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
2 at-bats
3 at-bats
4 at-bats
5 at-bats
Consider the games where the player had exactly four at-bats. A similar analysis can be done for each of the other at-bats category. The scatter plot below is of the four at-bats number of hits versus frequency.
To compare the results to the Binomial Distribution, complete the following:
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The batting average of a baseball player is the number of “hits” divided by the number of “at-bats.” Recently, a certain...
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...
The success average of a hockey player is the number of “points scored” divided by the number of “shots on goal.” Recently, a certain professional league player’s shots on goal and corresponding points scored were recorded for 400 consecutive games. The consecutive games span more than one season. Since each game is different, the number of shots and points scored both vary. For this particular player, there were from 0 to 15 shots. Thus, one can sort the more than...
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)
A baseball player, Mickey, who bats 310 (or .310) gets an average of 3.1 hits in ten at bats. We will assume that each time Mickey bats he has a 0.31 probability of getting a hit. This means Mickeys at bats are independent from one another. If we also assume Mickey bats 5 times during a game and that x= the number of hits that Mickey gets then the following probability mass function, p(x), and cumulative distribution function F(x) are...
A high school baseball player has a 0.278 batting average. In one game, he gets 7 at bats. What is the probability he will get at least 2 hits in the game? (Round answer to 3 decimal places) A certain kind of sheet metal has, on average, 8 defects per 15 square feet. Assuming a Poisson distribution, find the probability that a 19 square foot metal sheet has at least 9 defects. Round your answer to three decimal places.
Mark noticed that the probability that a certain player hits a home run in a single game is 0.175. Mark is interested in the variability of the number of home runs if this player plays 200 games. If Mark uses the normal approximation of the binomial distribution to model the number of home runs, what is the standard deviation for a total of 200 games? Answer choices are rounded to the hundredths place.
A high school baseball player has a 0.191 batting average. In one game, he gets 8 at bats. What is the probability he will get at least 6 hits in the game? Box 1: Enter your answer as an integer or decimal number. Examples: 3, 4, 5.5172 Enter DNE for Does Not Exist, oo for Infinity Submit License Question 14. Points possible: 1 Unlimited attempts. If a seed is planted, it has a 70% chance of growing into a healthy...
Question 1 A baseball player has a pr=.12 chance of success on any given plate appearance Suppose the player has 3 independent plate appearances. What is the probability the player will make zero successes during the 3 independent plate appearances ? Round your answer to four decimal places.Question 2A softball player has a p= .29 chance of success on any given plate appearance Suppose the player has 4 independent plate appearances. What is the probability the player will make at least one success during the 4...
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...
Number of Successes Frequency Relative Frequency 0 10 0.13889 1 29 0.40278 2 26 0.36111 3 4 0.05556 4 3 0.04167 Total 72 1.00 Mean of Successes 1.458 Using the frequency distribution, what is the tractor sales success average? In part 3, note that the numerator in the formula for the mean is the total number of successes. The total number of trials is the denominator of the formula for the mean multiplied by 4. What does this average mean?