MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Using the Binomial Distribution with n = 10 and p= 0.44, find P (x = 8).X
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- Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n = 53, p=0.7, and X= 41 For n = 53, p = 0.7, and X= 41, use the binomial probability formula to find P(X). 0.0632 (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? OA. Yes, because √np(1-p) ≥ 10 OB. No, because np(1-p) ≤ 10 OC. No, because √np(1-p) ≤ 10 D. Yes, because np(1-p) ≥ 10 Approximate P(X) using the normal distribution. Use a standard normal distribution table. A. P(X) = 0.0605 (Round to four decimal places as needed.) OB. The normal distribution cannot be used. By how much do the exact and approximated probabilities differ? O A. (Round to four decimal places as needed.) OB. The normal distribution cannot be used.arrow_forwardCompute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. For n=47, p=0.5, and X=27, use the binomial probability formula to find P(X).arrow_forwardUsing the Binomial distribution,If n=10 and p=0.4, find P(x=8)arrow_forward
- Assume that a procedure yields a binomial distribution with a trial repeated n=11n=11 times. Find the probability of exactly x=6x=6 successes given the probability p=43%p=43% of success on a single trial.(Report answer accurate to 4 decimal places.)P(X)=arrow_forwardCompute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n=40, p=0.3, and X=15 P(X)=nothing (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? A. No, the normal distribution cannot be used because np(1−p)<10. B. No, the normal distribution cannot be used because np(1−p)≥10. C. Yes, the normal distribution can be used because np(1−p)<10. D. Yes, the normal distribution can be used because np(1−p)≥10. Approximate P(X) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer boxes in your choice. A. P(X)=nothing (Round to four decimal places as needed.) B. There is no solution.…arrow_forwardCompute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n= 40, p = 0.3, and X= 15 %3D ..... P(X) = (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? O A. Yes, the normal distribution can be used because np(1- p) 10. D. No, the normal distribution cannot be used because np(1 - p) 2 10. Approximate P(X) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer boxes in your choice. O A. P(X)= (Round to four decimal places as needed.) B. There is no solution. By how much do the exact and approximated probabilities differ? Select the correct choice below and fill in any answer boxes in your choice. O A. (Round to four decimal places as needed.) O B. There is no solution. O…arrow_forward
- Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some form of technology to find the probability distribution given the probability p = 0.708 of success on a single trial. (Report answers accurate to 4 decimal places.) k P(X = k) 2 4.arrow_forwardApplying 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 x to the standard normal random variable, z, given the mean u, and standard deviation o. x-μ σ Recall 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-μ J 44.5 - Z = = z = √24arrow_forwardCompute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n= 60, p = 0.2, and X = 25 ..... =0 (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? O A. Yes, the normal distribution can be used because np(1 -p) 10. C. Yes, the normal distribution can be used because np(1 -p) 2 10. D. No, the normal distribution cannot be used because np(1-p)< 10. Approximate P(X) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer boxes in your choice. O A. P(X) = (Round to four decimal places as needed.) B. There is no solution. By how much do the exact and approximated probabilities differ? Select the correct choice below and fill in any answer boxes in your choice. O A. (Round to…arrow_forward
- Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n=51 p=0.7 x=37 A)For n=51, p=0.7, and X=37, use the binomial probability formula to find P(X). B)Can the normal distribution be used to approximate this probability? A. No, because np(1−p)≤10 B. Yes, because np(1−p)≥10 C. Yes, because np(1−p)≥10 D. No, because np(1−p)≤10 C) Approximate P(X) using the normal distribution. Use a standard normal distribution table. A. P(X)=enter your response here (Round to four decimal places as needed.) B. The normal distribution cannot be used. D) By how much do the exact and approximated probabilities differ? A.enter your response here (Round to four decimal places as needed.) B. The normal distribution cannot be used. E)By…arrow_forwardAssume that a procedure yields a binomial distribution with a trial repeated n=14n=14 times. Find the probability of x=13x=13 successes given the probability p=p=13/15 of success on a single trial.(Report answer accurate to 4 decimal places.)P(x=13)P(x=13)arrow_forwardUsing the Binomial distribution, If n=6 and p=0.2, find P(x=3)arrow_forward
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