For a certain airline, there is a 75% probability that a given flight

erurnSopSoypegx

erurnSopSoypegx

Answered question

2021-11-19

For a certain airline, there is a 75% probability that a given flight will depart on-time, an 80% probability of an on-time arrival, and a 60% probability of both an on-time departure and arrival.
What is the probability that this flight will either depart on-time or arrive on-time?
Is on-time arrival independent of on-time departure?

Answer & Explanation

Provere

Provere

Beginner2021-11-20Added 18 answers

Step 1
Given:
- The probability of depart on time is, P(D)=75%=0.75.
- The probability of an on-time arrival is, P(A)=80%=0.80.
- The probability of both an on-time departure and arrival is, P(DA)=0.6.
The objective is,
a. To find the probability that this flight will either depart on-time or arrive on-time.
b. To define whether on-time arrival is independent of on-time departure.
Step 2
a) The probability that this flight will either depart on-time or arrive on-time can be calculated by,
P(DA)=P(D)+P(A)P(DA)
P(DA)=0.75+0.80.6
P(DA)=0.95
Hence, the probability that this flight will either depart on-time or arrive on-time is 0.95.
b) No, on-time arrival is not independent of on-time departure. Since, both the given events of on-time departure and on-time arrival represents the same flight. So departing late will affect the arrival time of the flight.
Hence, they are dependent events.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school probability

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?