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 P (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.
1. The probability that an airplane flight departs on time is 0.91.
2. The probability that a flight arrives on time is 0.86.
3. The probability that a flight departs and arrives on time is 0.81.

89.01% probability that a flight arrives on time given that it departed on time.

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

In which

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Departing on time

Event B: Arriving on time.

The probability that a flight departs and arrives on time is 0.81.

This means that

The probability that an airplane flight departs on time is 0.91.

This means that

Find the probability that a flight arrives on time given that it departed on time.

89.01% probability that a flight arrives on time given that it departed on time.

3x3 = 9 and 2x2 = 4

step-by-step explanation:

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !