Consider a binomial random variable x with n = 25 and p = 0.2. USE SALT Use Table 1 in Appendix I to find the exact value for the binomial probability. (Round your answer to three decimal places.) P(3 ≤ x ≤ 7) = Approximate the probability P(3 ≤ x ≤ 7) using the normal approximation with the correction for continuity. (Round your answer to four decimal places.) P(3 ≤ x ≤ 7) = Compare your answers. O The answers are very close since there is less than a 0.01 difference between them. O The answers are not very close since there is more than a 0.01 difference between them.
Consider a binomial random variable x with n = 25 and p = 0.2. USE SALT Use Table 1 in Appendix I to find the exact value for the binomial probability. (Round your answer to three decimal places.) P(3 ≤ x ≤ 7) = Approximate the probability P(3 ≤ x ≤ 7) using the normal approximation with the correction for continuity. (Round your answer to four decimal places.) P(3 ≤ x ≤ 7) = Compare your answers. O The answers are very close since there is less than a 0.01 difference between them. O The answers are not very close since there is more than a 0.01 difference between them.
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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Transcribed Image Text:Consider a binomial random variable x with n = 25 and p = 0.2.
USE SALT
Use Table 1 in Appendix I to find the exact value for the binomial probability. (Round your answer to three decimal places.)
P(3 ≤ x ≤ 7) =
Approximate the probability P(3 ≤ x ≤ 7) using the normal approximation with the correction for continuity. (Round your answer to four decimal places.)
P(3 ≤ x ≤ 7) =
Compare your answers.
O The answers are very close since there is less than a 0.01 difference between them.
O The answers are not very close since there is more than a 0.01 difference between them.
Expert Solution
Step 1
We have given that
n = 25, p = 0.2
X ~Binomial(n, p)
X ~ Binomial (25, 0.2)
The PMF of the Binomial distribution is
P(X= x) = (nCx ) px (1 - p)n-x x = 0,1,2...
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Solved in 4 steps with 1 images
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