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Artyom0805 [142]
3 years ago
10

Costco installs automobile tires on a first-come first-serve basis. the total time a customer needs to wait for the installation

to be completed follows the normal distribution with a mean time of 106.3 minutes and a standard deviation of 18.5 minutes. what is the probability that a randomly selected customer will wait between 80 and 95 minutes for his or her tires to be installed?
Mathematics
1 answer:
Kay [80]3 years ago
7 0
Given:
μ=106.3 minutes
σ=18.5 minutes
Need to find 
P(80<x<95)=>
P(x)=Z((95-&mu;)/&sigma;)-Z((80-&mu;)/&sigma;)
=Z(-0.61081)-Z(-1.42162)
=0.27066-0.077568
=0.1931
Therefore probability of customers waiting between 80 and 95 minutes is 0.1931

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