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in the country of united states of heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.4 inches, and standard deviation of 1.2 inches. what is the probability that the height of a randomly chosen child is between 50.5 and 53.7 inches? do not round until you get your your final answer, and then round to 3 decimal places.



Answer :

sqdancefan

Answer:

  0.591

Step-by-step explanation:

You want the probability that a height falls between 50.5 and 53.7 when the distribution of heights is normal with mean 53.4 and standard deviation 1.2. All measurements are in inches.

Probability

The area under the normal distribution curve with mean 53.4 and standard deviation 1.2 can be found using a suitable calculator. The one in the attachment shows the area between 50.5 and 53.7 is about 0.591

P(50.5 < X < 53.7) ≈ 0.591

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Additional comment

Any spreadsheet and most graphing calculators have the necessary probability functions. Many special-purpose apps also can answer this question. A calculator answer is shown in the second attachment.

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