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Determine whether the random variable is discrete or continuous in each case, st

ID: 3216623 • Letter: D

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 fish caught during a fishing tournament. (b) The weight of a T-bone steak. (a) is the number of fish caught during a fishing tournament discrete or continuous? O A. The random variable is discrete, The possible values arex20 O B. The random variable is continuous The possible values are x 0, 1, 2, O C. The random variable is continuous The possible values are x20 O D. The random variable is discrete The possible values are x-0,1.2, (b) Is the weight of a T-bone steak discrete or continuous?

Explanation / Answer

A continuous variable is a variable whose value is obtained by measuring. A random variable is avariable whose value is a numerical outcome of a random phenomenon. A discrete random variable X has a countable number of possible values.

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

b. The random variable is continuous. The possible values are w>0

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