A box contains 12 items of which 3 are defective. A sample of 3 items is selected from the box

A box contains 12 items of which 3 are defective. A sample of 3 items is selected from the box. Let X denotes the number of defective item in the sample. Find the probability distribution of X.

Expert Solution

Probability of being deefective=3/12=1/4=0.25

sample size,n=3

X=number of defective items in the sample

We can use binomial distribution for X,as probability of success is constant for each trial and trails are independent.

P(x=r)=3C_r*0.25^r*(1-0.25)^3-r

x	p(x)
0	0.4219
1	0.4219
2	0.1406
3	0.0156

orchestra answered 3 years ago

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