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,