Question

The amount of time that a customer spends waiting at an airport check-in counter (X) is...

The amount of time that a customer spends waiting at an airport check-in counter (X) is a random variable with
mean 8.2 minutes and standard deviation 2.5 minutes. If a random sample of n = 30 customers were observed, then
what is the probability that the sample average waiting time exceeds 9 minutes? Show your work.

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that ,

mean = = 8.2

standard deviation = =2.5

n = 30

= 8.2

= / n =2.5 / 30= 0.4564

P( >9 ) = 1 - P( <9 )

= 1 - P[( - ) / < (9-8.2) /0.4564]

= 1 - P(z < 1.75)

Using z table

= 1 - 0.9599

= 0.0401

probability= 0.0401

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