typed answer with detail explanations in pdf filestrict due.If you think you can

typed answer with detail explanations in pdf filestrict due.If you think you cant do some of questions just dont start my work please.#8 and #9 dont need to be solved. I just want 1-7 tobe solved.For number 6 you may want to use this code.You can install this R program here: http://www.r-project.org/index.html# pdf will contain the exact pdfx <- seq(-440.01)pdf=exp(-x*x/2)/(sqrt(2*3.1416))# number of samples we will generate mean and stand dev for normal_nsamples=100000mean=0sd=1# the vector samples will contain the samples of the normal RVsamples <- rnorm(nsamplesmeansd)# plot a histogram of the samples using bins of with 0.2hist(samplesfreq=Fylim=c(00.5)breaks=c(seq(-5.5.0.2)))# plot the pdf in redlines(xpdfcol=redlwd=2)