Question

By rewriting the formula for the multiplication​ rule, you can write a formula for findingconditional probabilities. The conditional probability of event B​ occurring, given that event A has​ occurred, isUpper 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 departed on time given that it arrives on time.The probability that an airplane flight departs on time is0.91.The probability that a flight arrives on time is0.86.The probability that a flight departs and arrives on time is0.84.

Answer 1

A, C, E

Explanation:

i just took the edge assignment

Answer 2

Explanation:

Let A be the event that Flight departs on time

B be the event that Flight arrive on time

Probability that an airplane flight departs on time
`P(A)= 0.91`

Probability that Flight arrives on time
`P(B)=0.86`

Probability that Flight departs and arrives on time
`P\left ( A\cap B\right )=0.84`

Probability that a flight departed on time given that it arrives on time
`=(P\left ( A\cap B\right ))/(P\left ( B\right ))`

`=(0.84)/(0.86)=0.97`