In baseball, the statistic Walks plus Hits per Inning Pitched (WHIP) measures the average number of hits and walks allowed by a pitcher per inning. In a recent season, Burt recorded a WHIP of 1.315. Find the probability that, in a randomly selected inning, Burt allowed a total of 3 or more walks and hits. Use Excel to find the probability.
In baseball, the statistic Walks plus Hits per Inning Pitched (WHIP) measures the average number of...
The batting average of a baseball player is the number of “hits” divided by the number of “at-bats.” Recently, a certain major league player’s at-bats and corresponding hits were recorded for 200 consecutive games. The consecutive games span more than one season. Since each game is different, the number of at-bats and hits both vary. For this particular player, there were from zero to five at-bats. Thus, one can sort the 200 games into six categories: 0 at-bats 1 at-bat...
Option #1: Batting The batting average of a baseball player is the number of “hits” divided by the number of “at-bats.” Recently, a certain major league player’s at-bats and corresponding hits were recorded for 200 consecutive games. The consecutive games span more than one season. Since each game is different, the number of at-bats and hits both vary. For this particular player, there were from zero to five at-bats. Thus, one can sort the 200 games into six categories: 0...
4) A baseball player has a .300 batting average. Define H as the number of hits the batter gets in 4 at bats. a) What probability distribution does H follow? Give the name of the distribution and the value of its parameter(s) (2 points) b) Find the probability that the batter gets 3 hits in 4 at bats (1 point). c) Find the probability that the batter gets more than 1 hit in 4 at bats (1 point)
In the probability distribution to the? right, the random variable X represents the number of hits a baseball player obtained in a game over the course of a season. x P(x) 0 0.1665 1 0.3356 2 0.2873 3 0.1481 4 0.0366 5 0.0259 (1) Compute and interpret the mean of the random variable X. (2) Which of the following interpretations of the mean is? correct? A. In any number of? games, one would expect the mean number of hits per...
In a recent basketball season, a team scored 107.7 points per 100 possessions. Find the probability that, in a randomly selected interval of 100 possessions, the team scored exactly 112 points. Use Excel to find the probability Round your answer to three decimal places. Provide your answer below In a recent basketball season, a team scored 107.7 points per 100 possessions. Find the probability that, in a randomly selected interval of 100 possessions, the team scored exactly 112 points. Use...
One season, the average little league baseball game averaged 2 hours and 46 minutes (166 minutes) to complete. Assume the length of games follows the normal distribution with a standard deviation of 10 minutes. What is the probability that a randomly selected game will be completed in more than 180 minutes? (Round to four decimal places as needed.)
In a single season, an average of 1.6 home runs were hit per game. Assume the number of home runs per game follows the Poisson distribution.( round to 4 decimal places) a) What is the probability that 6 home runs will be hit in a randomly selected game? b) What is the probability that no home runs will be hit in a randomly selected game? c) What is the probability that more than 2 home runs will be hit in...
A brisk walk at 4 miles per hour burns an average of 280 calories per hour. If the standard deviation of the distribution is 5 calories, find the probability that a person who walks 1 hour at the rate of 4 miles per hour will burn the given number of calories. Assume the random variable is normally distributed. Refer to the table of values (Area Under the Standard Normal Distribution ) as needed. If necessary, round intermediate calculations to the nearest...
The accompanying data are the number of wins and the earned run averages (mean number of earned runs allowed per nine innings pitched) for eight baseball pitchers in a recent season. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value...
1. The average amount parents and children spent per child on back-to-school clothes in Autumn 2010 was $527. Assume the standard deviation is $160 and that the amount spent is normally distributed. What is the probability that the amount spent on a randomly selected child is more than $700? (Round to four decimal places) What is the probability that the amount spent on a randomly selected child is less than $100? (Round to four decimal places) What is the probability...