8. Normal approximation to Binomial distribution(a) State the conditions for being able to estimate a binomial distributionwith a normal distribution. (Galton Board)For question (b) you will consider 1000 fair dice roll. You will consider rollinga 6 as an "ace".(b) Show how to calculate the probability of rolling 10 or less aces using theNormal approximation.For questions (c) and (d) you will consider 30 fair coin flips.

Since there are multiple sub-parts and complete question for c and d parts are missing, the first…

Answered: 8. Normal approximation to Binomial…

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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Births The probability of a baby being born a boy is 0.512. Consider the problem of finding the probability of exactly 7 boys in 11 births. Solve that problem using (1) normal approximation to the binomial using Table A-2; (2) normal approximation to the binomial using technology instead of Table A-2; (3) using technology with the binomial distribution instead of using a normal approximation. Compare the results. Given that the requirements for using the normal approximation are just barely met, are the approximations off by very much?
Question TU A population of values has a distribution with u = 52.4 and o = 77.8. You intend to draw a random sample of size n = 39. According to the Central Limit Theorem: (a) What is the mean of the distribution of sample means? = (b) What is the standard deviation of the distribution of sample means? (Report answer accurate to 4 decimal place.) (C) In a random sample of n=39, what is the probability that its sample mean is more than 55.1? Round to three decimal places. (d) In a random sample of n=39, what is the probability that its sample mean is less than 53.7? Give your answer to three decimal places. > Next Question
Homework #6
Number 1
A gender-selection technique is designed to increase the likelihood that a baby will be a girl. In the results of the gender-selection technique, 941 births consisted of 474 baby girls and 467 baby boys. In analyzing these results, assume that boys and girls are equally likely. a. Find the probability of getting exactly 474 girls in 941 births. b. Find the probability of getting 474 or more girls in 941 births. If boys and girls are equally likely, is 474 girls in 941 births unusually high? c. Which probability is relevant for trying to determine whether the technique is effective: the result from part (a) or the result from part (b)? d. Based on the results, does it appear that the gender-selection technique is effective? a. The probability (Round to four decimal places as needed.) getting exactly 474 girls in 941 births is
Binomial distribution, expected value and variance Find the expected value (mean), the variance, and the standard deviation for each of the following cases for a binomial random variable X. a) binomial X, with n = 25 and p = 0.3 b) binomial X, with n = 86 and p = 0.6 BONUS(3): Consider th case of a binomial random variable with n = 48 and p = 0.25. Find the range of Z-scores corresponding to the following range of values for X: 8.5 <= X <= 15.5
-(True or false) One of the Characteristic of a continuous random variables is “Probabilities are based on intervals, not on an individual value. -(True Or false) One of the Characteristics of the Normal Probability Distribution is “The distribution is bell-shaped and symmetrical around the variance.” (True or False) In Normal Probability Distribution, if µ increased, the curve will move to the left. (True or false) Any normal distribution (x) with mean µ and standard deviation σ can be transformed into the standard normal distribution (z) with µ=1 and σ =0
Homework review please help Question #1 Its a review

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