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ziro4ka [17]
3 years ago
6

Mark owns Siberian Husky sled dogs. He knows from data collected over the years that the weight of the dogs is a normal distribu

tion. They have a mean weight of 52.5 lbs and a standard deviation of 2.4 lbs. What percentage of his dogs would you expect to have a weight between 47.7 lbs and 54.9 lbs?
Mathematics
1 answer:
kozerog [31]3 years ago
8 0
Calculate the z-score for the given data points in the item using the equation,
 
                             z-score = (x - μ) / σ

where x is the data point, μ is the mean, and σ is the standard deviation.

Substituting,
             (47.7)     z-score = (47.7 - 52.5)/2.4 = -2

This translates to a percentile of 2.28%.

              (54.9)      z-score = (54.9 - 52.5)/2.4 = 1

This translates to a percentile of 84.13%. 

Then, subtract the calculate percentiles to give us the final answer of <em>81.85%.</em> 

Thus, 81.85% of the Siberian Husky sled dogs are expected to weigh between 47.7 and 54.9 lbs. 
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