Question

According to a recent​ survey, the probability that the driver in a fatal vehicle accident is female​ (event F) is 0.2805. The probability that the driver is 24 years old or less​ (event A) is 0.1759. The probability that the driver is female and is 24 years old or less is 0.0424. Answer parts​ (a) through​ (d) below.

(a) Find the probability of FUA. P (FUA)Round to four decimal places as needed.)

(b) Find the probability of F'UA. P(FUA) (Round to four decimal places as needed.)

(c) Find the probability of FnA'

Answer 1

Question d:

(D) Find the probability of F'nA'

Answer:

0.4140

0.7619

0.2381

0.9576

Step-by-step explanation:

Given that :

Female in fatal accident P(F) = 0.2805

Driver is 24 years or less P(A) = 0.1759

Driver is female and 24 years or less P(FnA) = 0.0424

A.) Find the probability of FUA.

P(FUA) = P(F) + P(A) - P(FnA)

= 0.2805 + 0.1759 - 0.0424

= 0.4140

(b) Find the probability of F'UA.

P(F'UA) = 1 - P(F) + P(FnA)

= 1 - 0.2805 + 0.0424

= 0.7619

C.) P(FnA') = 1 - P(F'UA)

= 1 - 0.7619

= 0.2381

(d) Find the probability of F'nA'

P(F'nA') = (FnA)' = 1 - (FnA)

= 1 - 0.0424

= 0.9576