SOLUTION: A brisk walk at 5 miles per hour,burns an average of 250 calories per hour. If the standard deviation of the distribution is 10 calories.Assume the variable to be normally distribu

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Question 1180152: A brisk walk at 5 miles per hour,burns an average of 250 calories per hour. If the standard deviation of the distribution is 10 calories.Assume the variable to be normally distributed.
Find the probability that a person who walks one hour at rate of 5 mile per hour will burn the following calories.
1. Between 245 and 255 calories
2. Less than 263 calories
3. Less than 248 calories
4. More than 238 calories
5. More than 272 calories
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Normal Distribution:  µ = 250 and σ = 10 
Using TI or similarly an inexpensive calculator like a Casio fx-115 ES plus
Continuous curve
Chose 'a person'
P(245 > x > 255) = P(x ≥ 63.0) = normalcdf(245, 255, 250, 10) = .3829
P(x < 263) = P(x ≤ 263) = normalcdf(-9999, 263, 250, 10) = .9032
P(x < 248) = P(x ≤ 248) = normalcdf(-9999, 248, 250, 10) = .4207
P(x > 238 = P(x ≥ 238) = normalcdf( 238, 9999, 250, 10) = .8849
P(x > 272 = P(x ≥ 272) = normalcdf( 272, 9999, 250, 10) = .0139

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Wish You the Best in your Studies.