SOLUTION: I'm having problems with Poisson binomial distribution. The question is: Your company makes table tops. You average 3 acceptable defects per tabletop. What is the likelihood of fi

Algebra ->  Probability-and-statistics -> SOLUTION: I'm having problems with Poisson binomial distribution. The question is: Your company makes table tops. You average 3 acceptable defects per tabletop. What is the likelihood of fi      Log On


   

Question 912828: I'm having problems with Poisson binomial distribution. The question is:
Your company makes table tops. You average 3 acceptable defects per tabletop. What is the likelihood of finding only 1 acceptable defect? Two or fewer acceptable defects?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the empirical rate r+=+3 and the expectation X+=+1, we get:
P%28X+=1%29=+%28e%5E%28-r%29%2Ar%5EX%29%2F+X%21+
P%28X+=+1%29=+%28e%5E-3%2A3%5E1%29+%2F+1%21+
P%28X+=+1%29=+3+%2Fe%5E3+
P%28X+=+1%29=+3+%2F20.0855369
P%28X+=+1%29=+0.149361205103592
P%28X+=+1%29=+0.1494 ....the likelihood of finding only 1 acceptable defect