Question 7 • Advanced Algebra: Concepts and Connections
Taylor surveys students in one grade level who own at least one pet. She finds that 50 percent of the students surveyed own 2 pets, 3 students own 3 pets each, and 2 students own 4 pets each. Eight of the students in the grade own 1 pet. Considering the number of pets as the random variable, cap x , which of the following is the probability distribution, cap p sub x times x ?
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 6 in increments of 0 point 1 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 5 3, the second bar is at 2 and its height is 0 point 5, the 3rd bar is at 3 and its height is 0 point 2, and the 4th bar is at 4 and its height is 0 point 2 7.
B
Image with description The bar graph is entitled 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 6 in increments of 0 point 1 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 2 8, the second bar is at 2 and its height is 0 point 5, the 3rd bar is at 3 and its height is 0 point 1, and the 4th bar is at 4 and its height is 0 point 1 2.
C
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 7 in increments of 0 point 1 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 6 1, the second bar is at 2 and its height is 0 point 5, the 3rd bar is at 3 and its height is 0 point 2 2, and the 4th bar is at 4 and its height is 0 point 1 5.
D
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 6 in increments of 0 point 1 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 3, the second bar is at 2 and its height is 0 point 5, the 3rd bar is at 3 and its height is 0 point 1 1, and the 4th bar is at 4 and its height is 0 point 0 8.