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2.4 Statistical distributions

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Question 1
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A random variable X X\,X has the probability function:

P(X=x)=(2x−1)36x=1,2,3,4,5,6 P(X=x) = \frac{(2x-1)}{36} \quad x = 1, 2, 3, 4, 5, 6 P(X=x)=36(2x−1)​x=1,2,3,4,5,6
a.

Construct a table giving the probability function of XXX.

[2]
b.

Find P(1.4<X<3.9)P(1.4 < X < 3.9)P(1.4<X<3.9)

[1]
c.

Construct a table for the cumulative distribution F(x)F(x)F(x)

[2]

2.4 Statistical distributions Questions

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  3. /2.4 Statistical distributions