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radh

  • one year ago

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.

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  1. radh
    • one year ago
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    What is the probability that at most two of the microwaves are defective?

  2. wio
    • one year ago
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    It's just binomial distribution, no?

  3. radh
    • one year ago
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    Yeah, but how would I get it with x<=2. I know how to do x=2, but not x<=2.

  4. wio
    • one year ago
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    \[ \Pr(X\leq 2) = \Pr(X=0, X=1, X=2) = \Pr(X =0) + \Pr(X = 1) +\Pr(X = 2) \]

  5. radh
    • one year ago
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    Ah, alright. Thanks. I get it now.

  6. wio
    • one year ago
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    They're mutually exclusive events. They can't have both exactly 2 and exactly 1 defective microwave.

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