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scoundrel [369]
2 years ago
5

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 st

andard deviation of 1.91. Find the probability that a randomly selected individual will take less than 6 minutes to select a shoe purchase. Is this outcome unusual?
Mathematics
1 answer:
AnnZ [28]2 years ago
4 0

Answer:  0.0918, it is not unusual.

Step-by-step explanation:

Given : 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.

i.e. \mu=8.54 minutes and \sigma= 1.91 minutes

Let x denotes the length of time a person takes to decide which shoes to purchase.

Formula : z=\dfrac{x-\mu}{\sigma}

Then, the probability that a randomly selected individual will take less than 6 minutes to select a shoe purchase will be :-

\text{P-value=}P(x

Thus , the required probability = 0.0918

Since, P-value (0.0918) >0.05 , it means this outcome is not unusual.

[Note : When a outcome is unusual then the probability of its happening is less than or equal to 0.05. ]

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