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Variable X is given by a Normal Random variable with mean 4 and variance 9. Variable Y is given by a Uniform Random variable over the segment from 2 to 4. Variable Z is the sum of the roll of two fair dice. (HINT: assume that the Expected value of a product of independent random variable can be separated into the product of the expected value of each variable)
a) Evaluate E[X + Y + Z]
b) Evaluate E[2XY + Z2]
c) Evaluate Var[2XY + Z2]
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. first carefully check for any typing mistakes in the data.for example i noticed the birth year for some students as
Direct mail advertisers send solicitation junk mail to thousands of potential customer hoping that some will buy the company's product. The response rate is usually quite low. Suppose a company wants to test the response to a new flyer and sends it t..
What is the rationale behind the minimax regret rule? What are some less formal and precise methods of dealing with uncertainty? When are these useful - calculate the standard deviation of the distribution of each investment.
The man-hour estimate for test and evaluation was developed using expert opinion to come up with optimistic, pessimistic and most likely positions. This resulted in a triangular distribution with a minimum estimate of 250 hours, a most likely estimat..
the electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature
Calculate and interpret a confidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for the older women.
Is exposure to UV radiation associated with skin cancer
This study investigates whether there are differences in the outcomes of three different treatments for anxiety. The treatment conditions that are compared are treatment with medication, treatment with psychotherapy, and placebo (inactive pills). In ..
Directions: Read the following problem. In your drop box submission, please include the following information: a. Determine if the problem is either a test of hypothesis, a confidence interval or something else and specify the 'key words' found in th..
What test or tests would you use to rule out chance from causing the apparent differences in these data and is there a significant correlation?
Consider the following situation: Data Set A: Average = $157 Standard Dev. = $84 Data Set B: Average = 34 oz. Standard Dev. = 21 oz
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