Question 1

Paper 2Easy5 marks

A game pays the player different amounts on each play. Let XX be the player’s net gain, in USD, on one play. The probability distribution of XX is shown in Figure 1.

-5-4-3-2-10123456700.10.20.30.40.5x, player’s net gain (USD)P(X=x)
(a)

Write down P(X=1)P(X=1)

[1]
(b)

Show that E(X)=0E(X)=0

[3]
(c)

Hence state whether the game is fair.

[1]

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