Question

In: Statistics and Probability

SOLUTION REQUIRED WITH COMPLETE STEPS Let X be sum of 25 iid random variables, each random...

SOLUTION REQUIRED WITH COMPLETE STEPS

Let X be sum of 25 iid random variables, each random variable has mean 60 and standard deviation 20.

a) Estimate probability of ? ≥ 1700.

b) Estimate probability of 1300 ≤ ? ≤ 1700

Solutions

Expert Solution


Related Solutions

SOLUTION REQUIRED WITH COMPLETE STEPS Let X and Y be discrete random variables, their joint pmf...
SOLUTION REQUIRED WITH COMPLETE STEPS Let X and Y be discrete random variables, their joint pmf is given as Px,y = ?(? + ? + 2)/(B + 2) for 0 ≤ X < 3, 0 ≤ Y < 3 (Where B=0) a) Find the value of ? b) Find the marginal pmf of ? and ? c) Find conditional pmf of ? given ? = 2
SOLUTION REQUIRED WITH COMPLETE STEPS A continuous random variable X has pdf ?x(?) = (? +...
SOLUTION REQUIRED WITH COMPLETE STEPS A continuous random variable X has pdf ?x(?) = (? + 1) ? 2 , 0 ≤ ? ≤ ? + 1, Where B=7. a) Find the value of a b) Find cumulative distribution function (CDF) of X i.e. ?x(?). c) Find the mean of X d) Find variance of X.
Let X; be n IID U(0, 1) random variables. What are the mean and variance of...
Let X; be n IID U(0, 1) random variables. What are the mean and variance of the minimum-order and maximum-order statistics? PLEASE SHOW ALL WORK AND FORMULAS USED
Let X1,…, Xn be a sample of iid random variables with pdf f (x; ?1, ?2)...
Let X1,…, Xn be a sample of iid random variables with pdf f (x; ?1, ?2) = ?1 e^(−?1(x−?2)) with S = [?2, ∞) and Θ = ℝ+ × ℝ. Determine a) L(?1, ?2). b) the MLE of ?⃗ = (?1, ?2). c) E(? ̂ 2).
Let X1,...,Xn be independent random variables,and let X=X1+...+Xn be their sum. 1. Suppose that each Xi...
Let X1,...,Xn be independent random variables,and let X=X1+...+Xn be their sum. 1. Suppose that each Xi is geometric with respective parameter pi. It is known that the mean of X is equal to μ, where μ > 0. Show that the variance of X is minimized if the pi's are all equal to n/μ. 2. Suppose that each Xi is Bernoulli with respective parameter pi. It is known that the mean of X is equal to μ, where μ >...
Let X1, X2, . . . be iid random variables following a uniform distribution on the...
Let X1, X2, . . . be iid random variables following a uniform distribution on the interval [0, θ]. Show that max(X1, . . . , Xn) → θ in probability as n → ∞
Let X1, X2, . . . , Xn be iid Poisson random variables with unknown mean...
Let X1, X2, . . . , Xn be iid Poisson random variables with unknown mean µ 1. Find the maximum likelihood estimator of µ 2.Determine whether the maximum likelihood estimator is unbiased for µ
Let ?1, ?2,…. . , ?? (n random variables iid) as a variable whose pdf is...
Let ?1, ?2,…. . , ?? (n random variables iid) as a variable whose pdf is continuous and uniform over the interval [? - 1; ? + 3]. (1) Determine the estimator of the moments method. (2) Is this estimator unbiased? What is its variance? (3) Find the maximum likelihood estimator (VME) for this setting. Is it unique?
Let X1,…, Xn be a sample of iid N(0, ?) random variables with Θ=(0, ∞). Determine...
Let X1,…, Xn be a sample of iid N(0, ?) random variables with Θ=(0, ∞). Determine a) the MLE ? of ?. b) E(? ̂). c) the asymptotic variance of the MLE of ?. d) the MLE of SD(Xi ) = √ ?.
please show steps Let X ∼ N (100, 25) be a normal random value. Find: (a)...
please show steps Let X ∼ N (100, 25) be a normal random value. Find: (a) P[93 < X < 107] (b) P[93 < X < 100] (c) P[93 < X < 109] (d) P[X < 109] (e) P[X > 107] (f) P[|X| > 107] (g) P[|X| < 93] (h) 67-th percentile n(0.67) (i) 23-th percentile n(0.23)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT