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Suppose the commute times for employees of a large company follow a
normal distribution. If the mean time is 24 minutes and the standard
deviation is 5 minutes, 95% of the employees will have a travel time within
which range?

A. 9 minutes to 39 minutes
B. 19.25 minutes to 28.75 minutes
C. 14 minutes to 34 minutes
D. 19 minutes to 29 minutes

Respuesta :

Answer:

C is the answer.

Step-by-step explanation:

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The employees will have to travel within 19.25 minutes to 28.75 minutes.

What is Normal Distribution?

'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'

According to the given problem,

Mean time = 24 minutes

Standard deviation = 5 minutes

Therefore,

⇒24 + 5 = 29

⇒24 - 5 = 19

Now,

(29 - 19) * 95% = 9.5

Hence, we can conclude that 95% of the employees will have to travel within 19.25 minutes to 28.75 minutes.

Learn more about normal distribution here:

https://brainly.in/question/8877034

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