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ASK YOUR TEACHER PRACTICE ANOTHER Suppose that x has a binomial distribution with n = 50 and p = 0.6, so that u = np = 30 and o = Vnp(1 - p) = 3.4641. Approximate the following probabilities using the normal approximation with the continuity correction. (Hint: 24 < x < 36 is the same as 25 s XS 35. Round your answers to four decimal places.) (a) P(x = 30) 0.1114 (b). P(x = 24) (c) P(x s 24 (d) P(24 s xs 36) (e) P(24 < x < 36)

ASK YOUR TEACHER PRACTICE ANOTHER Suppose that x has a binomial distribution with n = 50 and p = 0.6, so that u = np = 30 and o = Vnp(1 - p) = 3.4641. Approximate the following probabilities using the normal approximation with the continuity correction. (Hint: 24 < x < 36 is the same as 25 s XS 35. Round your answers to four decimal places.) (a) P(x = 30) 0.1114 (b). P(x = 24) (c) P(x s 24 (d) P(24 s xs 36) (e) P(24 < x < 36)

MATLAB: An Introduction with Applications
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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Suppose that \( x \) has a binomial distribution with \( n = 50 \) and \( p = 0.6 \), so that \( \mu = np = 30 \) and \( \sigma = \sqrt{np(1-p)} = 3.4641 \). Approximate the following probabilities using the normal approximation with the continuity correction. (Hint: \( 24 < x < 36 \) is the same as \( 24.5 \leq x \leq 35.5 \). Round your answers to four decimal places.) (a) \( P(x = 30) \) 0.1114 (b) \( P(x = 24) \) (c) \( P(x \leq 24) \) (d) \( P(24 \leq x \leq 36) \) (e) \( P(24 < x < 36) \)
Transcribed Image Text:Suppose that \( x \) has a binomial distribution with \( n = 50 \) and \( p = 0.6 \), so that \( \mu = np = 30 \) and \( \sigma = \sqrt{np(1-p)} = 3.4641 \). Approximate the following probabilities using the normal approximation with the continuity correction. (Hint: \( 24 < x < 36 \) is the same as \( 24.5 \leq x \leq 35.5 \). Round your answers to four decimal places.) (a) \( P(x = 30) \) 0.1114 (b) \( P(x = 24) \) (c) \( P(x \leq 24) \) (d) \( P(24 \leq x \leq 36) \) (e) \( P(24 < x < 36) \)
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