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If x is a binomial variable with parameters n and 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.
Correct answer is option 'C'. Can you explain this answer?
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If x is a binomial variable with parameters n and p, then x can assume...
Binomial Distribution. A binomial random variable is the number of successes x in n repeated trials of a binomial experiment. The probability distribution of a binomial random variable is called a binomial distribution. Suppose we flip a coin two times and count the number of heads (successes).
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If x is a binomial variable with parameters n and p, then x can assume...
Explanation:
A binomial variable is a discrete random variable that takes only two values, usually represented as success or failure. The parameters of the binomial distribution are n, the number of trials, and p, the probability of success.
The question asks about the possible values that x, a binomial variable with parameters n and p, can assume.
- Option A: any value between 0 and n
This option is incorrect because a binomial variable can only take whole number values.
- Option B: any value between 0 and n, both inclusive
This option is also incorrect because it includes non-whole number values, which a binomial variable cannot take.
- Option C: any whole number between 0 and n, both inclusive
This option is correct because a binomial variable can only take whole number values, and it can take any value between 0 and n, inclusive.
- Option D: any number between 0 and infinity
This option is incorrect because a binomial variable is a discrete random variable, meaning it can only take a countable number of values, not any number between 0 and infinity.
Therefore, the correct answer is option C: any whole number between 0 and n, both inclusive.
A binomial variable is a discrete random variable that takes only two values, usually represented as success or failure. The parameters of the binomial distribution are n, the number of trials, and p, the probability of success.
The question asks about the possible values that x, a binomial variable with parameters n and p, can assume.
- Option A: any value between 0 and n
This option is incorrect because a binomial variable can only take whole number values.
- Option B: any value between 0 and n, both inclusive
This option is also incorrect because it includes non-whole number values, which a binomial variable cannot take.
- Option C: any whole number between 0 and n, both inclusive
This option is correct because a binomial variable can only take whole number values, and it can take any value between 0 and n, inclusive.
- Option D: any number between 0 and infinity
This option is incorrect because a binomial variable is a discrete random variable, meaning it can only take a countable number of values, not any number between 0 and infinity.
Therefore, the correct answer is option C: any whole number between 0 and n, both inclusive.
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If x is a binomial variable with parameters n and p, then x can assumea)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.Correct answer is option 'C'. Can you explain this answer?
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