Use Appendix Table III to determine to 5 decimal places the following probabilities for the standard normal random variable Z: (a) P(Z < 1.32) = i (b) P(Z < 2.7) = i (c) P(Z > 1.45) = i (d) P(Z > 2.15) = i (e) P(-2.34 < Z < 1.76) = i
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- Let Z be a standard normal random variable. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. (a) P(Z > -1.85) = 0 (b) P(Z s -1.99) = [] (c) P (0.80 < z < 1.91) = |Compute the following probabilities for the standard normal distribution Z. A. P(0 -1.2)=If X represents a random variable coming from a normal distribution with mean 5 and if P(X>6.1)=0.2, then P(5<X<6.1)=0.3. True False
- 2. If Z is a standard normal variable, find the following probabilities:a) P (Z < - 0.43) =b) P (- 0.43 < Z < 1.28) =c) P (Z > - 0.28) =Let Z be a standard normal random variable. Calculate the following probabilities. Round your response to at least three decimal places.Let z denote a random variable that has a standard normal distribution. Determine each of the probabilities below. (Round your answers to four decimal places.) In USE SALT (a) P(z < 2.37) : (b) P(z < 2.37) (c) P(z < -1.22) = (d) P(1.15 < z < 3.36) = You may need to use the appropriate table in the appendix to answer this question.
- Find the following probabilities for the standard normal random variable z. P(-2.28Find the following probabilities for a standard normal random variable Z. (Round your answers to four decimal places.) A USE SALT (a) P(Z 1.6) (d) P(Z > -0.66)If Z is a standard normal random variable, find the value z, for the following probabilities. (Round your answers to two decimal places.) (a) P(Z > z,) = 0.5 (b) P(Z < z) = 0.8907 (c) P(-z,Tutorial Exercise Given that z is a standard normal random variable, compute the following probabilities. (a) P(-1.95 sz s 0.46) (b) P(0.55 sz s 1.23) (c) P(-1.85 ≤zs -1.05) Step 1 (a) P(-1.95 sz≤ 0.46) For z to be a standard normal variable means that the random variable z follows a normal distribution with mean 0 and standard deviation 1. The normal distribution is a bell-shaped curve that is symmetric about the mean. The graph of a standard normal curve is below. -3 -2 -1 0 mean, " z -2.0 -1.9 1 This distribution is continuous, so probabilities will be for a range of values and represented by the area under the graph between the values. The desired probability is for the region between z = -1.95 and z = 0.46. Since z = -1.95 is to the left of z = 0.46, we can find this probability by subtracting the area under the curve to the left of z = -1.95 2 3 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 0.0287 0.0281…Let Z be a standard normal random variable. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. (a) P(Z - 1.75) =| (c) P(0.68 < Z < 2.01) = |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