3- Random sample with size n with p.d.f define as follows: e-tx-21 f(x; 2) = 2 0 Find the estimators of using moments method. -2
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- Q. 2 For the exponential random variable X with parameter à = 2, compute the ollowing probabilities. (a) P(1 5). (c) P(X > 5|X > 3). (d) P(X > 2|X > 3).X = the number of occurrences of a particular event in an interval of time or space. 2x. e-2 P(X = x) = X = 0, 1, 2, 3, .... %3D х! Е(X) - 7, Var(X) = .. Table III (pp. 580 – 582) gives P(X< x) 1. Traffic accidents at a particular intersection follow Poisson distribution with an average rate of 1.4 per week. a) What is the probability that the next week is accident-free? b) What is the probability that there will be exactly 3 accidents next week? c) What is the probability that there will be at most 2 accidents next week?Q
- can you find two tailed test p value for given data sample size 14 test statistics -2.23(54) Let X be a random variable with p.d.f. [(k+4) f(x) = { 1BapuA random variable, X, has a pdf given by The expected value of Y is O a. 3/5 O b. 5/3 O c. 7/5 O A random variable Y, is related to X by Px(x) d. 7/3 = 1 -3 < x < 1. and 0 otherwise 4 Y = X²Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON