Question 4 • Advanced Algebra: Concepts and Connections
A school conducts a recipe contest in which 1 student gets first place, 1 student gets second place, 1 student gets third place, and 10 students tie for fourth place. Fifty students enter the contest. If cap x represents the distribution of prizes, which graph represents the probability distribution for a randomly selected student?
Answer
A
Image with description The bar graph is entitled probability distribution. The horizontal axis lists no prize to 4th prize in increments of 1 and is labeled as x. The vertical axis lists 0 to 0 point 8 in increments of 0 point 1 and is labeled as a P subscript x of x. There are 5 bars on the graph. The first bar is at No prize and its height is 0 point 68, the second bar is at 1st prize and its height is 0 point 0 1, the 3rd bar is at 2nd prize and its height is 0 point 0 3, the 4th bar is at 3rd prize and its height is 0 point 0 5, and the 5th bar is at 4th prize and its height is 0 point 2.
B
Image with description The bar graph is entitled probability distribution. The horizontal axis lists no prize to 4th prize in increments of 1 and is labeled as x. The vertical axis lists 0 to 40 in increments of 5 and is labeled as a P subscript x of x. There are 5 bars on the graph. The first bar is at No prize and its height is 36, the second bar is at 1st prize and its height is 1, the 3rd bar is at 2nd prize and its height is 1, the 4th bar is at 3rd prize and its height is 1, and the 5th bar is at 4th prize and its height is 10.
C
Image with description The bar graph is entitled probability distribution. The horizontal axis lists no prize to 4th prize in increments of 1 and is labeled as x. The vertical axis lists 0 to 0 point 8 in increments of 0 point 1 and is labeled as a P subscript x of x. There are 5 bars on the graph. The first bar is at No prize and its height is 0 point 7 3, the second bar is at 1st prize and its height is 0 point 0 1, the 3rd bar is at 2nd prize and its height is 0 point 0 1, the 4th bar is at 3rd prize and its height is 0 point 0 1, and the 5th bar is at 4th prize and its height is 0 point 2.
D
Image with description The bar graph is entitled probability distribution. The horizontal axis lists no prize to 4th prize in increments of 1 and is labeled as x. The vertical axis lists 0 to 0 point 9 in increments of 0 point 1 and is labeled as a P subscript x of x. There are 5 bars on the graph. The first bar is at No prize and its height is 0 point 8, the second bar is at 1st prize and its height is 0 point 0 1, the 3rd bar is at 2nd prize and its height is 0 point 0 3, the 4th bar is at 3rd prize and its height is 0 point 0 5, and the 5th bar is at 4th prize and its height is 0 point 0 8.