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lutik1710 [3]
3 years ago
15

The weight (in pounds) of ``medium-size'' watermelons is normally distributed with mean 15 and variance 4. A packing container f

or several melons has a nominal capacity of 140 pounds. What is the maximum number of melons that should be placed in a single packing container if the nominal weight limit is to be exceeded only 5\% of the time? Use the results of question 8 to help you answer this one.
Mathematics
1 answer:
Rainbow [258]3 years ago
6 0

Answer:

Hence safely 9 watermelons can be placed in a single container.

Step-by-step explanation:

Given that the  weight (in pounds) of ``medium-size'' watermelons is normally distributed with mean 15 and variance 4.

X = weight in pounds of medium size watermelons is N(15, 2)

Let the water melons stored be n

Then the sample of n has a mean of (15) and std error = \frac{2}{\sqrt{n} }

Capacity = 140

Hence we can say either 8 or 9

If n=9, we have weight = 15*9+1.96*2/3 = 136.40

Hence safely 9 watermelons can be placed in a single container.

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