If 80 % of flights depart on time, 70 % of fl | vedclass

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Question

(A) Let $A$ be the event that a flight departs on time and $B$ be the event that a flight arrives on time. Given probabilities are: $P(A) = 80 \% = 0.

Vedclass · Accepted Answer

$\frac{13}{16}$

Vedclass · Answer

(A) Let $A$ be the event that a flight departs on time and $B$ be the event that a flight arrives on time. Given probabilities are: $P(A) = 80 \% = 0.80$ $P(B) = 70 \% = 0.70$ $P(A \cap B) = 65 \% = 0.65$ We need to find the conditional probability that a flight arrives on time given that it has departed on time, which is $P(B|A)$. Using the formula for conditional probability: $P(B|A) = \frac{P(A \cap B)}{P(A)}$ Substituting the values: $P(B|A) = \frac{0.65}{0.80} = \frac{65}{80} = \frac{13}{16}$ Thus, the probability is $\frac{13}{16}$.

If $80 \%$ of flights depart on time, $70 \%$ of flights arrive on time and $65 \%$ of flights depart on time and arrive on time, then the probability that a flight that has just departed on time will arrive on time is

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