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If x is a binomial variable with parameters n, p then x can assume A. Any value between 0 and n B. Any value between 0 and n both inclusive C. Any whole number between 0 and n both inclusive D. Any number between 0 and infinity What is the answer with an explanation?
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If x is a binomial variable with parameters n, p then x can assume A. ...
Binomial Distribution
Binomial distribution is a type of probability distribution that describes the number of successes in a fixed number of independent trials, where the probability of success remains the same for each trial.
Parameters of Binomial Distribution
The binomial distribution is characterized by two parameters:
- n: the number of trials
- p: the probability of success in each trial
Possible Values of Binomial Variable
If x is a binomial variable with parameters n, p, then x can assume:
A. Any value between 0 and n
B. Any value between 0 and n both inclusive
C. Any whole number between 0 and n both inclusive
D. Any number between 0 and infinity
Answer
The correct answer is C. Any whole number between 0 and n both inclusive.
Explanation
The binomial variable x represents the number of successes in n independent trials, where the probability of success in each trial is p. Since x represents a count of successes, it can only take on whole number values. Therefore, option A and option D are incorrect.
Option B is partially correct as it includes values between 0 and n, but it is not clear whether it includes whole numbers only.
Option C is the correct answer as it includes all possible whole number values between 0 and n, including 0 and n themselves.
Binomial distribution is a type of probability distribution that describes the number of successes in a fixed number of independent trials, where the probability of success remains the same for each trial.
Parameters of Binomial Distribution
The binomial distribution is characterized by two parameters:
- n: the number of trials
- p: the probability of success in each trial
Possible Values of Binomial Variable
If x is a binomial variable with parameters n, p, then x can assume:
A. Any value between 0 and n
B. Any value between 0 and n both inclusive
C. Any whole number between 0 and n both inclusive
D. Any number between 0 and infinity
Answer
The correct answer is C. Any whole number between 0 and n both inclusive.
Explanation
The binomial variable x represents the number of successes in n independent trials, where the probability of success in each trial is p. Since x represents a count of successes, it can only take on whole number values. Therefore, option A and option D are incorrect.
Option B is partially correct as it includes values between 0 and n, but it is not clear whether it includes whole numbers only.
Option C is the correct answer as it includes all possible whole number values between 0 and n, including 0 and n themselves.
Community Answer
If x is a binomial variable with parameters n, p then x can assume A. ...
Explanation
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If x is a binomial variable with parameters n, p then x can assume A. Any value between 0 and n B. Any value between 0 and n both inclusive C. Any whole number between 0 and n both inclusive D. Any number between 0 and infinity What is the answer with an explanation?
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