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The weights of python snakes are normally distributed with a

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The weights of python snakes are normally distributed with a [#permalink] New post   13 Oct 2020, 06:30
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72% (01:26) correct 27% (01:43) wrong based on 94 sessions

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The weights of python snakes are normally distributed with a mean of 110 kg and a standard deviation of 8 kg. If 68% of pythons weigh within one standard deviation of the mean and 95% of pythons weigh within two standard deviations of the mean, what percent of pythons weigh from 94 to 102 kg?

A. 47.5%

B. 34%

C. 27%

D. 17%

E. 13.5%


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Re: The weights of python snakes are normally distributed with a [#permalink] New post   14 Oct 2020, 17:57
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The weights of python snakes are normally distributed with a mean of 110 kg and a standard deviation of 8 kg. If 68% of pythons weigh within one standard deviation of the mean and 95% of pythons weigh within two standard deviations of the mean, what percent of pythons weigh from 94 to 102 kg?

Step 1: Understanding the question
Plotting normal distribution curve with a mean of 110 and standard deviation of 8, refer to the attachment
When 95% of the readings lies between 94 to 126 and 68% lie between 102 and 118, remaining region ie blue = 95% - 68% = 27%
Hence, percent between 94 to 102 = 27/2 = 13.5%

E is correct
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Untitled.png
Untitled.png [ 8.53 KiB | Viewed 5272 times ]

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Re: The weights of python snakes are normally distributed with a [#permalink] New post   31 May 2021, 02:11
what level is this question
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Re: The weights of python snakes are normally distributed with a [#permalink] New post   31 May 2021, 02:13
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I would say between 3 and 4
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Re: The weights of python snakes are normally distributed with a [#permalink] New post   25 Sep 2024, 09:19
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The weights of python snakes are normally distributed with a [#permalink]
25 Sep 2024, 09:19
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