Final answer:
The missing word is 'percentage', relating to Yanic Perreault's faceoff win rate. The 40th percentile indicates that 40 percent of players scored eight or fewer points per game. For the basketball player's field goal completion rate, the mean and standard deviation can be calculated with a binomial distribution using 80 shots and a success rate of 61.3 percent. The correct option is A.
Step-by-step explanation:
The missing word in the sentence "The 2001-02 leader was Montreal's Yanic Perreault, with a 61.3% faceoff winning." is a percentage. This term refers to the proportion of faceoff wins achieved by Yanic Perreault in the mentioned season, expressed as a percent.
Moreover, when interpreting the 40th percentile for points scored per player in a game being eight, it means that 40 percent of the players scored eight points or fewer per game.
Given a player's highest field goal completion rate of 61.3 percent and a sample of 80 shots, the probability distribution for X, which is the number of shots scoring points, can be modeled with a binomial distribution where the number of trials n is 80 and the probability of success p is 0.613. To find the mean (μm) and standard deviation (σ) we use the formulas:
- Mean (μm) = np = 80 * 0.613
- Standard Deviation (σ) = √(np(1 - p))