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1. Let Xi = the outcome of the ith roll of a die.
a. What are the expected value and variance of Xi?b. Let Y = the sum of the outcomes of 3 die rolls. What is Yin terms of X,?c. Use the expected value and variance of Xi you found in a. to find the expected value and variance of Y.d. What has to be true in order to sum variances to find the variance of a sum? Is that true in this case? Explain.e. Let W = three times the outcome of the ith roll of the die. What is W in terms of X?f. What are the expected value and variance of W?
2. Describe a situation relevant to your discipline in which you would be interested in the expected value of a mean or sum of random variables. Clearly describe the random variables and the meaning of the mean or sum of them.
3. A coin is tossed 20 times and the number of heads is counted. Let X = the number of heads. What is the distribution of X? Explain.
As a Staff I assigned to the audit of a publicly traded company, your senior has asked you to evaluate both share-based payment reporting and special purpose entities (SPE) reporting for the company.
Which two types of probability sampling are best suited for business research and statistical data analysis, and why?
A randomly selected full-grown adult female okapi weighs between 425 and 525 pounds?
How large a sample of one-bedroom apartments would be needed to estimate the mean within $20 with 90% confidence?
Use Excel and the data to test whether the mean alcohol expenditures for UCM students is equal to that of SBU students using a 1 % level of significance.
What percentage of 25-year-old mean are over 6 feet 2 inches tall? What percentage of men in the 6-footer club are over 6 foot 5 inches?
A regression analysis relating test scores (Y) to training hours (X) produced the following fitted equation: Yˆ =13.2 +1.3X .
1.If the Albany highway system described in Problem 29 has revised flow capacities as shown in the following network,
Suppose that in a certain population of used cars, 5% have bad brakes. Consider the null hypothesis that a car's brakes are fine. Suppose a given mechanic has a 5% chance of committing a type I error and a 5% chance of committing a type II error i..
where E is the energy of the photon in J, h is Planck's constant (6.626 x 10-34 J*s), and c is the speed of light (3.00 x 108 m/s). If we determine the wavelength (lambda) of light emitted from a sample of antimony to be 206.8 nm, what is the energ..
Scenario 2: If the standard deviation is to remain at 0.05 ounces, what mean does the filling machine need to have to achieve this goal.
A health agency is taking a survey regarding the evaluation of all the hospitals in Melbourne to find out the statistical calculation and analyze the attributes of the data. The agency needs a report that can analyze the number of admissions, type of..
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