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	Values	Continuous or Discrete
a. Take a 10-question examination	Number of questions answered correctly	- Select your answer -0 , 1 , 2 ,..., 10x ≥ 0x ≤ 101 , 2 , 3 ,..., 10Item 1	- Select your answer -ContinuousDiscreteItem 2
b. Observe cars arriving at a tollbooth for 2 hour	Number of cars arriving at tollbooth	- Select your answer -0 , 1 , 2 ,..., 120x > 00 , 1 , 2 ,...1 , 2 , 3 ,..., 120Item 3	- Select your answer -ContinuousDiscreteItem 4
c. Audit 65 tax returns	Number of returns containing errors	0 , 1 , 2 ,..., 650 < x < 65x ≥ 0x ≥ 65- Select your answer -Item 5	- Select your answer -ContinuousDiscreteItem 6
d. Observe an employee’s work	Number of nonproductive hours in an nine-hour workday	- Select your answer -0 , 1 , 2 ,..., 9x ≥ 00 ≤ x ≤ 91 , 2 , 3 ,...Item 7	- Select your answer -ContinuousDiscreteItem 8
e. Weigh a shipment of goods	Number of pounds	- Select your answer -0 , 1 , 2 ,...x ≥ 0x > 01 , 2 , 3 ,...Item 9	- Select your answer -ContinuousDiscreteItem 10

Answer 1