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'

Question d:

(D) Find the probability of F'nA'

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

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