Q. 205.0( 1 Vote )

# From a lot contai

Answer :

X represents the number of defective items drawn.

∴ X can take values 0,1,2 or 3

∵ there are total 25 items (20 good+5 defectives) items

n(S) = total possible ways of selecting 5 items =

P(X = 0) = P(selecting no defective item) =

P(X = 1) = P(selecting 1 defective item and 3 good items)

=

P(X = 2) = P(selecting 2 defective items and 2 good items)

=

P(X = 3) = P(selecting 3 defective items and 1 good item)

=

P(X = 4) = P(selecting 4 defective items and no good item)

=

Now we have p_{i} and x_{i.}

Following table represents probability distribution of X :

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