Question

By rewriting the formula for the Multiplication​ Rule, you can write a formula for finding

conditional probabilities. The conditional probability of event B​ occurring, given that event A has​ occurred, is

Upper P left parenthesis Upper B vertical line Upper A right parenthesis equals StartFraction Upper P left parenthesis Upper A and Upper B right parenthesis Over Upper P left parenthesis Upper A right parenthesis EndFractionP(B A)=P(A and B)P(A).

Use the information below to find the probability that a flight arrives on time given that it departed on time.The probability that an airplane flight departs on time is

0.89

The probability that a flight arrives on time is

0.87

The probability that a flight departs and arrives on time is

0.84

The probability that a flight arrives on time given that it departed on time is

nothing.

​(Round to the nearest thousandth as​ needed.)

Answer 1

P(Arrive on time | Depart on time) = P( Arrive on time AND Depart on time ) / P(Depart on time )

= 0.84 / 0.89

= 0.944