Determine whether the random variable is discrete or continuous. In each case, state the possible v

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable.
    (a) The number of customers arriving at a bank between noon and 1:00 P.M.
    (i) The random variable is continuous. The possible values are x >= 0.
    (ii) The random variable is discrete. The possible values are x = 0, 1, 2,...
    (iii) The random variable is continuous. The possible values are x = 0, 1, 2,...
    (iv) The random variable is discrete. The possible values are x >= 0.
    (b) The amount of snowfall
    (i) The random variable is continuous. The possible values are s = 0, 1, 2,...
    (ii) The random variable is discrete. The possible values are s >= 0.
    (iii) The random variable is discrete. The possible values are s = 0, 1, 2,...
    (iv) The random variable is continuous. The possible values are s >= 0.

    (a) (ii) The random variable is discrete. The possible values are x = 0, 1, 2,...
    Discrete variables are limited in the values they can take between 9 and ∞

    (b) (iv) The random variable is continuous. The possible values are s >= 0. Snowfall can be a decimal and can vary between 0 and ∞
     

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