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If x is a binomial variate with parameter 15 and 1/3, what is the value of mode of the distribution
- a)5 and 6.
- b)5.
- c)5.50.
- d)6.
Correct answer is option 'B'. Can you explain this answer?
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If x is a binomial variate with parameter 15 and 1/3, what is the valu...
The mode of a distribution is the value that occurs most frequently. In the case of a binomial distribution, the mode can be found using the formula:
Mode = ⌊(n + 1) * p⌋
where n is the number of trials and p is the probability of success.
In this question, the parameter given for the binomial distribution is 15 and 1/3. This means that there are 15 trials and the probability of success is 1/3.
To find the mode, we substitute these values into the formula:
Mode = ⌊(15 + 1) * (1/3)⌋
Simplifying this expression:
Mode = ⌊(16/3)⌋
Now, we need to find the greatest integer less than or equal to 16/3. This is equivalent to finding the largest whole number that is less than or equal to 16/3.
The largest whole number that is less than 16/3 is 5. Therefore, the mode of the distribution is 5.
Hence, option B, 5, is the correct answer.
Mode = ⌊(n + 1) * p⌋
where n is the number of trials and p is the probability of success.
In this question, the parameter given for the binomial distribution is 15 and 1/3. This means that there are 15 trials and the probability of success is 1/3.
To find the mode, we substitute these values into the formula:
Mode = ⌊(15 + 1) * (1/3)⌋
Simplifying this expression:
Mode = ⌊(16/3)⌋
Now, we need to find the greatest integer less than or equal to 16/3. This is equivalent to finding the largest whole number that is less than or equal to 16/3.
The largest whole number that is less than 16/3 is 5. Therefore, the mode of the distribution is 5.
Hence, option B, 5, is the correct answer.
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If x is a binomial variate with parameter 15 and 1/3, what is the value of mode of the distributiona)5 and 6.b)5.c)5.50.d)6.Correct answer is option 'B'. Can you explain this answer?
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If x is a binomial variate with parameter 15 and 1/3, what is the value of mode of the distributiona)5 and 6.b)5.c)5.50.d)6.Correct answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If x is a binomial variate with parameter 15 and 1/3, what is the value of mode of the distributiona)5 and 6.b)5.c)5.50.d)6.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x is a binomial variate with parameter 15 and 1/3, what is the value of mode of the distributiona)5 and 6.b)5.c)5.50.d)6.Correct answer is option 'B'. Can you explain this answer?.
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