the same as Q1: Assume the printer cartridges in average can print 12,000 pages with 800 pages as its standard deviation (µ= 12000, σ = 800), and it is a bell-shaped distribution for the number of pages (X) it can print before running of of ink.(X is a random variable, isn't it?)
Using Emprical Rules to answer:
What is the chance that your cartridger can print less than 12,800 pages? That means in Math: Prob(X < 12,800) or in short: P(X < 12,800) = ?
(ex., if the answer is 6.5%, write only 0.065, ignore the % sign).
Solution :
Given that ,
mean =
= 12000
standard deviation =
= 800
P(x < 12800) = P[(x -
) /
< (12800 - 12000) / 800]
= P(z < 1.00)
Using empirical rule
=
±
= 0.68
= 0.68 / 2 = 0.34
=
-
= 0.50 - 0.34
= 0.16
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