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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 weight of a T-bone steak.

(A) Is the number of points scored during a basketball game discrete or continuous?

a.The random variable is continuous. The possible value are x=0,1,2,
b.The random variable is discrete. The possible values are x ? 0

Respuesta :

Answer:

a) Discrete

b) continuous

Step-by-step explanation:

Given that there are two random variables

1) The number of points scored during a basketball game

2) The weight of a

T bone steak.

The number of points scored during a basketball game

-- Can take values as 0,1,2.....

This can be counted i.e. we can have a one to one correspondence with natural numbers.

So this is a discrete variable

The weight of a T-bone steak

-- This can take any value in decimal or fraction.  This can be between an interval comprising all values over the interval.  Hence we cannot set one to one correspondence with set of natural numbers.

So continuous variable.