Applying the continuity correction to use the normal approximation to the binomial distribution, it was determined that the requested probability is P(x ≥ 44.5). Recall the formula to convert a random variable xto the standard normal random variable, z, given the mean u, and standard deviation o.x-μσRecall that the mean was found to be μ = 30, and the standard deviation was found to be o = √24. Calculate the standard normal random variable z for x = 44.5, rounding the result to two decimal places.x-μJ44.5 -Z ==z =√24

we know, z score: z = x-μσ μ=30σ=24 Find P(x≥44.5)

Answered: Applying the continuity correction to…

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 in a local Kindergarten through 12th grade (K -12) school district, 49% of the population favor a charter school for grades K through 5. A simple random sample of 144 is surveyed. a. Find the mean and the standard deviation of X of B(144, 0.49). Round off to 4 decimal places. O = b. Now approximate X of B(144, 0.49) using the normal approximation with the random variable Y and the table. Round off to 4 decimal places. Y - N( c. Find the probability that at most 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X 75) - P(Y > a (Z > e. Find the probability that exactly 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X = 81) - P(
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