TRIANGULAR DISTRIBUTION It is better to be approximately
TRIANGULAR DISTRIBUTION
“It is better to be approximately right rather than precisely wrong. Warren Buffett
• Often times we need a distribution for a random variable but we don't have any firm convictions as to the shape of the probability distribution. But we know it's endpoints and we know that the most common value (the mode) • In such circumstances, the triangular distribution can be a good option…
The time CHIDA PLUMBERS takes to install a tap is at minimum 20 minutes, at maximum 45 minutes, but the most common time is 25 minutes. What is the probability a person takes more than 30 minutes 20 25 30 45
The time CHIDA PLUMBERS takes to install a tap is at minimum 20 minutes, at maximum 45 minutes, but the most common time is 25 minutes. What is the probability a person takes more than 30 minutes? 0. 08 20 25 30 45 15
METHOD 3: formula going off to the left and right As long as the area we are looking for is a triangle, the area will = ½bh Graphically, this can only occur from some x value in the first half going off to the left 20 25 45
OR, if it were in the second half of the graph, it would be from some x value going off to the right 20 25 45
The good news is you don’t have to learn it. It’s the same as what is given on the formula sheet, except the 2 becomes a squared. The advantage is, it goes straight to the area, the original formula gives the height, then you have some more to do…
Whatever method you choose, you have to make astute use of adding and subtracting areas. This is because, often the area we are looking for is not a triangle:
Whatever method you choose, you have to make astute use of adding and subtracting areas. This is because, often the area we are looking for is not a triangle:
Whatever method you choose, you have to make astute use of adding and subtracting areas. This is because, often the area we are looking for is not a triangle: • • We start with the big triangle Then we erase (subtract) the small triangle
The time CHIDA PLUMBERS takes to install a tap is at minimum 20 minutes, at maximum 45 minutes, but the most common time is 25 minutes. What is the probability a person takes more than 30 minutes 1) What is the probability of them takin more than 25 minutes 2) What is the probability of them taking between 22 and 30 minutes 3) What is the probability of taking more than 40 or less than 25 minutes 4) What is the probability of taking between 35 and 40 minutes.
- Slides: 13