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radh

  • 2 years 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
    • 2 years ago
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    What is the probability that at most two of the microwaves are defective?

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

  3. radh
    • 2 years 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
    • 2 years 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
    • 2 years ago
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    Ah, alright. Thanks. I get it now.

  6. wio
    • 2 years 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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