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The weights of python snakes are normally distributed with a
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13 Oct 2020, 06:30
13 Oct 2020, 06:30
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Question Stats:
70% (01:25) correct
29% (01:43) wrong based on 89 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%
Kudos for the right answer and explanation
A. 47.5%
B. 34%
C. 27%
D. 17%
E. 13.5%
Kudos for the right answer and explanation
Re: The weights of python snakes are normally distributed with a
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14 Oct 2020, 17:57
14 Oct 2020, 17:57
1
Quote:
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
Attachments
Untitled.png [ 8.53 KiB | Viewed 5049 times ]
Re: The weights of python snakes are normally distributed with a
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31 May 2021, 02:11
31 May 2021, 02:11
what level is this question
