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3 December, 09:02

uppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9 ounces and a standard deviation of 0.8 ounces. (a) Carl only wants to sell the best potatoes to his friends and neighbors at the farmer's market. According to weight, this means he wants to sell only those potatoes that are among the heaviest 25%. What is the minimum weight required to be brought to the farmer's market?

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  1. 3 December, 10:51
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    x = 9.53 ounces

    Explanation:

    Given that

    Mean,μ = 9 ounces

    Standard deviation,σ=0.8 ounces

    He wants to sell only those potatoes that are among the heaviest 25%.

    P=25% = 0.25

    When P = 0.25 then Z=0.674

    Lest take x is the the minimum weight required to be brought to the farmer's market.

    We know that

    x = Z. σ + μ

    x = 0.674 ₓ 0.8 + 9 ounces

    x = 9.53 ounces
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