Probabilities from Normal Distributions

 

Question 12 pts
The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.21 minutes and a standard deviation of 1.90. Find the probability that a randomly selected individual will take less than 6 minutes to select a shoe purchase. Is this outcome unusual?
Homework Help:
4VA. Calculating normal probabilities (2:18)
4DF. Probabilities from Normal DistributionsLinks to an external site. (DOCX)
Group of answer choices

Probability is 0.12, which is unusual as it is less than 5%

Probability is 0.12, which is usual as it is not less than 5%

Probability is 0.88, which is unusual as it is greater than 5%

Probability is 0.88, which is usual as it is greater than 5%

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Question 22 pts
In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 4.8 minutes. It is assumed that this is a normally distributed variable. Find the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.
Homework Help:
4VA. Calculating normal probabilities (2:18)
4DF. Probabilities from Normal DistributionsLinks to an external site. (DOCX)
Group of answer choices

0.40

0.70

0.30

Less than 1%

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