Question
Asked Nov 12, 2019
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The weights of traditional carving pumpkins at a local pumpkin patch are normally distributed, with a
mean of 14.5 lbs and a standard deviation of 2.8 lbs. What percentage of pumpkins will weigh:
5.
a) More than 16 lbs?
b) Between 10 and 20 lbs?
c) The smallest 2% of the pumpkins are reserved for the school groups that come to the pumpkin patch
What size pumpkins would be included in that group? (round to one decimal place)
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The weights of traditional carving pumpkins at a local pumpkin patch are normally distributed, with a mean of 14.5 lbs and a standard deviation of 2.8 lbs. What percentage of pumpkins will weigh: 5. a) More than 16 lbs? b) Between 10 and 20 lbs? c) The smallest 2% of the pumpkins are reserved for the school groups that come to the pumpkin patch What size pumpkins would be included in that group? (round to one decimal place)

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Expert Answer

Step 1

It is given that the mean and standard deviation are 14.5 and 2.8, respectively.

Step 2

a)

The required percentage is obtained as follows:

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16-14.5 x - P(x>16) P 2.8 P(>0.54) -1-P(0.54) -1-0.7054 ( Using standard normal table) =0.2946 =29.46%

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Step 3

b)

The required percentage is o...

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10 14.5 20 14.5 x- P(10 xs 20) P 2.8 2.8 = P(-1.61ss1.96) -P(1.96)-P(<-1.61) 0.9750 0.0537 .Using standard normal table =0.9213 =92.13% b

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