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- Considerthreemappingsα,β,γ:Z→Zdefined by α(n)=2n−1, β(n)=(n−1)^2, γ(n)=(n−1)^3A research center claims that 26% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 700 adults in that country, 28% say that they would travel into space on a commercial flight if they could afford it. At α=0.10, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below.You may use homogenous, exact/inexact, linear, Bernoulli, or second order reducible to first order
- A company sells candy in jars that each have a volume of 3 cups. Each jar is filled above a certain line, guaranteeing that it has more than 3/8 cups of candy. In which of the following does the shaded region represent the possible volumes of candy, c, in cups, a customer may have, given that they bought j jars of candy?A research center claims that that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that would travel into space on a commercial flight if they could afford it. At alpa= 0.05, isthere enough evidence to reject the research centers claim complete parts a through d belowIn rolling a fair die once, what is theprobability of rolling a 2 or an oddnumber? show solution
- A second-stage smog alert has been called in a certain area of Los Angeles County in which there are 50 industrial firms. An inspector will visit 10 randomly selected firms to check for violations of regulations. a. If 15 of the firms are actually violating at least one regulation, what is the pmf of the number of firms visited by the inspector that are in violation of atleast one regulation? b. If there are 500 firms in the area, of which 150 are in violation, approximate the pmf of part (a) by simpler pmf. c. For X = the number among the 10 visited that are in violation, compute E(X) and V(X) both for the exact pmf and the approximating pmf in part (b).Let Z1,...,Zn be a sequence of random variables. For every n = 1, 2;..., P(Zn =n^2) = 1/n, and P(Zn = 0) = 1 - 1/n. In other words, Zn is binary. Show that(a) limit as n goes to infinity E(Zn)= infinityA box has 3white(W) balls,2 black (B) balls and 4 red(R) balls. Two balls were drawn successively from this box (i) with replacement/ (ii) without replacement. Let X=the number of white balls drawn and let Y=the number of black balls drawn.