Suppose that X is a Poisson random variable with 2 = 45. Round your answers to 3 decimal places (e.g. 98.765). (a) Compute the exact probability that X is less than 30. (b) Use normal approximation to approximate the probability that X is less than 30. Without continuity correction: i With continuity correction: (c) Use normal approximation to approximate the probability that 60 < X < 90. Without continuity correction: i

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Suppose that X is a Poisson random variable with 2 = 45.
Round your answers to 3 decimal places (e.g. 98.765).
(a) Compute the exact probability that X is less than 30.
(b) Use normal approximation to approximate the probability that X is less than 30.
Without continuity correction: i
With continuity correction: i
(c) Use normal approximation to approximate the probability that 60 < X < 90.
Without continuity correction: i
With continuity correction: i
Statistical Tables and Charts
Transcribed Image Text:Suppose that X is a Poisson random variable with 2 = 45. Round your answers to 3 decimal places (e.g. 98.765). (a) Compute the exact probability that X is less than 30. (b) Use normal approximation to approximate the probability that X is less than 30. Without continuity correction: i With continuity correction: i (c) Use normal approximation to approximate the probability that 60 < X < 90. Without continuity correction: i With continuity correction: i Statistical Tables and Charts
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