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. The number of people in a restaurant that has a capacity of 250. The time it takes to fly from City A to City B. Is the number of people in a restuarant that has a capacity of 250 discrete or continuous? The random variable is discrete. The possible values are o less-than or equal to x less-than or equal to 250. The random variable is continuous. The possible values are x = 0, 1, 2,..., 250 The random variable is discrete. The possible values are x = 0, 1, 2,..., 250 The random variable is continuous. The possible values are o less-than or equal to x less-than or equal to 250. Is the time it takes to fly from City A to City B discrete or continuous? The random variable is continuous. The possible values are t > 0. The random variable is discrete. The possible values are t = 1, 2, 3,... The random variable is continuous. The possible values are t = 1, 2, 3,... The random variable is discrete. The possible values are t > 0.

Explanation / Answer

(a) The correct option is C. The random variable is discrete. The possible values are x = 0,1,2,3....250.

In this case we are talking about number of people and we can not say 2.5 people, because it does not make sense.This is why the random variable is discrete.

(b) The correct option is A. The random variable is continuous. The possible values are t>0.

Time is a continuous phenomena , thus it is treated as a continuous variable.

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