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Write an R function moment (k,x, centered=(k>1)) that takes a numeric vector and returns the kth sample moment (either ˆμk or ˆμ k depending on the value of centered). Test your function by comparing its output to the output of mean() and var (). How does your function handle missing data (NA values)?
Students in a class were asked whether they preferred an in-class or a take-home final exam and were then categorized as to whether or not they had received.
Using your knowledge about the central limit theorem (CLT), and assuming that the CLT has already "established itself" / "kicked in" when the sample size is 85, what is the probability that the sample average that you calculated will lie between 1..
For 2000 patients,blood-clotting time was normally distributed with a mean of 8 seconds and a standard deviation of 3 seconds.what percent was blood-clotting times between 5 and 11 seconds?
assume you are requested to gather data on the time it takes for a single employee to process product returns at a
a) What are the probabilities that exactly k sources work for k = 0, 1, 52? b) Compute the probability that enough power will available.
Let ρk = λk/μk and ρ = ρ1+ρ2+·· ·+ρK . In particular, show, as before, that the probability of n customers in the system is Qn = p(0, ... , 0)ρn/n! for 0 ≤ n ≤ m.
what is the probability that a rearrangement of the word tennessee starts with all four es as the first four
Using the data file below, construct a histogram and a frequency polygon. Describe the shape of this distribution.
How large sample should be selected in order to obtain p estimate with a bound of 0.08 on the error of estimation.
a. What is the expected weekly output? b. What are its variance and standard deviation?
SAT I scores around the nation tend to have a mean scale score around 500, a standard deviation of about 100 points and are approximately normally distributed. A person who scores (a perfect) 800 on the SAT I has approximately what percentile rank..
the probabilities of two events x and y are 0.4 and 0.6 respectively. the conditional probabilities of three other
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