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The length of time a person takes to decide which shoes to purchase is normally distributed...

The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.54 minutes and a standard deviation of 1.91. Find the probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase. Is this outcome unusual?

Probability is 0.97, which is usual as it is greater than 5%
Probability is 0.03, which is usual as it is not less than 5%
Probability is 0.97, which is unusual as it is greater than 5%
Probability is 0.03, which is unusual as it is less than 5%
Math   Statistics-And-Probability   
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Answer #1

It is given that

We have to find the z score for less than 5 minutes. The formula for z-score is given by

Now we will look up the probability of z= - 1.85 in z-score table.

We find that the probability of an individual to take less than 5 minutes to select a shoe purchase is 0.03.

Therefore, the correct answer is option "Probability is 0.03, which is unusual as it is less than 5%."

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