If X is a continuous random variable with the uniform distribution U(5.5,20.5), what is P(X<8)?
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If X is a continuous random variable with the uniform distribution U(5.5,20.5), what is P(X<8)?
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- Suppose a random variable X following χk2. Describe the distribution of X/k when k is large enough.Construct a tabular form and determine the following probabilities: P(X ≤ 1|Y = 1) P(X ≥ 1|Y = 1).Suppose (S, P) is a binomial distribution with n trials and probability of success p. Let X be the random variable X(k) = k³, where k is the number of successes. Calculate E[X].
- Suppose X is a random variable of uniform distribution between 1 and 7. Find E(X)Let X and Y be independent random variables such that Var[X] = 4.8 and Var[Y ] = 9.7. How can we prove that 2X and 3Y are independent? What is the standard deviation of 2X + 3Y?Let X and Y be two discrete random variables with the joint probability distribution is given by: Y= f(x.y) 2 1/6 1/3 1/12 X= 1/6 1/12 2 0 1/6 Then E ([(X + 2Y)®]) is equal to: None of these 147/12 57/6 281/12
- Let X1 and X2 be two independent and identically distributed random variables with N(µ, 1) distribution. Calculate the conditional distribution X1 | {X1 + X2 = s}.Consider the random sample X1, ... , X4 from a Uniform distribution (0,1). Calculate the expectation of the random variable: Y1 = min( X1, ... , X4)Suppose that we have 3 random variables, W, X and Y, defined as follows: - W follows a t-distribution with 7 degrees of Freedom. - X follows a chi-Square distribution with 10 degrees of Freedom. - Y follows a f-distribution with 2 and 5 degrees of Freedom.1.1. P(W<1)1.2. P(-1<W<0.5)1.3. P(X<10)1.4. P(X>5)1.5. P(4<X<9)1.6. P(Y<1.5)1.7. P(Y>0.2)
- Suppose X is a discrete random variable which only takes on positive integer values. For the cumulative distribution function associated to X the following values are known: F(23) 0.34 F(29) = =0.38 F(34) 0.42 F(39) 0.47 F(44) = 0.52 F(49) 0.55 F(56) = 0.61 = Determine Pr[29X has been defined as the Poisson random variable. Thus, P (X = 1) = 0.149 and P (X = 2) = 0.224 are given. Find out what the probability P (X = 0) is.x has continuous random variable is nomally distributed and average 40, standard deviation 10. So what is the probability of P (30Recommended 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