Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Supposen = 41 and p = 0.18. Can we approximate p by a normal distribution? Why? (Use 2 decimal places.) np = ng = Select-v, p Select-v be approximated by a normal random variable because Select- What are the values of un and o,? (Use 3 decimal places.) Hp" %3D Op = (b) Suppose n = 25 and p = 0.15. Can we safely approximate p by a normal distribution? Why or why not? Select-v,P %3D --Select-v be approximated by a normal random variable because -Select-- (c) Suppose n = 41 and p = 0.18. Can we approximate p by a normal distribution? Why? (Use 2 decimal places.) np = ng = Select--, p -Select-v be approximated by a normal random variable because -Select--- What are the values of up and op? (Use 3 decimal places.) Hp %3D %3D

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Supposen = 41 and p = 0.18. Can we approximate p by a normal distribution? Why? (Use 2 decimal places.) np = ng = Select-v, p Select-v be approximated by a normal random variable because Select- What are the values of un and o,? (Use 3 decimal places.) Hp" %3D Op = (b) Suppose n = 25 and p = 0.15. Can we safely approximate p by a normal distribution? Why or why not? Select-v,P %3D --Select-v be approximated by a normal random variable because -Select-- (c) Suppose n = 41 and p = 0.18. Can we approximate p by a normal distribution? Why? (Use 2 decimal places.) np = ng = Select--, p -Select-v be approximated by a normal random variable because -Select--- What are the values of up and op? (Use 3 decimal places.) Hp %3D %3D

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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You are to roll a fair die n = 120 times, each time observing if the topside of the die shows a 6 (success) or not (failure). After observing the n = 120 tosses, you are to count the number of times the topside showed a 6. This count is represented by the random variable X. (a) The distribution of X ? with a mean and a standard deviation Enter your answer using all the decimals you can. (b) Now think about the proportion of your n = 120 tosses that show a six. What can you say about the distribution of this proportion? Complete the sentence, Enter your answer using all the decimals you can. The distribution of ? with a mean and a standard deviation σ you can. ☐ 2 2 ☐ (c) What is the probability that the proportion/percentage of your n = 120 tosses that show a six will be somewhere between 15% and 22%? Enter your answer using all the decimals you can. (d) After the n = 120 tosses of the die, you observe X = 27, the value of the sample proportion is then = 270 = 0.225. What is the…
Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n = 27 and p = 0.37. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.) np = nq = ---Select--- Yes No , p̂ ---Select--- cannot can be approximated by a normal random variable because ---Select--- np does not exceed both np and nq exceed np exceeds nq does not exceed nq exceeds np and nq do not exceed .What are the values of μp̂ and σp̂? (Use 3 decimal places.) μp̂ = σp̂ = (b) Suppose n = 25 and p = 0.15. Can we safely approximate p̂ by a normal distribution? Why or why not? ---Select--- Yes No , p̂ ---Select--- cannot can be approximated by a normal random variable because ---Select--- nq does not exceed np does not exceed np and nq do not exceed nq exceeds np exceeds both np and nq exceed .(c) Suppose n = 61 and p = 0.33. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.)…