The probability that an automobile being filled with

Answered question

2022-05-08

The probability that an automobile being filled with gasoline will also need an oil change is 0.25; the probability that it needs a new oil filter is 0.40; and the probability that both the oil and filter need changing is 0.14. (a) If the oil has to be changed, what is the probability that a new oil filter is needed? (b) If a new oil filter is needed, what is the probability that the oil has to be changed?

Answer & Explanation

karton

karton

Expert2022-08-01Added 613 answers

Let

probability of needing an oil be O

probability of needing an oil filter be F

P(O)=0.25

P(F)=0.40

P(OF)=0.14

a. P(FO)

P(FO)=P(OF)P(O)

=0.140.25=0.56

b. P(OF)

P(OF)=P(OF)P(F)

=0.140.4=0.35

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College

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?