Question

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

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 points scored during a basketball game.

​(b) The time it takes to fly from City Upper A to City Upper Btime it takes to fly from City A to City B.

​(a) Is the number of points scored during a basketball game points scored during a basketball game

discrete or​ continuous?

A. The random variable is discrete. The possible values are x greater than or equals 0x≥0.

B.The random variable is continuous. The possible values are x=​0,1,​2,.....

C.The random variable is continuous. The possible values are x greater than or equals 0x≥0.

D.The random variable is discrete. The possible values are x=​0,1,​2,....

​(b) Is the time it takes to fly from City Upper A to City Upper Btime it takes to fly from City A to City B

discrete or​ continuous?

A.The random variable is discrete. The possible values are t=1, 2,3,...

B.The random variable is discrete. The possible values are t>0.

C.The random variable is continuous. The possible values are t>0.

D.The random variable is continuous. The possible values are t=1,2,3 comma...

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Answer #1

a) The number of points scored during a basketball game is discrete, as it can take value 0, 1, 2... It can't take values like 1.2, 2.3, etc.. So, the correct choice is,

D. The random variable is discrete. The possible values are x=​0,1,​2,...

b) The time it takes to fly from City A to City B is continuous as it can take any values and not just a whole number. So, the correct choice is,

C. The random variable is continuous. The possible values are t>0.

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