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- Which of the following is not a property of the normal distribution ○ It is continuous O It is asymptotic ○ It is symmetric ○ It is discrete Question 2 What is the probability of finding a score in a normal distribution that lies somewhere between one standard deviation below the mean to one standard deviation above the mean? O 6826 O.9544 ○ 1.00 O 3413 Question 3 What is the mean of the standard normal distribution? O 0.6826 O 0.3413 O 1.00 O 0.00 Question 4 Which of the following is true about a normal distribution? The mean and the median are always larger than the mode The mean and the mode are always larger than the median The mean is always larger than the mode or the median because of the skew The mean, median and mode are all equal Question 5 What is the empirical rule? the 68% / 95% / 99.7% rulle ○ O the 95,00% rule O the larger the sample size the more the distribution approaches a normal distribution 1 pts O only empirical data can be analyzed using statistics 1 pts 1 pts 1…*o use the values on the attached table to solve problems relatedto normal distribution. In a supermarket, the weight of apples has an approximately normal distribution with the mean of 190 gram and the standard deviation of 12 gram; the weight of the pears also has an approximately normal distribution with the mean of 210 gram and the standard deviation of 15 gram.(a) When an apple and a pear are randomly selected, what is the probability that the apple weights more than the pear?(b) If Tom randomly buys 30 apples and 20 pears, what is the probability that their total weight exceeds 10kg (10kg = 10, 000g)?Answer please
- topic: function of random variables* 00 What requirements are necessary for a normal probability distribution to be a standard normal probability distribution? Answer: The mean and standard deviation have the value of u = and o = %3DSubject Test Note: - You are attempting question 1 our Let a distribution function be given by y +1 = (a) 2. 0<_y<1 1. 3. Then, compute P-2Which distribution(s) is/are symmetric? Select all that apply. Gamma Distribution Exponential Distribution Uniform Distribution Normal Distribution All of the above. None of the above.Definition: the distribution of values taken by a statistic in a large number of simple random samples of the same size taken from the same population is which of the following types of distributions? Marginal distribution Normal distribution Conditional Distribution Sampling DistributionContinuous distribution Accident records on a highway segment are reported in the form of times between accidents. The following record was established in days: 2, 3, 1, 3, 2, 5, 1, 2, 3, 4, 3, 1, 1, 2 and 2. Assume exponential distribution, compute the average time between accidents? What is the probability that the time between consecutive accidents would exceed 5 days?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