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Which of the following statements is TRUE? O The binomial distribution with parameters n and p may be approximated by a normal distribution with the same mean and variance, N(npq, np2), when both np and ng are at least 5. Here q = 1 - p. O The Poisson distribution with parameter u may be approximated by a normal distribution with the same mean and variance, N(u, u), when u is at least 30 O The binomial distribution with parameters n and p may be approximated by a normal distribution with the same mean and variance, N(np, npq), when both np and ng are at most 5. Here q=1 - p. O The Poisson distribution with parameter u may be approximated by a normal distribution with the same mean and variance, N(μ, u), only when ju is at most 30.

Which of the following statements is TRUE? O The binomial distribution with parameters n and p may be approximated by a normal distribution with the same mean and variance, N(npq, np2), when both np and ng are at least 5. Here q = 1 - p. O The Poisson distribution with parameter u may be approximated by a normal distribution with the same mean and variance, N(u, u), when u is at least 30 O The binomial distribution with parameters n and p may be approximated by a normal distribution with the same mean and variance, N(np, npq), when both np and ng are at most 5. Here q=1 - p. O The Poisson distribution with parameter u may be approximated by a normal distribution with the same mean and variance, N(μ, u), only when ju is at most 30.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Which of the following statements is TRUE? O The binomial distribution with parameters n and p may be approximated by a normal distribution with the same mean and variance, N(npq, np2), when both np and ng are at least 5. Here q = 1 - p. The Poisson distribution with parameter u may be approximated by a normal distribution with the same mean and variance, N(μ, μ), when u is at least 30. O The binomial distribution with parameters n and p may be approximated by a normal distribution with the same mean and variance, N(np, npq), when both np and nq are at most 5. Here q = 1 - p. O The Poisson distribution with parameter μ may be approximated by a normal distribution with the same mean and variance, N(μ, μ), only when u is at most 30.
Transcribed Image Text:Which of the following statements is TRUE? O The binomial distribution with parameters n and p may be approximated by a normal distribution with the same mean and variance, N(npq, np2), when both np and ng are at least 5. Here q = 1 - p. The Poisson distribution with parameter u may be approximated by a normal distribution with the same mean and variance, N(μ, μ), when u is at least 30. O The binomial distribution with parameters n and p may be approximated by a normal distribution with the same mean and variance, N(np, npq), when both np and nq are at most 5. Here q = 1 - p. O The Poisson distribution with parameter μ may be approximated by a normal distribution with the same mean and variance, N(μ, μ), only when u is at most 30.
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