SOLUTION: c. The manufacturer of the disk drives in one of the well-known brands of microcomputers expects 4% of the disk drives to malfunction during the microcomputer’s warranty period

Question 1157921: c. The manufacturer of the disk drives in one of the well-known brands of microcomputers expects 4% of the disk drives to malfunction during the microcomputer’s warranty period. Calculate the probability that in a sample of 200 disk drives, that not more than three will malfunction. Assume Poisson distribution.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Poisson has a parameter of 0.04
for 200, would expect a parameter of 8, since the errors are proportional to the sample size.
with a parameter 8, want prob. of 0,1,2,3
this is 0.0423 from the calculator
Can do it by hand
e^(-8)*8^0/0! for 0 failures and that probability is 0.0003
e^(-8)*8^1/1!=0.0027
e^(-8)*8^2/2!=0.0107
e^(-8)*8^3/3!=0.0286
And that sum is 0.0423

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