In a lot (collection) of 100 light bulbs, there are 5 defective bulbs. an inspector inspects 10 bulbs selected at random. find the probability of finding at least one defec - tive bulb. hint: first compute the probability of finding no defectives in the sample.

Question

Natalya Mckee

Mathematics

3 May, 23:30

In a lot (collection) of 100 light bulbs, there are 5 defective bulbs. an inspector inspects 10 bulbs selected at random. find the probability of finding at least one defec - tive bulb. hint: first compute the probability of finding no defectives in the sample.

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Chaim · Answer 1

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)