Please use R, and show R code. Thanks
The R-code is as follows :
x={}
y={}
for(i in 1:1000)
{
u=runif(100)
x[i]=abs(mean(u)-1/2)
if(x[i] <=0.05) {y[i]=1}else{y[i]=0}
}
mean(y)
And the Output is as follows :
0.907
Hence the proof above inequality.
Please use R, and show R code. Thanks I X. X, are ii.d. from Unif[0, 1], how large should n be so that P(IX 1/2l < 0.05) > 0.90, that is, there is at least a 90% chance that the sample mean is...
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what code in R should I use if I want to achieve 10 different
outputs with the same n. n= a number that doesnt satisfies the CLT
my distributions are pois(0.8) and t(2)
the one I used is below but I don’t think it’s right if anyone
can help me please resolve this code so I can do the same thing
with 10 different values of n.
and of that n I need to know the mean, the min, max,...
Consider an id sample X1, X2,..., X, P that has been reordered as X(1) X(2) S... 5X(n) where n is very large. In the problems below, we have chosen a different distribution for P and compared the empirical quantiles to the standard Gaussian quantiles using a QQ plot. Recall that • the Laplace distribution Lap (4) with parameter 1 > O is the continuous probability distribution with density fx = $e A51, and • the Cauchy distribution is the continuous...
Please all thank you
Exercise 25: Let f 0,R be defined by f(x)-1/n, m, with m,nENand n is the minimal n such that m/n a) Show that L(f, P)0 for all partitions P of [0, 1] b) Let mE N. Show that the cardinality of the set A bounded by m(m1)/2. e [0, 1]: f(x) > 1/m) is c) Given m E N construct a partition P such that U(f, Pm)2/m. d) Show that f is integrable and compute Jo...