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Please answer this question. Samsung collects data from casual joggers wearing the smart watch. The distances...

Please answer this question.

Samsung collects data from casual joggers wearing the smart watch. The distances run by these Samsung Smart watch users is known to be normally distributed with a mean of 5.5km and a standard deviation of 2.4km. Calculate the probability that the next jogger will run between 5km and 7km. Show all your working.

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Answer #1

Problem is direct application of Normal distribution: Finding the Z score based on given mean and standard deviation, and looking up the Z table or a probability calculator to find the proportion i.e. required probability under the CDF of Normal distribution

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