During the 2019 regular Major League baseball season there were 6755 home runs hit where the...
During the 2019 regular Major League baseball season there were 6755 home runs hit where the distance traveled was tracked. The distances of these home runs had a normal distribution with mean=400.21 feet and standard deviation 26.28 feet. Suppose we randomly select 2 home runs, and look at their distances traveled, D1 and D2. a) What is the probability that D1 > 428? b) What is the probability that D1 < 390? c) What is the expected value of D1...
A baseball player hit 65 home runs in a season of the 65 home runs, 25 went to right field, 18 went to right center field, 11 went to center field, 9 went to left center field, and 2 went to left field (a) What is the probability that a randomly selected home run was hit to right field? (b) What is the probability that a randomly selected home run was hit to left field? (c) Was it unusual for...
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 previous study of professional baseball players showed that the standard deviation of home runs hit by players who play a full season was 7.23 homeruns. If researchers want to conduct a new study to determine the number of homeruns a player hits in a year, how many players would they need in their study if they want to be within 1.5 home runs of the true mean? Use a 95% level of confidence?
In 2018 there were 2416 major League baseball games. The mean attendance was 28837 with a standard deviation of 10853. Let us assume that the attendance in any game is independent from the attendance in any other game. Suppose, we randomly select 289 games, with replacement, from the list of 2416 games and look at the attendance for each game selected. Let M be the random variable representing the mean attendance of the selected games. Let T = the random...
In 2018 there were 2416 major League baseball games. The mean attendance was 28837 with a standard deviation of 10853. Let us assume that the attendance in any game is independent from the attendance in any other game. Suppose, we randomly select 289 games, with replacement, from the list of 2416 games and look at the attendance for each game selected. Let M be the random variable representing the mean attendance of the selected games. Let T = the random...
During a particular baseball season, a team averaged 41,602 fans per home game. Suppose attendance during the season follows the normal probability distribution with a standard deviation of 9,440 per game. What is the probability that a randomly selected game during the season had an attendance greater than 50,000 people? A. 0.1867 B. 0.0417 C. 0.3255 D. 0.3986
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 260 feet and a standard deviation of 50 feet. Let X- distance in feet for a fly ball. In each appropriate box you are to enter either a rational number in "p/q" format or a decimal value accurate to the nearest 0.01 a. (3) X~(pick one) b·(35) For a random fly ball, what is the probability that this ball traveled...
240 Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 60 feet. Let X- distance in feet for a fly ball. feet and a standard deviation of In each appropriate box you are to enter either a rational number in "p/q" format or a decimal value accurate to the nearest 0.01 a. (396) X ~ |(pick one) b. (396) For a random fly ball, what is the probability that...
The total future years of productivity, X, of a draft round 1, of a major league baseball player has the density function: f(x)= x'e-* for OSXS and 0 otherwise. a)What is the probability that the player lasts no more than 5 years? b) What is the probability that X > 5? c) What is the probability that 3< x < 9? d) What is the expected future years of productivity, X, of a round 1 draft pick, of a major...