Tprint Cellular has introduced a new billing plan called "Your Choice." Under the plan, you choose your allotment of cell phone minutes at the beginning of each month. Your monthly bill is then a fixed charge of $10, plus 8 cents for each minute in your allotment. If you talk more than your allotted minutes in a month, you must pay a penalty charge of 40 cents per minute. If you do not use the minutes allotted to you in a month, the unused minutes are lost and do not "roll over" to the next month. From your cell phone bills the past 10 months, you find the following data on your minutes talked per month, and you decide to use this empirical distribution as a forecast of your talking behavior going forward. Assume that you will not alter your talking behavior based on your allotment of minutes. Month Minutes Feb 280 Jan 380 Dec 255 Nov 250 Oct Sep Aug Jul Jun May 190 315 250 350 275 260 (a) Your old plan offered 300 minutes for a fixed charge. What service level does an allotment of 300 minutes represent?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1.
Tprint Cellular has introduced a new billing plan called "Your Choice." Under the plan,
you choose your allotment of cell phone minutes at the beginning of each month. Your monthly bill
is then a fixed charge of $10, plus 8 cents for each minute in your allotment. If you talk more than
your allotted minutes in a month, you must pay a penalty charge of 40 cents per minute. If you do
not use the minutes allotted to you in a month, the unused minutes are lost and do not "roll over"
to the next month. From your cell phone bills the past 10 months, you find the following data on
your minutes talked per month, and you decide to use this empirical distribution as a forecast of
your talking behavior going forward. Assume that you will not alter your talking behavior based
on your allotment of minutes.
Month
Feb
Jan
Dec
Nov
Oct
Sep
Aug
Jul
Jun
May
Minutes.
280
380
255
250
190
315
250
350
275
260
(a) Your old plan offered 300 minutes for a fixed charge. What service level does an allotment
of 300 minutes represent?
Transcribed Image Text:1. Tprint Cellular has introduced a new billing plan called "Your Choice." Under the plan, you choose your allotment of cell phone minutes at the beginning of each month. Your monthly bill is then a fixed charge of $10, plus 8 cents for each minute in your allotment. If you talk more than your allotted minutes in a month, you must pay a penalty charge of 40 cents per minute. If you do not use the minutes allotted to you in a month, the unused minutes are lost and do not "roll over" to the next month. From your cell phone bills the past 10 months, you find the following data on your minutes talked per month, and you decide to use this empirical distribution as a forecast of your talking behavior going forward. Assume that you will not alter your talking behavior based on your allotment of minutes. Month Feb Jan Dec Nov Oct Sep Aug Jul Jun May Minutes. 280 380 255 250 190 315 250 350 275 260 (a) Your old plan offered 300 minutes for a fixed charge. What service level does an allotment of 300 minutes represent?
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