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Question -

In a box containing 100 bulbs, 10 are defective. The probability that outof a sample of 5 bulbs, none is defective is
A. 10–1
B. (1/2)5
C. (9/10)5
D. 9/10 



Answer -

C. (9/10)5

Explanation:

Let us assume Xrepresent the number of times selecting defected bulbs in a random sample ofgiven 5 bulbs

Also, the repeatedselection of defective bulbs from a box are the Bernoulli trials

Clearly, we have X hasthe binomial distribution where n = 5 and p = 1/10

And, q = 1 – p = 1 –1/10

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