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For a p x q classification of bivariate data, the maximum number of conditional distributions is
- a)p
- b)p + q
- c)pq
- d)p or q
Correct answer is option 'B'. Can you explain this answer?
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For a p x q classification of bivariate data, the maximum number of co...
Explanation:
A conditional distribution is the probability distribution of one random variable given the value of another random variable. In a p x q classification of bivariate data, we have p rows and q columns. Each row represents one value of the first variable and each column represents one value of the second variable.
To find the maximum number of conditional distributions, we need to consider the number of possible combinations between the rows and columns.
- Option A (pb): This represents the number of possible conditional distributions if we only consider the rows. For each row, we can calculate a conditional distribution based on the values in the columns. Therefore, the total number of conditional distributions is p x b.
- Option B (pq): This represents the number of possible conditional distributions if we consider both the rows and columns. For each combination of a row and a column, we can calculate a conditional distribution. Therefore, the total number of conditional distributions is p x q.
- Option C (pqd): This represents the number of possible conditional distributions if we only consider the columns. For each column, we can calculate a conditional distribution based on the values in the rows. Therefore, the total number of conditional distributions is q x d.
- Option D (q): This represents the number of possible marginal distributions for the second variable. However, this does not give us the maximum number of conditional distributions.
Therefore, the correct answer is option B, which represents the maximum number of possible conditional distributions in a p x q classification of bivariate data.
A conditional distribution is the probability distribution of one random variable given the value of another random variable. In a p x q classification of bivariate data, we have p rows and q columns. Each row represents one value of the first variable and each column represents one value of the second variable.
To find the maximum number of conditional distributions, we need to consider the number of possible combinations between the rows and columns.
- Option A (pb): This represents the number of possible conditional distributions if we only consider the rows. For each row, we can calculate a conditional distribution based on the values in the columns. Therefore, the total number of conditional distributions is p x b.
- Option B (pq): This represents the number of possible conditional distributions if we consider both the rows and columns. For each combination of a row and a column, we can calculate a conditional distribution. Therefore, the total number of conditional distributions is p x q.
- Option C (pqd): This represents the number of possible conditional distributions if we only consider the columns. For each column, we can calculate a conditional distribution based on the values in the rows. Therefore, the total number of conditional distributions is q x d.
- Option D (q): This represents the number of possible marginal distributions for the second variable. However, this does not give us the maximum number of conditional distributions.
Therefore, the correct answer is option B, which represents the maximum number of possible conditional distributions in a p x q classification of bivariate data.
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For a p x q classification of bivariate data, the maximum number of co...
For p×q maximum number of cells is pq.
for p×q maximum number of conditional distribution is p+q
for p×q maximum number of conditional distribution is p+q
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For a p x q classification of bivariate data, the maximum number of conditional distributions isa)pb)p + qc)pqd)p or qCorrect answer is option 'B'. Can you explain this answer?
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For a p x q classification of bivariate data, the maximum number of conditional distributions isa)pb)p + qc)pqd)p or qCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about For a p x q classification of bivariate data, the maximum number of conditional distributions isa)pb)p + qc)pqd)p or qCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a p x q classification of bivariate data, the maximum number of conditional distributions isa)pb)p + qc)pqd)p or qCorrect answer is option 'B'. Can you explain this answer?.
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