5.28 Find a value zo of the standard normal random variable z such that NW a. P(zzo) = .0401 b. P(-zozzo) = .95 c. P(-zozzo) = .90 d. P(-zoz≤ zo) = .8740 e. P(-20 z≤ 0) = .2967 f. P(-2<< zo) = .9710 g. P(zzo) = .5 h P(z) = 0057
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- Use the Suppose in a local Kindergarten through 12th grade (K -12) school district, 42% of the population favor a charter school for grades K through 5. A simple random sample of 144 is surveyed. nd the mean and the standard deviation of X of B(144, 0.42). Round off to 4 decimal places. b. Now approximate X of B(144, 0.42) 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 72 favor a charter school using the normal approximation and the table. Round off to z-values up to 2 decimal places.) P(X 68) P(Y > ~ (Z >) e. Find the probability that exactly 63 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X = 63) P(a) Find such that P( X < ? ) = 0.9332, where X is a normal random variable with mean = 10 and standard deviation = 2.5. b) Find such that P( X > ?) = 0.1230, where X is a normal random variable with mean = 10 and standard deviation = 2.5.Assume the random variable X is normally distributed, with mean u= 57 and standard deviation o = 7, Find the 12th percentile. The 12th percentile is (Round to two decimal places as needed.)
- Suppose that X is a normal random variable with a mean of μ=10. If we know that Pr[X<46]=Pr[Z<3.00], where Z is the standard normal random variable, determine the standard deviation of X.Q1A Hi wonderful Bartleby team, I need help with this exercise, please provide answer and short explanation for all the answers. Thanks in advance. The last part of it is the sentence and the options are: -(Reject/ Fail to reject) the null hypothesis. There (Is / Not) sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.X is a normally distributed random variable with a mean of 5.00 and a standard deviation of 11.39. If the right area is 0.4716 then what is the value of X?
- For a Normal Random Variable X with a mean of 80 and a Standard Deviation of 7, find P(80Suppose the random variable X follows a binomial distribution with n = 0.50. Using the normal approximation, what is the value for P(X > 38)? 100 and p =Jarþrúður, a geologist is working with the random variable Z that follows the standard normal distribution. What is the value of z if P (Z> z) = 0.0968?Recommended textbooks for youMATLAB: 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 LearningElementary 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. FreemanMATLAB: 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 LearningElementary 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