In a lot (collection) of 100 light bulbs, there are 5 defective bulbs. an inspector inspects 10 bulbs selected at random. find t

Question

3 years ago

6

In a lot (collection) of 100 light bulbs, there are 5 defective bulbs. an inspector inspects 10 bulbs selected at random. find t

he probability of finding at least one defec- tive bulb. hint: first compute the probability of finding no defectives in the sample.

Mathematics

1 answer:

Vedmedyk [2.9K] · Answer 1 · 2022-09-02T00:05:21+03:00

Vedmedyk [2.9K]3 years ago

5 0

Probability of finding no defective bulb
=95/100*94/99....86/91
=95!/(85!) / (100!/90!)
= 110983/190120
=>
Probability of finding at least one defective bulb
=1-110983/190120
= 79137/190120
= 0.41625 (to 5 decimal places)