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SVETLANKA909090 [29]
2 years ago
15

Suppose the daily customer volume at a call center has a normal distribution with mean 4,900 and standard deviation 700. What is

the probability that the call center will get fewer than 4,400 calls in a day
Mathematics
1 answer:
Nastasia [14]2 years ago
4 0

The probability that the call center will get fewer calls than 440 is 0.26115.

Given mean of 4900 and standard deviation of 700.

We have to calculate the probability that the call center will get fewer than 4400 calls.

Probability lies between 0 and 1.

μ=4900

σ=700

We can  apply z as well as t statistics because the sample size is not given.

We are applying z statistics.

P(X<4400)=0.5-P(4400<X<4900)

z=X-μ/σ

where μ= mean

σ=standard deviation

z=4400-4900/700

=-500/700

=-0.71

p value of -0.71 is 0.23885.

So the p value of calls less than 4400 is 0.5-0.23885=0.26115.

Hence the probability that the call center will get calls less than 440 is 0.26115.

Learn more about z test at brainly.com/question/14453510

#SPJ4

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