According to a recent survey, the probability that the driver in a fatal vehicle accident is female (event F) is 0.2341. The probability that the driver is 24 years old or less (event A) is 0.1726 . The probability that the driver is female and is 24 years old or less is 0.0547 . Answer parts (a) through (d) below. (a) Find the probability of FUA. $P(F \cup A)=0.352$ (Round to four decimal places as needed.) (b) Find the probability of $F^{\prime} \cup A$. $P\left(F^{\prime} \cup A\right)=0.8206$ (Round to four decimal places as needed.) (c) Find the probability of $F \cap A^{\prime}$. $P\left(F \cap A^{\prime}\right)=0.1794$ (Round to four decimal places as needed.) (d) Find the probability of $F^{\prime} \cup A^{\prime}$. $P\left(F^{\prime} \cup A^{\prime}\right)=\square$ (Round to four decimal places as needed. $)$

Step 1 ：Given that the probability that the driver in a fatal vehicle accident is female (event F) is 0.2341, the probability that the driver is 24 years old or less (event A) is 0.1726, and the probability that the driver is female and is 24 years old or less is 0.0547.

Step 2 ：We are asked to find the probability of the event that the driver is not female or is not 24 years old or less. This can be calculated using the formula for the union of two events: \(P(A \cup B) = P(A) + P(B) - P(A \cap B)\). However, since we are dealing with the complement of the events, we need to first calculate the probabilities of the complement events.

Step 3 ：The probability of the complement of an event is 1 - the probability of the event. So, we need to calculate \(P(F')\) and \(P(A')\), and then use these values in the formula for the union of two events.

Step 4 ：Calculate \(P(F') = 1 - P(F) = 1 - 0.2341 = 0.7659\)

Step 5 ：Calculate \(P(A') = 1 - P(A) = 1 - 0.1726 = 0.8274\)

Step 6 ：Substitute these values into the formula for the union of two events: \(P(F' \cup A') = P(F') + P(A') - P(F' \cap A')\)

Step 7 ：Since \(P(F' \cap A')\) is not given, we can use the formula \(P(F' \cap A') = P(F') + P(A') - P(F' \cup A')\) to calculate it. Substitute the given values into the formula to get \(P(F' \cap A') = 0.7659 + 0.8274 - 0.8206 = 0.7727\)

Step 8 ：Finally, substitute these values into the formula for the union of two events to get \(P(F' \cup A') = 0.7659 + 0.8274 - 0.7727 = 0.8206\)

Step 9 ：Final Answer: The probability of the event that the driver is not female or is not 24 years old or less is approximately \(\boxed{0.8206}\)