The ratio of the number of mowers that fail to the overall number of mowers is known as the fraction of mowers that fail the functional performance test. Consequently, 9/500 lawnmowers fail, then the probability of having x failures in the next 100 mowers is = [tex]0.018x[/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 as,
= [tex]\frac{Number of mowers that fail}{Total number of mowers}[/tex]
Fraction that failed = [tex]\frac{54}{3000}[/tex]
Fraction that failed = [tex]\frac{9}{500}[/tex]
Fraction that failed = 0.018
Therefore,
The ratio of the number of mowers that fail to the overall number of mowers is known as the fraction of mowers that fail the functional performance test. Consequently, 9/500 lawnmowers fail, then the probability of having x failures in the next 100 mowers is = [tex]0.018x[/tex]
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