Respuesta :
Answer:
a) Binomial probability
b) There is a 3.97% probability of getting three hits in a particular game.
c) There is a 28.62% probability of not getting any hits in a game.
d) 71.38% probability of getting at least one hit.
Step-by-step explanation:
a. This is an example of what type of probability?
For each time he goes to bat, there are only two possible outcomes. Either he gets a hit, or he does not. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinatios of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
In this problem we have that:
[tex]n = 3, p = 0.341[/tex]
b. What is the probability of getting three hits in a particular game?
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.341)^{3}.(0.659)^{0} = 0.0397[/tex]
There is a 3.97% probability of getting three hits in a particular game.
c. What is the probability of not getting any hits in a game?
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.341)^{0}.(0.659)^{3} = 0.2862[/tex]
There is a 28.62% probability of not getting any hits in a game.
d. What is the probability of getting at least one hit?
Either he gets at least one hit, or he does not get any. The sum of the probabilities of these events is decimal 1. So:
[tex]P(X = 0) + P(X \geq 1) = 1[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2862 = 0.7138[/tex]
There is a 71.38% probability of getting at least one hit.
Major League Baseball season.
The DJ Le Mahieu and  Colorado Rockies is highest batting score of the 2016 league for the basketball season. The average was 0.348 and take a chance of getting a hit for each time he bats. The assumption is that the particular game has of three players. Hensel giving the answer
Answer is the primality is binomial, 3.9% of three hits, 28.62% of not getting and 71.3% least one.
The bionomical probability is the probability of the number of repeated trials in an experiment that is having two possible outcomes.
The chance of getting a three hits direct is 3.90 percent and that of not getting any hits at all is 28.62% and hence the chance of getting a single hit is at least 71.3%.
Find out more information about the major league of baseball season.
brainly.com/question/1455095.
