Probability of failures

In specific productions, the probability of failure is 0.01. Calculate the likelihood of more than one failure among the 100 selected products if we return the selected products to the file after the check.

Correct answer:

p =  0.2642

Step-by-step explanation:

C0(100)=(0100)=0!(1000)!100!=11=1 C1(100)=(1100)=1!(1001)!100!=1100=100 q=0.01 n=100 p0=(0n) q0 (1q)n0=1 0.010 (10.01)10000.366 p1=(1n) 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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