Using the Binomial distribution with n = 5 and p = 0.3, calculate %3D P(x at most 3) = [three decimal accuracy]
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Binominal distribution
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- Using the Binomial Distribution with n = 10 and p= 0.44, find P (x = 8).XAssume that a procedure yields a binomial distribution with a trial repeated n=14 times.Use the binomial probability formula to find the probability of k=12 successes given the probability p=43/60 of success on a single trial.(Report answer accurate to 4 decimal places.)P(X=12)=Let X be b(2, p) (binomial distribution). Assume P(X > 1) = (a) Find p. (b) Compute P[X = 2]. %3D
- Assume Binomial Distribution with n = 11 and p = 0.3. Please show your answers to 4 decimal places. P(X == 5) = P(X ≤≤ 5) = P(X << 5) = P(X >> 5) = P(X ≥≥ 5) =for the binomial distribution with a given values for n and p stayed whether or not it is suitable to use the normal distribution as an approximation. n=65 and p=0.7 A. Normal approximation is not suitable B. Normal approximation is suitableUse only the Table for Binomial Distribution to find the following: a. P(x 26) for n=15, p=0.6 b. P(3The time intervals between cars that successively pass a toll booth have an exponential distribution with a mean of 8 minutes. Find a time interval t in minutes such that we can be 95% sure that the time interval between two successive cars passing through the toll booth will be greater than t. Round to 2 decimal placesUsing the binomial Distribution n=11 and q= 0.33 , find P ( x=9)Using the Binomial Distribution with n = 11 and q= 0.33 , find P (x=5)Cumulative probability tables for the Poisson distribution indicate that for µ = 2.5, Pr [R ≤ 6] = 0.986 and Pr [R ≤ 4] = 0.891. Use these figures to calculate Pr [R = 5 or 6]. Check using basic relations.Use the normal approximation to the binomial to find the probability for =n=, 11p, 0.5and ≥X8. Round z-value calculations to 2 decimal places and final answer to 4 decimal places. the probability is:For a binomial probability distribution, n = 150 and p = 0.60. Let x be the number of successes in 150 trials. a. Find the mean and standard deviation of this binomial distribution. p = i and o? = i b. Find to 4 decimal places P(xs 68) using the normal approximation. P(xs 68) = i c. Find to 4 decimal places P(67Recommended 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