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If x and y are two independent normal random distributions with mean and SD’s are (10, 5) and (15, 12) these mean and SD of (x y) is (a) (27, 15) (b) (10, 27) (c) (25,13) (d) (12,25) What will be the answer?
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If x and y are two independent normal random distributions with mean a...
Solution:
Given,
- Mean and SD for distribution x are 10 and 5 respectively.
- Mean and SD for distribution y are 15 and 12 respectively.
- x and y are independent normal random distributions.
We need to find the mean and SD of (x, y).
Mean of (x, y) = Mean of x + Mean of y = 10 + 15 = 25
SD of (x, y) = sqrt(SD of x^2 + SD of y^2) = sqrt(25 + 144) = sqrt(169) = 13
Therefore, the mean and SD of (x, y) are (25, 13).
Hence, the correct answer is option (c).
Explanation:
To find the mean and SD of (x, y), we need to use the properties of independent normal distributions. When two normal distributions are independent, their means add up, and the variances (or SD's) add up. Therefore, we can find the mean and SD of (x, y) as follows:
- Mean of (x, y) = Mean of x + Mean of y
- SD of (x, y) = sqrt(SD of x^2 + SD of y^2)
Using the given mean and SD for x and y, we can substitute the values in the above formulas to get the required answer.
Given,
- Mean and SD for distribution x are 10 and 5 respectively.
- Mean and SD for distribution y are 15 and 12 respectively.
- x and y are independent normal random distributions.
We need to find the mean and SD of (x, y).
Mean of (x, y) = Mean of x + Mean of y = 10 + 15 = 25
SD of (x, y) = sqrt(SD of x^2 + SD of y^2) = sqrt(25 + 144) = sqrt(169) = 13
Therefore, the mean and SD of (x, y) are (25, 13).
Hence, the correct answer is option (c).
Explanation:
To find the mean and SD of (x, y), we need to use the properties of independent normal distributions. When two normal distributions are independent, their means add up, and the variances (or SD's) add up. Therefore, we can find the mean and SD of (x, y) as follows:
- Mean of (x, y) = Mean of x + Mean of y
- SD of (x, y) = sqrt(SD of x^2 + SD of y^2)
Using the given mean and SD for x and y, we can substitute the values in the above formulas to get the required answer.
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If x and y are two independent normal random distributions with mean and SD’s are (10, 5) and (15, 12) these mean and SD of (x y) is (a) (27, 15) (b) (10, 27) (c) (25,13) (d) (12,25) What will be the answer?
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If x and y are two independent normal random distributions with mean and SD’s are (10, 5) and (15, 12) these mean and SD of (x y) is (a) (27, 15) (b) (10, 27) (c) (25,13) (d) (12,25) What will be the 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 and y are two independent normal random distributions with mean and SD’s are (10, 5) and (15, 12) these mean and SD of (x y) is (a) (27, 15) (b) (10, 27) (c) (25,13) (d) (12,25) What will be the answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x and y are two independent normal random distributions with mean and SD’s are (10, 5) and (15, 12) these mean and SD of (x y) is (a) (27, 15) (b) (10, 27) (c) (25,13) (d) (12,25) What will be the answer?.
If x and y are two independent normal random distributions with mean and SD’s are (10, 5) and (15, 12) these mean and SD of (x y) is (a) (27, 15) (b) (10, 27) (c) (25,13) (d) (12,25) What will be the 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 and y are two independent normal random distributions with mean and SD’s are (10, 5) and (15, 12) these mean and SD of (x y) is (a) (27, 15) (b) (10, 27) (c) (25,13) (d) (12,25) What will be the answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x and y are two independent normal random distributions with mean and SD’s are (10, 5) and (15, 12) these mean and SD of (x y) is (a) (27, 15) (b) (10, 27) (c) (25,13) (d) (12,25) What will be the answer?.
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