During the 2013 regular basketball season, a player had the highest field goal completion rate in the league. This player scored with 61.3 percent of his shots. Suppose you choose a random sample of 80 shots made by this player during the 2013 season. Let X = the number of shots that scored points.
- What is the probability distribution for X?
- Using the formulas, calculate the (i) mean and (ii) standard deviation of X.
- Use your calculator to find the probability that this player scored with 60 of these shots.
- Find the probability that this player scored with more than 50 of these shots.
OpenStax Statistics, 4.3 Binomial Distribution (Optional), exercise 16