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What fraction of mowers fails the functional performance test using all the data in the worksheet Mower Test? Using this result, what is the probability of having x failures in the next 100 mowers tested, for x from 0 to 20?

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Answer:

6/8

Step-by-step explanation:

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The Fraction of mowers that fail the functional performance test is the ratio of the number of mowers that fail to the total number of mowers. Hence the fraction of mowers that fail [tex] \frac{9}{500}[/tex]

  • Probability of having x mower fail = 0.018x

  • Number of mowers that fail = 54
  • Total number of mowers = 3000

The probability of failure can be defined thus :

  • [tex] \frac{number \: of \: mowers \: that \: fail}{total \: number \: of \: mowers} [/tex]
  • Fraction that failed = [tex] \frac{54}{3000}=\frac{9}{500} = 0.018[/tex]

Therefore, the probability of having x failures in the next 100 mowers is (0.018x)

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