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# Five defective bulbs are accidently mixed with 20 good ones. It is not possible to just look at a bulb and tell whether or not it is defective. Find the probability distribution from this lot.

Given : Five defective bulbs are accidently mixed with 20 good ones.

To find : probability distribution from this lot

Formula used :

Five defective bulbs are accidently mixed with 20 good ones.

Total number of bulbs = 25

X denote the number of defective bulbs drawn

X can draw the value 0 , 1 , 2 , 3 , 4.

since the number of bulbs drawn is 4, n = 4

P(0) = P(getting a no defective bulb) = = =

P(1) = P(getting 1 defective bulb and 3 good ones) = =

P(1) = =

P(2) = P(getting 2 defective bulbs and 2 good one) =

P(2) = = =

P(3) = P(getting 3 defective bulbs and 1 good one) =

P(3) = =

P(4) = P(getting all defective bulbs) = = =

P(4) =

The probability distribution table is as follows,

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