Answer to Question #225077 in Statistics and Probability for Reyad

Question #225077

A lot consists of (6+55) articles, 3 with minor defects, and 3 with major defects. 55

articles are chosen at random from the lot without replacement. Compute the

probability by using basic probability concepts, both articles are good.


1
Expert's answer
2021-08-12T14:48:03-0400

Let X=X= the number of defective items in the sample.


P(X=0)=(60)(5555)(55+655)=155525372P(X=0)=\dfrac{\dbinom{6}{0}\dbinom{55}{55}}{\dbinom{55+6}{55}}=\dfrac{1}{55525372}

P(X=1)=(61)(5554)(55+655)=6(55)55525372=33055525372P(X=1)=\dfrac{\dbinom{6}{1}\dbinom{55}{54}}{\dbinom{55+6}{55}}=\dfrac{6(55)}{55525372}=\dfrac{330}{55525372}

P(X1)=P(X=0)+P(X=1)P(X\leq1)=P(X=0)+P(X=1)

=155525372+33055525372=33155525372=\dfrac{1}{55525372}+\dfrac{330}{55525372}=\dfrac{331}{55525372}




0.00000596\approx0.00000596




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Comments

Reyad
10.08.21, 20:56

please fast answer send me

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