Question

The probability distribution of X, the number of imperfections per meter of a wallpaper, is given...

  1. The probability distribution of X, the number of imperfections per meter of a wallpaper, is given by:

x

0

1

2

3

4

5

f(x)

0.4

0.35

0.25

0.15

0.1

0.04

a)

Find the mean of the number of imperfections per meter of wallpaper.

b)

If you need 2 meters of the wallpaper to design a section of your bedroom, how many

imperfections do you expect to see in your wallpaper?

(2 mark)

c)

Find the standard deviation of the number of imperfections per meter.

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