
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Question
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=57 p=0.6 x=26
Approximate P(X) using the normal distribution. Use a standard normal distribution table.
P(X)=
(Round to four decimal places as needed.)Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 4 steps with 2 images

Knowledge Booster
Similar questions
- 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= 44, p 0.5, and X 27 ..... For n = 44, p= 0.5, and X = 27, use the binomial probability formula to find P(X). (Round to four decimal places as needed.)arrow_forwardFind the probability using the normal distribution. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places. P(z<-2.64) = ||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 = 68, p = 0.71, and x = 53 Approximate P(x) using the normal distribution. Select the correct choice below and fill in any answer boxes in your choice. OA. P(x)= (Round to four decimal places as needed.) B. The normal distribution cannot be used to approximate the binomial distribution in this case. Compare the normal approximation with the exact probability. Select the correct choice below and fill in any answer boxes in your choice. OA. The exact probability is greater than the approximated probability by (Round to four decimal places as needed.) B. The exact probability is less than the approximated probability by (Round to four decimal places as needed.) OC. The exact and approximated probabilities are equal. O D. The normal distribution…arrow_forward
- The round off errors when measuring the distance that a long jumper has jumped is uniformly distributed between 0 and 5.8 mm. Round values to 4 decimal places when possible. b. The standard deviation is c. The probability that the round a. The mean of this distribution is off error for a jumper's distance is exactly 0.3 is P(x-03)-d. The probability that the round off error for the distance that a long jumper has jumped is between 0 and 5 8 mm is PC1.7 x 5.2)- that the jump's round off error is greater than 1.76 is P(x > 1.76) Find the 81st percentile. e. The probability f P(x > 1.4 x > 0.6) h. Find the mnmum for the upper quartile.arrow_forwardAssume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimal places.) μ = 6; σ = 2 P(5 ≤ x ≤ 8) =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 = 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 OD. Yes, because np(1-p) 2 10arrow_forward
- Find the probabilities for each, using the standard normal distribution. Shade the area of the region under the normal curve.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=51 p=.03 x=20arrow_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=0.10 and X=15 P(X)equals=____ (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? A. Yes, the normal distribution can be used because np(1−p)<10. B. No, the normal distribution cannot be used because np(1−p)<10. C. No, the normal distribution cannot be used because np(1−p)≥10. D. Yes, the normal distribution can be used because np(1−p)≥10. ApproximateP(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)=_____ (Round to four decimal places as needed.) B. There is no solution. By how much do the exact and approximated probabilities differ?…arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman

MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc

Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning

Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning

Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON

The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman