anonymous
  • anonymous
A manufacturer produces a large number of microwaves. From past experience, the manufacturer knows that approximately 1.5% of all its microwaves are defective. Consumer Reports randomly selects 20 of these microwaves for testing. You want to determine the probability that no more than one of these microwaves is defective.
Mathematics
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anonymous
  • anonymous
A manufacturer produces a large number of microwaves. From past experience, the manufacturer knows that approximately 1.5% of all its microwaves are defective. Consumer Reports randomly selects 20 of these microwaves for testing. You want to determine the probability that no more than one of these microwaves is defective.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
What is the probability that at most two of the microwaves are defective?
anonymous
  • anonymous
It's just binomial distribution, no?
anonymous
  • anonymous
Yeah, but how would I get it with x<=2. I know how to do x=2, but not x<=2.

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anonymous
  • anonymous
\[ \Pr(X\leq 2) = \Pr(X=0, X=1, X=2) = \Pr(X =0) + \Pr(X = 1) +\Pr(X = 2) \]
anonymous
  • anonymous
Ah, alright. Thanks. I get it now.
anonymous
  • anonymous
They're mutually exclusive events. They can't have both exactly 2 and exactly 1 defective microwave.

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