Listed is a series of experiments and associated random variables. In each case,

Question

Listed is a series of experiments and associated random variables. In each case, identify
the values that the random variable can assume and state whether the random variable is
discrete or continuous.
Experiment Random Variable (x)
a. Take a 20-question examination Number of questions answered correctly
b. Observe cars arriving at a tollbooth Number of cars arriving at tollbooth
for 1 hour
c. Audit 50 tax returns Number of returns containing errors
d. Observe an employee’s work Number of nonproductive hours in an
eight-hour workday
e. Weigh a shipment of goods Number of pounds

Explanation / Answer

Answer :

a) X =0,1,2,.......20 and random variable X is discrete.

b) X = 0,1, 2,.........and random variable X is discrete.

C) X=0,1,2,........50 and random variable X is discrete.

d) 0 <= X <= 8 and random variable X is continuous.

e) 0<=X<infinity and random variable X is continuous.

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