 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.

put thisin an excel cell

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

and hit enter

.855469 would be the answer

Solve:

I have a litter of 15 lab puppies. Some of those lab puppiesare black.

1) What is the probability that there are exactly3black lab puppies?

2) What is the probability that there is more than 6back lab puppies?

3) What is the probability that there is at most 8 black lab puppies?

Assume there is a .5 chance of the puppies being black labs.