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Suppose that X is a random variable for which E(X) = µ and Var(X) = σ 2
(a) Show that E [X(X - 1)] = µ(µ - 1) + σ 2
(b) Show that E [(X - c) 2 ] = (µ - c) 2 + σ 2 where c is an arbitrary constant.
a real estate agent has 12 properties that she shows. she feels that there is a 40 chance of selling any one property
Discuss what is meant by mean, median, mode, variance, and standard deviation for a set of scores. Also mention under what circumstance you would use each of these.
The probability of an randomly selected person quits a team is 0.125. Assume the team has n members. Determine the smallest n that the team needs to have if the probability of the team has at least 20 members left is 0.9.
What is it that differentiates a binomial probability distribution from any other probability distribution? & The employees at a General Motors assembly plant are polled as they leave work.
Suppose that your sample mean is 1175 and that your sample standard deviation is 100. Using α=0.05, what is the appropriate conclusion you should draw from your sample?
What is the value of the new intercept and the slope coefficients associated with X1 and X2? How do they compare with the corresponding values before the transformation?
A genetic experiment with peas resulted in one sample of offspring that consisted of 438 green peas and 159 yellow peas.
Write a brief summary report on the demographic and class distribution of this sample. Paste the tables and charts into your report and label each of them properly.
Uuse a level of significance of a =0.01 to test to see if you have sufficient evidence to support the claim that the defective rate exceeds 3%.
The study does provide sufficient evidence to support the claim that less than 75% of college student spend less than $250 per semester on textbooks.
a factory produces computer chips and the proportion of defective chips is 0.01 i.e. p0.01.suppose you take a sample
using the following data to establish a 95 lower prediction bound for a sample mean to be taken based on three
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