In a university examination, which was indeed very tough, 50\% a

yapafw

yapafw

Answered question

2021-11-17

In a university examination, which was indeed very tough, 50% at jeast failed in "Statistics",75% at least in Topology, 82% at least in "Functional Analysis" and 96% at least in "Applied Mathematics". How many at least failed in all the four? (Ans.3%)

Answer & Explanation

Warajected53

Warajected53

Beginner2021-11-18Added 12 answers

Given
P(failed in Statistics) =0.50
P(failed in Topology) =0.75
P(failed in Functional Analysis) =0.82
P(failed in Applied Maths) =0.96
To find:
How many failed in at least all four
A, B, C and D are said to be independent when : P(ABCD)=P(B)×P(C)×P(D)
The probability of failing in at least all four is given by:
P(failed in Statistics failed in Topology failed in Functional Analysis failed in Applied Maths)
= P(failed in Statistics) × P(failed in Topo log y) X P(failed in Functional Analysis) × P(failed in Applied Maths)
[independent events]
=0.50×0.75×0.82×0.96
=0. 2952
=0.3
Therefore, 3% of them at least failed in all the four.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Multivariable calculus

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?