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If a random variable x assum es the values x1, x2, x3, x4 with c orresponding probabilities p1, p2 , p3, p4 then the expec ted value of x is
- a)p1 + p2 + p3 + p4
- b)x1 p1 + x2 p3 + x3 p2 + x4 p4
- c)p1x1 + p2x2 + p3x3 + p4x4
- d)none of these.
Correct answer is option 'C'. Can you explain this answer?
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If a random variable x assum es the values x1, x2, x3, x4 with c orres...
Expected Value of a Random Variable
The expected value of a random variable is a measure of the center of the distribution of the variable. It is calculated by taking the sum of the products of each possible value of the random variable and its corresponding probability.
Calculation
- Let the random variable x assume values x1, x2, x3, x4 with corresponding probabilities p1, p2, p3, p4.
- The expected value of x is calculated as E(x) = p1*x1 + p2*x2 + p3*x3 + p4*x4.
Explanation
- Each value of the random variable is multiplied by its probability and then summed up to get the expected value.
- This calculation gives us a weighted average of all possible values of the random variable, taking into account their respective probabilities.
- Therefore, option 'C' (p1x1 + p2x2 + p3x3 + p4x4) is the correct formula for calculating the expected value of the random variable x.
The expected value of a random variable is a measure of the center of the distribution of the variable. It is calculated by taking the sum of the products of each possible value of the random variable and its corresponding probability.
Calculation
- Let the random variable x assume values x1, x2, x3, x4 with corresponding probabilities p1, p2, p3, p4.
- The expected value of x is calculated as E(x) = p1*x1 + p2*x2 + p3*x3 + p4*x4.
Explanation
- Each value of the random variable is multiplied by its probability and then summed up to get the expected value.
- This calculation gives us a weighted average of all possible values of the random variable, taking into account their respective probabilities.
- Therefore, option 'C' (p1x1 + p2x2 + p3x3 + p4x4) is the correct formula for calculating the expected value of the random variable x.
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If a random variable x assum es the values x1, x2, x3, x4 with c orresponding probabilities p1, p2 , p3, p4 then the expec ted value of x isa)p1 + p2 + p3 + p4b)x1 p1 + x2 p3 + x3 p2 + x4 p4c)p1x1 + p2x2 + p3x3 + p4x4d)none of these.Correct answer is option 'C'. Can you explain this answer?
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If a random variable x assum es the values x1, x2, x3, x4 with c orresponding probabilities p1, p2 , p3, p4 then the expec ted value of x isa)p1 + p2 + p3 + p4b)x1 p1 + x2 p3 + x3 p2 + x4 p4c)p1x1 + p2x2 + p3x3 + p4x4d)none of these.Correct answer is option 'C'. 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 a random variable x assum es the values x1, x2, x3, x4 with c orresponding probabilities p1, p2 , p3, p4 then the expec ted value of x isa)p1 + p2 + p3 + p4b)x1 p1 + x2 p3 + x3 p2 + x4 p4c)p1x1 + p2x2 + p3x3 + p4x4d)none of these.Correct answer is option 'C'. 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 a random variable x assum es the values x1, x2, x3, x4 with c orresponding probabilities p1, p2 , p3, p4 then the expec ted value of x isa)p1 + p2 + p3 + p4b)x1 p1 + x2 p3 + x3 p2 + x4 p4c)p1x1 + p2x2 + p3x3 + p4x4d)none of these.Correct answer is option 'C'. Can you explain this answer?.
If a random variable x assum es the values x1, x2, x3, x4 with c orresponding probabilities p1, p2 , p3, p4 then the expec ted value of x isa)p1 + p2 + p3 + p4b)x1 p1 + x2 p3 + x3 p2 + x4 p4c)p1x1 + p2x2 + p3x3 + p4x4d)none of these.Correct answer is option 'C'. 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 a random variable x assum es the values x1, x2, x3, x4 with c orresponding probabilities p1, p2 , p3, p4 then the expec ted value of x isa)p1 + p2 + p3 + p4b)x1 p1 + x2 p3 + x3 p2 + x4 p4c)p1x1 + p2x2 + p3x3 + p4x4d)none of these.Correct answer is option 'C'. 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 a random variable x assum es the values x1, x2, x3, x4 with c orresponding probabilities p1, p2 , p3, p4 then the expec ted value of x isa)p1 + p2 + p3 + p4b)x1 p1 + x2 p3 + x3 p2 + x4 p4c)p1x1 + p2x2 + p3x3 + p4x4d)none of these.Correct answer is option 'C'. Can you explain this answer?.
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