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ruslelena [56]
3 years ago
7

A farmer has found that the length of string beans he grows follows a normal distribution, having a mean of 12 cm, and a standar

d deviation of 1.17 cm. If the farmer can only sell beans between 9 and 15 cm long, about what percentage of the crop cannot be sold? Explain your answer.
Mathematics
1 answer:
Mariulka [41]3 years ago
7 0

μ = 12; σ = 1.17 

<span>z = ( 9 - μ ) / σ = -2.5641 
</span>
<span>z = ( 15 - μ ) / σ = 2.5641 
</span>
<span>P (9 < x < 15) = P (-2.5641 < z < 2.5641) = 0.9897 = 98.97%</span>
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