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Let X be the random variable with mean 10 and standard deviation 4 and Y be the random variable with mean 6 and standard deviation 2.
Find the followings:
a). E(X + 2Y )
b).E(4Y - 3X)
c). E(X2 )
For the following parts, suppose X and Y are independent.
d). V ar(-2Y )
e). V ar(X + Y )
f). V ar(2X - 3Y )
g). SD(X - Y )
h). SD(3X + 4Y)
Determine the probability that Mary obtains exactly one Head.
Find the probability that a majority of the persons polled will favor the proposal, given that 45 % of the population favor the proposal.
Repeat the sampling process 20 times without pressing the Start Over button. Use Show Resultsto display the results of the 20 samples.
The sample mean, the sample proportion and the sample standard deviation are all unbiased estimators of the corresponding population parameters. True or false (please provide a solution or explanation).
Form the cumulative percentage distribution and plan a cumulative percentage polygon.
If the component lifetimes are independent uniform (0,1) random variables, determine the probability that the system life will be less than ½ .
Find the critical value(s). (e) Based on your answers for parts (a) to (d), will you reject or fail to reject the null hypothesis? State your conclusion in the context of the application.
suppose the service time in minutes at a bank has the exponential distribution with lambda 12. use the central limit
What is the best predicted IQ of the wife, given that the husband has an IQ of 105 ? Use a significance level of 0.05.
Describe different methods of establishing correlation between variables and provide an example of each. Discuss the advantages and disadvantages of each method and where each must be applied.
A researcher is interested in a potential relationship between smoking and highest level of education achd.
Use the histogram to determine how many points are out of control according to the upper control limit and lower control limit.
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