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A lot contains 50 defective and 50 non-d...

A lot contains 50 defective and 50 non-defective bulbs. Two bulbs are drawn at random one at a time with replacement. The events A, B and C are defined as the first bulb is defective, the second bulb is non-defective, the two bulbs are both defective or non-defective, respectively. Then,

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The correct Answer is:
`((n-1) ( 52 - n) (51- n))/(50 * 49 * 17* 13)`
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A lot contains 50 defective and 50 non-defectivebulbs. Two bulbs are drawn at random one at a time withreplacementevents A, and as first bul. The B C are defined theis defective, the second bulb is non-defective, the two banboth defective or non-defective, respectively. Then,(a) A, B and C are pairwise independent(b) A, B and C are pairwise not independent(c) A, B and C are independent(d) None of the above

A lot contains equal number of defective and non defective bulbs. Two bulbs ar drawn at random, one at a time, with replacement. The events A, B, C are defined as A : The first bulb is defective B : The second bulb is non defective C : Two bulbs are either both defective and non defective. Statement-1 : A, B, C are pairwise independent. Statement-2 : A, B, C are mutually independent.

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A box contains 13 bulbs out of which 5 are defective. 3 bulbs are randomly drawn, one by one without replacement, from the box. Find the probability distribution of the number of defective bulbs.

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From a lot of 15 bulbs which include 5 defectives, a sample of 2 bulbs is drawn at random (without replacement). Find the probability distribution of the number of defective bulbs.

In a box of electric bulbs, 12% are defective. If 176 bulbs are good, how many bulbs are there in the box?

(i) A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?(ii) Suppose the bulb drawn in (i) is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective ?

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