Use the following information to answer the next two exercises. The percent of licensed U.S. drivers (from a recent year) that are female is $48.60$. Of the females, $5.03\%$are age 19 and under; $81.36\%$are age $20-64;13.61\%$are age $65$or over. Of the licensed U.S. male drivers, $5.04\%$are age $19$and under;$81.43\%$are age $20-64;13.53\%$are age $65$or over.

Complete the following.

a. Construct a table or a tree diagram of the situation.

b. Find $\mathrm{P}$(driver is female).

c. Find $\mathrm{P}$(driver is age$65$or over|driver is female).

d. Find$\mathrm{P}$(driver is age$65$or over AND female).

e. In words, explain the difference between the probabilities in part $\mathrm{c}$and part$\mathrm{d}$.

f. Find $\mathrm{P}$(driver is age$65$or over).

g. Are being age $65$or over and being female mutually exclusive events? How do you know?

Step by step solution

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