Assume Z is a random variable with a standard normal distribution and b is a negative number. If P(Z < b) = 0.42, then find the following: P(Z > 0) = P(Z > b) = P(b < Z < 0) =
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- Let Z be a standard normal random variable. Use the z‐table to find P(Z > ‐1.30)?Suppose the random variable Z follows a standard normal distribution. Then the value of P(Z<-3.39) is O a. 1.000 O b. 0.0003 O c. 0.0000 O d. 0.9997 SEA major video distributor purchases blank DVDs from two sources: Retailer A, which provides 72% of the DVDs, and Retailer B, which provides the remaining 28%. Historically, 4% of the DVDs the video distributor purchased from Retailer A have been defective, whereas 8% of the DVDs purchased from Retailer B have been defective. A randomly selected DVD is found to be defective. Use Bayes' Theorem to determine the probability that the DVD came from Retailer A.The probability is (Round to three decimal places as needed.)
- Suppose that random variable X follows a normal distribution with mean 20 and standard deviation 10. Let Y=10-2X. The probability P(5sY<15) is closest to O 0.2417 0.4995 0.4332 O 0.0279 O 0.1915Suppose X is a normal random variable with mean u = 17.5 and o = 6. A random sample of size n = 24 is selected from this population. a. Find the distribution of b. Find P(X < 14) and P(X < 14) Find P(15Suppose that a random variable Z has a standard normal distribution. Use a standard normal table such as this one to determine the probability that Z is between −1.33 and 0.67. Give your answer in decimal form, precise to at least three decimal places. P(−1.33<Z<0.67)=For a Normal Random Variable X with a mean of 80 and a Standard Deviation of 7, find P(80Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z z 1.44) =If z is a standard normal random variable, then P (1.83 < z < 2.38) is: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