The Total solution for NCERT class 6-12
In a box containing 100 bulbs, 10 are defective. The probability that outof a sample of 5 bulbs, none is defective isA. 10тАУ1B.┬а(1/2)5C. (9/10)5D. 9/10┬а
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┬аp = 1/10
And, q = 1 тАУ p = 1 тАУ1/10