1.

Of all the articles in a box, 80% are satisfactory, while 20% are not. The probability of obtaining exactly five good items out of eight randomly selected articles is

Answer»

`0.003`
`0.013`
`0.132`
`0.147`

SOLUTION : Since the problem doesn't SAY how many ARTICLES are in the box, we must assume
that it is an unlimited number. The probability of picking 5 satisfactory items
(and THEREFORE 3 unsatisfactory ones) is`(8.0 )^(5) (0.2)^(3)`, and there are `8/5` way of doing this.
Therefore, the desired probability is `8/5(8.0)^(5) (0.2)^(3)= 0.147`


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