A continuous random variable X has a pdf of the form: fox) - (821/867) x^2, for 2.08
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Q: Evaluate E=z*p1•q1n1+p2•q2n2 for z*=2.33, n1=2760, n2=7885, p1=0.0116, q1=0.9884, p2=0.0014,…
A: Given, z = 2.33 n1 = 2760 n2 = 7885 p1 = 0.0116 q1 = 0.9884 p2 = 0.0014 q2 = 0.9986
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Q: Evaluate E=z*p1•q1n1+p2•q2n2 for z*=2.33, n1=2914, n2=7807, p1=0.0124, q1=0.9876, p2=0.0014,…
A: E=(2.33×0.0124)·0.9876×2914+0.0014×0.9986×7807=0.028892×2877.8664+10.914498=83.147316+10.914498=94.0…
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- The PDF of a random variable is if x 4 f(x) = { a.) What is the value of A? 0, A (7+x)²² b.) What is the value of P(4 4, if ifAn environmental engineer collected 10 moss and 10 lichen specimens. The engineer instructs a laboratory intern to randomly select 15 of the specimens. The probability mass function of the number of lichen specimens selected at random is: a) H (x; 15; 10; 20) b) P (x; 10) c) Bnegative (x, 10, 0.666) d) B (x, 10, 0.666)Let Y be a discrete random variable with generating function 4 Gy (s) 6 - s What is E(Y) (in decimal)? Answer:
- A kindergarten class consists of 12 boys and 4 girls. The children are arranged from tallest to shortest. Assume that all 16! rankings are equally likely, and no two children are the exactly the same height. let the random variable X be the rank of the second tallest boy. assume that the tallest person in the class is rank 1. (a) find f(x) (b) Calculate E[X] and V[X]Let Y be a discrete random variable with generating function 4 Gy (s) 6 – s s2 What is Var(Y) (in decimal)? Answer:Let X be a random variable that takes values from 0 to 9 with equal probability 1/10. Find the probability distribution of the random variable Y = 6 mod (X + 1)
- Give the formula for p(x) for a binomial random variable with n= 6 and p = 0.4. -.. - O'O (x=0, 1, 2 ...D p(x) = (Simplify your answers. Use integers or decimals for any numbers in the equation.)Q5 Let a discrete random variable Xhas values -1, 1, 2, and 3, with probabilities (1/4, 1/8, 1/8, 1/2) respectively. What is PDF of X? (WVith drawing) By using PDF of X, 2-p (1A person picks a number between 1 and 285336. The random variable Z assigns the 0 to an even number and 1 to an odd number. What number is assigned to 267927?Let I<-2 -2A box in a supply room contains 24 compact fluorescent lightbulbs, of which 8 are rated 13-watt, 9 are rated 18-watt, and 7 are rated 23-watt. Suppose that three of these bulbs are randomly selected. (Round your answers to three decimal places.) *****-+ in the probability it exactly two of the selected hulhe 1 na is the ph that all the -ina? "'? (d) If bulbs are selected one by one until a 23-watt bulb is obtained, what is the probability that it is necessary to examine at least 6 bulbs?The time between successive requests to a server are independent random variables, each exponentially distributed with mean 2 (so parameter 1/2). Let Tn denote the time of the nth request. What are the mean and variance of Tn? 2, n On, n² ● 2n, 4n 2n, 4n² None of the other choices.Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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