Question

Suppose that you have a loaded die, where the probability of landing on each number is...

Suppose that you have a loaded die, where the probability of landing on each number is given by the following:

x

1

2

3

4

5

6

P(X=x)

0.3

0.1

0.1

0.1

0.1

.3


Find the standard deviation of a single roll of the die.

0 0
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Answer #1

The table for calculation is:

x*p 0.3 0.3 0.1 0.2 0.1 0.3 0.1 0.4 0.1 0.5 p*(x - Mean)A2 1.8750 0.2250 0.0250 0.0250 0.2250 1.8750 Sum 3.5 4.2500

Hence,

Standard deviation = p * (x-Mean)2-V4.25 = 2.0616

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