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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?.
The population mean is within $50.00 of the sample mean?
A survey showed that the probability that an employee gets placed in a job
Sammy the Statistics Student wanted to estimate the difference between the population average time of his AM(x1) and PM(x2) commutes. Using 40 AM commutes and 31PM commutes, he found a 95% confidence interval for the difference of mean times of 3 to ..
The franchise has 6 hours of labor available and has contracted to get 30 lbs. of sausage and 30 lbs. of ham. The manager also plans on purchasing 16 lbs. of flour. Profit on a sausage biscuit is $.60 and $.50 on a ham biscuit. Create a model to help..
1. Imagine yourself at a fair playing one of the midway games. Pick a game and calculate the expected value and post your results along with how you calculated them. For example, you may decide to throw a basketball to try to win a $10 bear. You paid..
Use a table of areas for the standard normal curve to find the required z-score. Find the z-score for having area 0.45 to its right under the standard normal curve, that is, find z0.45. 0.3264 -0.13 0.6736 0.13
The diameter of a mechanical cylinder is 3 inches but can be as large as 3.03 inches and as small as 2.97 inches. If the process has a grand mean of 3.01 inches and a standard deviation of.02 inches. What is the probability of producing bad cylinde..
What is a hypothesis test? Why do we need to use them to make decisions about relating sample results to the population; why can't we just make our decisions by the sample value?
Explain the difference between a normal Distribution and a binomial distribution. How do we know which one to use?
To answer this question, an analyst collected random samples of 25 female customers and 22 male customers. Based on these samples on average the 25 women charge customers spent $102.23 and the 22 male charge customers spent $86.46. Moreover, the samp..
1)A company that makes traffic signal lights buys switches from a supplier. Out of each shipment of 1000 switches, the company will take a random sample of 10 switches. The company has a policy of rejecting a lot if they find any defective switches i..
Your write-up of this experiment should include your work to determine the n, your methodology, your record of the experiment, your confidence interval, your interpretation of the confidence interval, your formal hypothesis test and your comments ..
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