The Random Variable that should be considered continuous is "The time it takes for a randomly chosen athlete to run 200 meters" , the correct option is (c) .
In the question ,
four random variables are given , we have to select the random variable that is continuous .
A Continuous Random Variable is a random variable X , which can take any value in its domain or in an interval or the union of intervals on the real line is called Continuous random variable .
For Example : weight of middle aged people lying between 40 Kg and 150 Kg .
From the given options ,
the option (c) , the time taken for a randomly chosen athlete to run 200 meters is a interval of time ,
So ,it is can be called as Continuous Random Variable .
Therefore , the option that represents Continuous Random Variable is option(c) .
The given question is incomplete , the complete question is
Which of the following random variables should be considered continuous ? Select one:
(a) The number of cars owned by a randomly chosen adult male
(b) The number of orders received by a mail-order company in a randomly chosen week
(c) The time it takes for a randomly chosen athlete to run 200 meters
(d) The numbers of brothers a randomly chosen person has .
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