In: Statistics and Probability
Classify each of the following random variables as discrete or continuous. a) The time left on a parking meter So, we want to ask do we COUNT the time left on the parking meter or do we MEASURE it. We measure the time, so measuring is continuous. b) The number of bats broken by a major league baseball team in a season We can count the number of physical bats there broken during a season. Since we can COUNT it, we know that counting is discrete c) The number of cars in a parking lot at a given time We can count the number of cars in the parking lot. COUNTING means discrete d) The price of a car We don't sum up the prices of various cars, but we measure them (often to compare one to the other). MEASURING means continuous. e) The number of cars crossing a bridge on a given day Not too terrible - we count the number of cars crossing the bride, therefore COUNTING we know is discrete. f) The time spent by a physician examining a patient Time isn't counted to get a sum, we measure time and see who waited more or less time than others. MEASURING means continuous g) The number of books in a student's bag Want to know how many books are in a student's bag? Gotta COUNT them, which - we know - means discrete Hey that was awesome. No math!! Thoughts about continuous and discrete variables? Ready to rumble with these concepts? Sound off!
Question asked:
Classify each of the following random numbers as discrete or continuous
Answer is given in the following Table:
Sl.No. | Variable | Type of Variable | Reason |
(a) | The time left on a parking meter | Continuous | Since we can measure time, it is continuous |
(b) | The number of bats broken by a major league baseball team in a season | Discrete | Since we can count the number of bats, it is discrete |
(c) | The number of cars in a parking lot in a given time | Discrete | Since we can count the number of cars, it is discrete |
(d) | The price of a car | Continuous | Since we can measure the price, it is continuous |
(e) | The number of cars crossing a bridge on a given day | Discrete | Since we can count the number of cars, it is discrete |
(f) | The time spent by a physician in examining a patient | Continuous | Since we can measure the time, it is continuous |
(g) | The number of books in a student's bag | Discrete | Since we can count the number of books, it is discrete |