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In: Math

Can someone show me how to do this on excel? Question involves cell phone users. Mean...

Can someone show me how to do this on excel?

Question involves cell phone users.

Mean monthly data usage = 5.8 GB/month

StDev monthly data usage = 2.5 GB/month

"Heavy users" are those that use >= 9 GB/month

a.) What is the probability a "heavy user" uses more than 10 GB/month?

b.) Two users are selected at random. What is the probability at least one of them is a heavy user?

c.) Five users are selected at random. What is the probability that at least one of them is a heavy user?

Again, I am looking for the EXCEL formula to solve these. THANK YOU!!!!

Solutions

Expert Solution

we have Given,

Mean monthly data usage = 5.8 GB/month

StDev monthly data usage = 2.5 GB/month

a.) What is the probability a "heavy user" uses more than 10 GB/month?

let x=heavy user

p(x>1)=?

mean 5.8
sd 2.5
probability of havey user 0.025263

b.) Two users are selected at random. What is the probability at least one of them is a heavy user?

probability at least one of them is a heavy user means 1- probability of none of them are heavy user.

probability at least one of them is a heavy user means 0.0755284

c.) Five users are selected at random. What is the probability that at least one of them is a heavy user?

users probability
1 0.025263
2 0.050266
3 0.085228
4 0.123141
5 0.151612

for the code of probability in the excel please check the attached screenshot.

the code is" NORM.DIST(x,mean,standard_dev,cumulative)"

The NORM.DIST function syntax has the following arguments:

  • X     Required. The value for which you want the distribution.

  • Mean     Required. The arithmetic mean of the distribution.

  • Standard_dev     Required. The standard deviation of the distribution.

  • Cumulative     Required. A logical value that determines the form of the function. If cumulative is TRUE, NORM.DIST returns the cumulative distribution function; if FALSE, it returns the probability density function.


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