A lot of 200 chips contain 5 that are defective. 8 are selected random with out replacement.
-The probability at least two of selected parts is not defective?
-the probability that the third part is defective given that the first and two sample is defective?

Respuesta :

Answer:

1 , [tex]\frac{1}{66}[/tex]  (Answer)

Step-by-step explanation:

Since, 8 chips are selected at random and 5 are there defectives in the lot, So, at least (8 - 5) = 3 chosen chips will be non - defective.

So, P ( At least two of selected part is non defective ) = 1 .

P(first and second samples are defective)

= [tex]\frac{5 \times 4}{200 \times 199}[/tex]

P ( first, second and third samples are defective)

= [tex]\frac{5 \times 4 \times 3}{200 \times 199 \times 198}[/tex]

So,

[tex]\frac{{\textrm{Third sample is defective | first and second samples are defectives}}}[/tex]

=[tex]\frac{{\textrm{  P ( first, second and third samples are defective)}}}{{\textrm{  P(first and second samples are defective) }}}[/tex]

= [tex]\frac{3}{198}[/tex]

= [tex]\frac{1}{66}[/tex]  (Answer)                                                          

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