Question

Please explain your answer as well. THX!!!

Answer 1

Third Option

`P(x\geq 9) =0.212`

Explanation:

Note that the variable x is a discrete random variable that can be modeled using a binomial distribution. For a discrete random variable the probability that x is greater than a number b is:

`P(x\geq b) =\sum_(x=1)^(b){P(x)} = P(1) + P(2) + P(3) + ... + P(b)`

In this case we look for the probability of selecting 9 or more girls

This is:

`P(x\geq 9) =\sum_(x=9)^(14){P(x)} = P(9) + P(10) + P(11) +P(12)+ P(13) + P(14)`

Looking in the attached table we have to

`P(x\geq 9) =0.122 + 0.061 + 0.022 + 0.006+ 0.001 + 0`

`P(x\geq 9) =0.212`