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Let (n, p) and λ be the parameters of binomial and poisson distributions respectively. Consider the statements
P. The mean of the binomial distribution is np
Q. The standard deviation of the binomial distribution is np (1 - p)
R. The mean of the poisson distribution is λ
S The variance of the poisson distribution is λ
Which of the following group of statements is correct?
P. The mean of the binomial distribution is np
Q. The standard deviation of the binomial distribution is np (1 - p)
R. The mean of the poisson distribution is λ
S The variance of the poisson distribution is λ
Which of the following group of statements is correct?
- a)P,R,S
- b)P,Q,S
- c)P,Q,R
- d)P,Q,R,S
Correct answer is option 'A'. Can you explain this answer?
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Let (n, p) and λ be the parameters of binomial and poisson dist...
Standard deviation of binomial distribution is
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Let (n, p) and λ be the parameters of binomial and poisson dist...
Standard deviation of binomial distribution is
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Let (n, p) and λ be the parameters of binomial and poisson dist...
R be two integers such that n > p > r > 0.
To prove that (n + p) choose r is equal to (n choose r) + (p choose r), we can use the definition of combinations.
According to the definition, (n choose r) represents the number of ways to choose r objects from a set of n objects, and (p choose r) represents the number of ways to choose r objects from a set of p objects.
Now, let's consider (n + p) choose r. This represents the number of ways to choose r objects from a set of (n + p) objects.
To count the number of ways to choose r objects from a set of (n + p) objects, we can divide the objects into two groups: n objects and p objects.
There are two cases to consider:
Case 1: We choose r objects only from the n objects group.
In this case, the number of ways to choose r objects from the n objects group is (n choose r), as we discussed earlier.
Case 2: We choose r objects only from the p objects group.
In this case, the number of ways to choose r objects from the p objects group is (p choose r).
Since these two cases are mutually exclusive (we cannot choose r objects from both groups simultaneously), we can add the number of ways from each case to get the total number of ways to choose r objects from the set of (n + p) objects.
Therefore, (n + p) choose r = (n choose r) + (p choose r).
This completes the proof.
To prove that (n + p) choose r is equal to (n choose r) + (p choose r), we can use the definition of combinations.
According to the definition, (n choose r) represents the number of ways to choose r objects from a set of n objects, and (p choose r) represents the number of ways to choose r objects from a set of p objects.
Now, let's consider (n + p) choose r. This represents the number of ways to choose r objects from a set of (n + p) objects.
To count the number of ways to choose r objects from a set of (n + p) objects, we can divide the objects into two groups: n objects and p objects.
There are two cases to consider:
Case 1: We choose r objects only from the n objects group.
In this case, the number of ways to choose r objects from the n objects group is (n choose r), as we discussed earlier.
Case 2: We choose r objects only from the p objects group.
In this case, the number of ways to choose r objects from the p objects group is (p choose r).
Since these two cases are mutually exclusive (we cannot choose r objects from both groups simultaneously), we can add the number of ways from each case to get the total number of ways to choose r objects from the set of (n + p) objects.
Therefore, (n + p) choose r = (n choose r) + (p choose r).
This completes the proof.
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Let (n, p) and λ be the parameters of binomial and poisson distributions respectively. Consider the statementsP. The mean of the binomial distribution is npQ. The standard deviation of the binomial distribution is np (1 - p)R. The mean of the poisson distribution isλS The variance of the poisson distribution is λWhich of the following group of statements is correct?a)P,R,Sb)P,Q,Sc)P,Q,Rd)P,Q,R,SCorrect answer is option 'A'. Can you explain this answer?
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Let (n, p) and λ be the parameters of binomial and poisson distributions respectively. Consider the statementsP. The mean of the binomial distribution is npQ. The standard deviation of the binomial distribution is np (1 - p)R. The mean of the poisson distribution isλS The variance of the poisson distribution is λWhich of the following group of statements is correct?a)P,R,Sb)P,Q,Sc)P,Q,Rd)P,Q,R,SCorrect answer is option 'A'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let (n, p) and λ be the parameters of binomial and poisson distributions respectively. Consider the statementsP. The mean of the binomial distribution is npQ. The standard deviation of the binomial distribution is np (1 - p)R. The mean of the poisson distribution isλS The variance of the poisson distribution is λWhich of the following group of statements is correct?a)P,R,Sb)P,Q,Sc)P,Q,Rd)P,Q,R,SCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let (n, p) and λ be the parameters of binomial and poisson distributions respectively. Consider the statementsP. The mean of the binomial distribution is npQ. The standard deviation of the binomial distribution is np (1 - p)R. The mean of the poisson distribution isλS The variance of the poisson distribution is λWhich of the following group of statements is correct?a)P,R,Sb)P,Q,Sc)P,Q,Rd)P,Q,R,SCorrect answer is option 'A'. Can you explain this answer?.
Let (n, p) and λ be the parameters of binomial and poisson distributions respectively. Consider the statementsP. The mean of the binomial distribution is npQ. The standard deviation of the binomial distribution is np (1 - p)R. The mean of the poisson distribution isλS The variance of the poisson distribution is λWhich of the following group of statements is correct?a)P,R,Sb)P,Q,Sc)P,Q,Rd)P,Q,R,SCorrect answer is option 'A'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let (n, p) and λ be the parameters of binomial and poisson distributions respectively. Consider the statementsP. The mean of the binomial distribution is npQ. The standard deviation of the binomial distribution is np (1 - p)R. The mean of the poisson distribution isλS The variance of the poisson distribution is λWhich of the following group of statements is correct?a)P,R,Sb)P,Q,Sc)P,Q,Rd)P,Q,R,SCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let (n, p) and λ be the parameters of binomial and poisson distributions respectively. Consider the statementsP. The mean of the binomial distribution is npQ. The standard deviation of the binomial distribution is np (1 - p)R. The mean of the poisson distribution isλS The variance of the poisson distribution is λWhich of the following group of statements is correct?a)P,R,Sb)P,Q,Sc)P,Q,Rd)P,Q,R,SCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Let (n, p) and λ be the parameters of binomial and poisson distributions respectively. Consider the statementsP. The mean of the binomial distribution is npQ. The standard deviation of the binomial distribution is np (1 - p)R. The mean of the poisson distribution isλS The variance of the poisson distribution is λWhich of the following group of statements is correct?a)P,R,Sb)P,Q,Sc)P,Q,Rd)P,Q,R,SCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics.
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Let (n, p) and λ be the parameters of binomial and poisson distributions respectively. Consider the statementsP. The mean of the binomial distribution is npQ. The standard deviation of the binomial distribution is np (1 - p)R. The mean of the poisson distribution isλS The variance of the poisson distribution is λWhich of the following group of statements is correct?a)P,R,Sb)P,Q,Sc)P,Q,Rd)P,Q,R,SCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Let (n, p) and λ be the parameters of binomial and poisson distributions respectively. Consider the statementsP. The mean of the binomial distribution is npQ. The standard deviation of the binomial distribution is np (1 - p)R. The mean of the poisson distribution isλS The variance of the poisson distribution is λWhich of the following group of statements is correct?a)P,R,Sb)P,Q,Sc)P,Q,Rd)P,Q,R,SCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Let (n, p) and λ be the parameters of binomial and poisson distributions respectively. Consider the statementsP. The mean of the binomial distribution is npQ. The standard deviation of the binomial distribution is np (1 - p)R. The mean of the poisson distribution isλS The variance of the poisson distribution is λWhich of the following group of statements is correct?a)P,R,Sb)P,Q,Sc)P,Q,Rd)P,Q,R,SCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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