Probability of failures

In certain productions, the probability of failures is 0.01. Calculate the probability that there will be more than 1 failure among the 100 selected products if we return the selected products to the file after the check.

Correct result:

p =  0.2642

Solution:

C0(100)=(1000)=100!0!(1000)!=11=1 C1(100)=(1001)=100!1!(1001)!=1001=100 q=0.01 n=100 p0=(n0) q0 (1q)n0=1 0.010 (10.01)10000.366 p1=(n1) q1 (1q)n1=100 0.011 (10.01)10010.3697  p=1(p0+p1)=1(0.366+0.3697)=0.2642



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