Question 3 • Advanced Algebra: Concepts and Connections
The table shows the ages of houses to the nearest year in a neighborhood. Using the age of the houses as the random variable, cap x , which graph shows the probability distribution, cap p sub cap x times x , of a randomly chosen house?
Answer
A
Image with description The bar graph is titled Probability Distribution. The horizontal axis lists 0 to 4 in increments of 1 and is labeled as x. The vertical axis lists 0 to 0 point 3 5 in increments of 0 point 0 5 and is labeled as a P subscript x of x. There are 4 bars on the graph. The first bar is at 1 and its height is 0 point 1 6, the second bar is at 2 and its height is 0 point 2 2, the 3rd bar is at 3 and its height is 0 point 2 8, and the 4th bar is at 4 and its height is 0 point 3 3.
B
Image with description The bar graph is titled as "Probability Distribution". The horizontal axis ranges from 0 to 4 with increments of 1 and labeled as x. The vertical axis ranges from 0 to 0 point 1 4 with increments of 0 point 0 2 and labeled as a P subscript X of x. There are 4 bars on the graph. The first bar is located at 1 and its height is 0 point 6 5, the second bar is located at 2 and its height is 0 point 1, the third bar is located at 3 and its height is 0 point 1 2, and the fourth bar is located at 4 and its height is 0 point 1 3.
C
Image with description The bar graph is titled as "Probability Distribution". The horizontal axis ranges from 0 to 4 with increments of 1 and also labeled as x. The vertical axis ranges from 0 to 0 point 4 5 with increments of 0 point 0 5 and labeled as a P subscript X of x. There are 4 bars on the graph. The first bar is located at 1 and its height is 0 point 1, the second bar is located at 2 and its height is 0 point 2, the third bar is located at 3 and its height is 0 point 3, and the fourth bar is located at 4 and its height is 0 point 4.
D
Image with description The bar graph is titled as "Probability Distribution". The horizontal axis ranges from 0 to 4 with increments of 1 and labeled as x. The vertical axis ranges from 0 to 0 point 3 5 with increments of 0 point 0 5 and labeled as a P subscript X of x. There are 4 bars on the graph. The first bar is located at 1 and its height is 0 point 1 5, the second bar is located at 2 and its height is 0 point 2, the third bar is at 3 and its height is 0 point 2 5, and the fourth bar is located at 4 and its height is 0 point 3.