Question

The probability of a student passes the drivers education written test is 0.62. The probability a student passes the driving part of the test is 0.86

A) Given the probability of a student passing of tests is 0.59, sketch a Venn diagram.
Use the diagram to help you justify with calculations.

P(written | driving) =

C) proportion of the students that failed both tests=

Thanks for any help!

Answer 1

(b)Not Independent

I. P(W)=0.62

II. P(W|D)=0.69

(c)0.11

Explanation:

(a)The Venn diagram is attached

(b)The two events (passing the driving and written tests) are not independent of one another.

I.P(W)=0.62

II. P(Written|Driving)

`P(W|D)=(P(W\cap D))/(P(D)) = (0.59)/(0.86)=0.69`

(c)Proportion of the Students that failed both tests

=1-(0.03+0.59+0.27)

=1-0.89

=0.11