Let x be a binomial random variable with n = 25 and p = 0.1. Calculate P(x s 3) using Table 1 to obtain the exact binomial probability. (Round your answer to three decimal places.) P(x s 3) = Calculate P(x s 3) using the Poisson approximation. (Round your answer to three decimal places.) P(x s 3) = Compare your results. Is the approximation accurate? O Yes, the approximation is accurate. The difference between the values in parts (a) and (b) is less than 0.01. O No, the approximation is not accurate. The difference between the values in parts (a) and (b) is at least 0.01. You may need to use the appropriate appendix table or technology to answer this question.
Let x be a binomial random variable with n = 25 and p = 0.1. Calculate P(x s 3) using Table 1 to obtain the exact binomial probability. (Round your answer to three decimal places.) P(x s 3) = Calculate P(x s 3) using the Poisson approximation. (Round your answer to three decimal places.) P(x s 3) = Compare your results. Is the approximation accurate? O Yes, the approximation is accurate. The difference between the values in parts (a) and (b) is less than 0.01. O No, the approximation is not accurate. The difference between the values in parts (a) and (b) is at least 0.01. You may need to use the appropriate appendix table or technology to answer this question.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Let \( x \) be a binomial random variable with \( n = 25 \) and \( p = 0.1 \).
Calculate \( P(x \leq 3) \) using Table 1 to obtain the exact binomial probability. (Round your answer to three decimal places.)
\[ P(x \leq 3) = \_\_\_\_\_ \]
Calculate \( P(x \leq 3) \) using the Poisson approximation. (Round your answer to three decimal places.)
\[ P(x \leq 3) = \_\_\_\_\_ \]
Compare your results. Is the approximation accurate?
- ○ Yes, the approximation is accurate. The difference between the values in parts (a) and (b) is less than 0.01.
- ○ No, the approximation is not accurate. The difference between the values in parts (a) and (b) is at least 0.01.
You may need to use the appropriate appendix table or technology to answer this question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ef14032-3820-4650-9b75-4754bc51e90b%2F9a85797f-a836-445f-a222-c3e84fbac05e%2Fnnncov_processed.png&w=3840&q=75)
Transcribed Image Text:Let \( x \) be a binomial random variable with \( n = 25 \) and \( p = 0.1 \).
Calculate \( P(x \leq 3) \) using Table 1 to obtain the exact binomial probability. (Round your answer to three decimal places.)
\[ P(x \leq 3) = \_\_\_\_\_ \]
Calculate \( P(x \leq 3) \) using the Poisson approximation. (Round your answer to three decimal places.)
\[ P(x \leq 3) = \_\_\_\_\_ \]
Compare your results. Is the approximation accurate?
- ○ Yes, the approximation is accurate. The difference between the values in parts (a) and (b) is less than 0.01.
- ○ No, the approximation is not accurate. The difference between the values in parts (a) and (b) is at least 0.01.
You may need to use the appropriate appendix table or technology to answer this question.
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