Determine whether the random variable is discrete or continuous. In each case, s

Question

Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable. (a) The number of points scored during a basketball game. (b) The amount of snowfall. (a) Is the number of points scored during a basketball game discrete or continuous? A. The random variable is continuous. The possible values are x greaterthanorequalto 0 B. The random variable is discrete. The possible values are x greaterthanorequalto 0. C. The random variable is continuous. The possible values are x = 0, 1, 2, ..... D. The random variable is discrete. The possible values are x = 0, 1, 2, ..... (b) Is the amount of snowfall discrete or continuous? A. The random variable is continuous. The possible values are s = 1, 2, 3, .... B. The random variable is discrete. The possible values are s = 1, 2, 3, .... C. The random variable is continuous. The possible values are s greaterthanorequalto 0. D. The random variable is discrete. The possible values are s greaterthanorequalto 0.

Explanation / Answer

(a) Points scored in a basketball game can take any integer value starting from 0. So it is a discrete random variable.

Hence, Option (D) is the correct choice. (Ans).

(b) Here the amount can take fractional values also. So the random variable is continuous with it's value starting from 0.

Hence, Option (C) is the correct choice. (Ans).

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