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    Define the following events

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    Only use a scientific or graphing calculator (Excel does not help me) and please show all working out.

    Question 5

    A random sample of 1000 voters was cross-classified according to income level and the political party they plan to vote for in an upcoming election. The results were as follows:

    Income Liberal Conservative NDP Total
    (LIB) (CON) (NDP)
    High (H) 110 250 0 360
    Middle (M) 300 140 20 460
    Low (L) 60 100 20 180
    Total 470 490 40 1000

    One voter is selected at random.

    Define the following events:
    H = voter selected has a high income
    M = voter selected has a middle income
    L = voter selected has a low income
    LIB = voter selected plans to vote Liberal
    CON = voter selected plans to vote conservative
    NDP = voter selected plans to vote NDP

    a. What is the probability that the selected voter
    i. plans to vote Liberal or has a middle income?
    ii. plans to vote NDP given that he or she has a low income?
    iii. has a high income and plans to vote conservative?

    b. Are the events "M" and "CON"
    i. mutually exclusive? Explain.
    ii. independent? Show your proof.

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