(practio A brisk walk at 4 miles per hour burns an average of 280 calories per hour. If the standard deviation of the distribution is 5 calories, find the probability that a person who walks 1 hour at the rate of 4 miles per hour will burn the given number of calories. Assume the random variable is normally distributed. Refer to the table of values (Area Under the Standard Normal Distribution) as needed. If necessary, round intermediate calculations to the nearest hundredth. Part 1 (a) More than 260 calories %. The probability that a randomly selected person burns more than 260 calories is 100 Part 2 out of 3 (b) Less than 270 calories The probability that a randomly selected person burns less than 270 calories is %. CHECK NEXI
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Answer:
mean = 280 calories per hour
standard deviation = 5 calories
a)
more than 260 calories
finding z score
z score = ( x - mean ) / SD
= ( 260 - 280 ) / 5
finding probability using z score table
100 %
b)
less than 270 calories
z score = ( 270 - 280 )/ 5
2.28%
Step-by-step explanation:
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Answer:
(practio A brisk walk at 4 miles per hour burns an average of 280 calories per hour. If the standard deviation of the distribution is 5 calories, find the probability that a person who walks 1 hour at the rate of 4 miles per hour will burn the given number of calories. Assume the random variable is normally distributed. Refer to the table of values (Area Under the Standard Normal Distribution) as needed. If necessary, round intermediate calculations to the nearest hundredth. Part 1 (a) More than 260 calories %. The probability that a randomly selected person burns more than 260 calories is 100 Part 2 out of 3 (b) Less than 270 calories The probability that a randomly selected person burns less than 270 calories is %. CHECK NEXI