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The probability that a certain kind of c...

The probability that a certain kind of component will survive a given shock test is `3/4dot` Find the probability that among 5 components tested Exactly 2 will survive ii. At most 3 will survive

A

`(9)/(41)`

B

`(25)/(128)`

C

`(1)/(5)`

D

`(27)/(128)`

Text Solution

Verified by Experts

The correct Answer is:
D
Required probability `=""^(4)C_(2)((3)/(4))^(2)((1)/(4))^(2)`
`=6xx(9)/(16)xx(1)/(6)=(27)/(128)`
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