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ICs are packaged in boxes of 10. The probability of an IC being faulty is 2%. What is the
probability of a box containing 2 faulty ics?
Solution
Given X~Binomial(n=10, p=0.02) P(X=x)=xC10*(0.02^x)*(0.98^(10-x)) So the
probability is P(X=2)=2C10*(0.02^2)*(0.98^(10-2)) =(10*9/2)*(0.02^2)*(0.98^(10-2))
=0.01531373

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ICs are packaged in boxes of 10. The probability of an IC being faul.pdf

  • 1. ICs are packaged in boxes of 10. The probability of an IC being faulty is 2%. What is the probability of a box containing 2 faulty ics? Solution Given X~Binomial(n=10, p=0.02) P(X=x)=xC10*(0.02^x)*(0.98^(10-x)) So the probability is P(X=2)=2C10*(0.02^2)*(0.98^(10-2)) =(10*9/2)*(0.02^2)*(0.98^(10-2)) =0.01531373