comtemt attribution
QUESTION 17 1 POINT
A random sample of banana tree yields has a sample mean of x = 62 bananas and sample standard deviation of s=5
bananas. Use the Empirical Rule to estimate the percentage of banana yields that are less than 47 bananas.
Round your answer to the nearest hundredth.

Respuesta :

The percentage of banana yields that are less than 47 bananas is 0.15%.

What is the empirical rule?

The empirical rule states that for a normal distribution, 68% of the values are within one standard deviation from the mean, 95% of the values are within two standard deviation from the mean and 99.7% of the values are within three standard deviation from the mean

Given mean of 62 and standard deviation of 5, hence:

99.7% are within 3 standard deviation = 62 ± 3(5) = (47, 77)

The percentage less than 47 bananas = (100% - 99.7%) / 2 = 0.15%

The percentage of banana yields that are less than 47 bananas is 0.15%.

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