Answer:
Third Option
[tex]P(x\geq 9) =0.212[/tex]
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:
[tex]P(x\geq b) =\sum_{x=1}^{b}{P(x)} = P(1) + P(2) + P(3) + ... + P(b)[/tex]
In this case we look for the probability of selecting 9 or more girls
This is:
[tex]P(x\geq 9) =\sum_{x=9}^{14}{P(x)} = P(9) + P(10) + P(11) +P(12)+ P(13) + P(14)[/tex]
Looking in the attached table we have to
[tex]P(x\geq 9) =0.122 + 0.061 + 0.022 + 0.006+ 0.001 + 0[/tex]
[tex]P(x\geq 9) =0.212[/tex]
