Question

Please explain your answer as well. THX!!!

Answer 1

Answer:

Third Option

$P(x\geq 9) =0.212$

Step-by-step 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

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

$P(x\geq 9) =0.212$