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Let X~N(2,6) and Y~N(-3,2) and Z~N(0,1). All three random variables are independent of each other. Do the following.
a. What is the distribution of W=X+Y+Z? What are E(W) and Var(W)?
b. What is the distribution of Q=2Y?
c. What is the distribution of P=-2X+4?
d. Find a and b so that M=a+bX is distributed as a standard Normal Distribution?.
1. A random variable X is normally distributed with a mean of 37 and a standard deviation of 10.a. What is the probability that X will be more than 50?b. What is the probability that X will be more than 30?
The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.59 and a standard deviation of $0.10. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline ..
1. In an extensive study involving thousands of British children, Arden and Plomin (2006) found significantly higher variance in the intelligence scores for males than for females. Following are hypothetical data, similar to the res..
Which of the following statements are true? A.Probabilities can be any positive value. B.Probabilities must be nonnegative. C.Probabilities must be negative. D.Probabilities can either be positive or negative.
Suppose the returns of a particular group of mutual funds are normally distributed with a mean of 12.4 and a standard deviation of 4.7%. I f the manager of a particular fund wants his fund to be in the top 5% of funds with the highest return, what re..
Recent information published by the U.S. Environmental Protection Agency indicates that Honda is the manufacturer of four of the top nine vehicles in tems of fuel economy.
Construct a 90% confidence interval for (p1-p2)
The length of time (in months after maintenance) until failure of a bank’s surveillance television equipment has a Weibull distribution with α = 2 and β =60 months. If the bank wants the probability of a breakdown before the next scheduled maintenanc..
there is a statistical difference between the ages of the sexes in the group.
Descriptive Statistics Project Descriptive Statistics Project Project #1 This project gives you the chance to use all of the statistical techniques and concepts that are covered in the initial chapters of the text.Data Collection: This is an open e..
What does it mean for a sample to have a standard deviation of 0? Describe the scores in such a sample.
if you were constructing a 99% confidence interval of the population mean based on a sample of n= 20 where the standard deviation of the sample s= 0.05 the critical value of t will be
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