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please show work :) even though its a multiple choice question After reviewing y

ID: 3149514 • Letter: P

Question

please show work :)

even though its a multiple choice question

After reviewing your wireless data usage records for the last 20 months, you found that the mean of your monthly wireless data usage was 200MB and the standard deviation was 50MB.

Suppose that your wireless data plan charges you a fixed monthly fee of $10 plus a data usage fee of $0.2 for each megabyte you used. For example, if you used 100MB, you pay a total of $30 including the monthly fee of $10 and the data usage fee of $20=($0.2/MB)*100MB.

Find the mean and standard deviation of your monthly payment.

The mean and standard deviation of the monthly payment are $60 and $10.

The mean and standard deviation of the monthly payment are $50 and $10.

The mean and standard deviation of the monthly payment are $60 and $15.

The mean and standard deviation of the monthly payment are $50 and $5.

The mean and standard deviation of the monthly payment are $60 and $5.

a.

The mean and standard deviation of the monthly payment are $60 and $10.

b.

The mean and standard deviation of the monthly payment are $50 and $10.

c.

The mean and standard deviation of the monthly payment are $60 and $15.

d.

The mean and standard deviation of the monthly payment are $50 and $5.

e.

The mean and standard deviation of the monthly payment are $60 and $5.

Explanation / Answer

Find the mean and standard deviation of your monthly payment.

mean = 200*0.2 = 40 + 10 = $50

SD = 50*0.2 = 10