A state lottery randomly chooses 5 balls numbered from 1 through 44 without replacement. You choose 5 numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If​ s

MATLAB: An Introduction with Applications
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A state lottery randomly chooses
5
balls numbered from
1
through
44
without replacement. You choose
5
numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If​ so, identify a​ success, specify the values​ n, p, and q and list the possible values of the random variable x.
 
 
 
Is the experiment​ binomial?
 
 
A.
​Yes, there are a fixed number of trials and the trials are independent of each other.
 
B.
​Yes, the probability of success is the same for each trial.
 
C.
​No, because the probability of success is different for each trial.
 
D.
​No, there are more than two outcomes for each trial.
Identify a success. Choose the correct answer below.
 
 
A.
A success is matching one of the numbers in the lottery.
 
B.
A success is matching all of the numbers in the lottery.
 
C.
A success is the number of matches on your ticket to the numbers drawn in the lottery.
 
D.
The experiment is not binomial.
Specify the values​ n, p, and q. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
 
 
A.
n=enter your response here​,
p=enter your response here​,
q=enter your response here
​(Type integers or​ decimals.)
 
B.
The experiment is not binomial.
List the possible values of the random variable x. Choose the correct answer below.
 
 
A.
The possible values for x are​ 1, 2,​ 3, 4,​ ...,
44.
 
B.
The possible values for x are​ 1, 2,​ ...,
5.
 
C.
The experiment is not binomial.
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