3) Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted

The table below shows the soft drinks preferences of people in three age groups.

cola root beer lemon-lime

Under 21 years of age 40 25 20

between 21 and 40 35 20 30

over 40 years of age 20 30 35

If one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age given that they drink root beer.

4) Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. Answer the question using the table. Find the probability of selecting 9 or more girls?

Probabilities of Girls

x(girls) P(x) x(girls) P(x) x(girls) P(x)

0 0.000 5 0.122 10 0.061

1 0.001 6 0.183 11 0.022

2 0.006 7 0.210 12 0.006

3 0.022 8 0.183 13 0.001

4 0.061 9 0.122 14 0.000