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1. A coin is tossed 4 times. Let X denote the number of heads which appear in 4 tosses.
a) Construct a probability distribution for X
b) Find P(X>2)
c) Find the expected value of X
d) Find the variance and standard deviation of X
2. The probability that a randomly selected elementary or secondary school teacher from a city is female is 0.68, holds a second job is 0.38, and is female and holds a second job is 0.29. Find the probability that an elementary or secondary school teacher selected at random from this city is female or holds a second job.
3. Suppose the statistic final exam has 10 multiple choice questions, each with 4 choices. If a student randomly guesses the answers, what is the probability he will pass the final exam. (Assume the student passes with 60 or higher, and each question is worth 10)
Suppose that the average annual salary for a worker in the United States is $30,000 and that annual salaries for Americans are normally distributed with a standard deviation equal to $7,000. Determine the following:
Define the variable - the weight in pounds - it is a dependent variable. Find the mean, median, mode, variance, and standard deviation for your data.
A Correlation matrix (correlation, coefficients and probability level under the hypothesis rho= 0) for a company's sales force (age, years of service, and current sales) is given below. Comment.
Need to come up with a regression model to forecast monthly sales of cold beverages for the next year. What variables might be included in the model?
True or False? Bivariate correlation coefficient always has same sign as b 1 in Y = b 0 + b 1 X.
Form a frequency distribution and a percentage distribution that have class intervals with the upper class limits $99, $119, and so on.
The results for college x was a mean of 5 hours and an estimated population variance of 2 hours: for college y, m= 4, s 2 =1.5; and for college Z, M= 6, s 2 =2.5 what should you conclude? Use the .5 level.
The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.30 Inches and a standard deviation of 0.01 inches.
Inventories represent a considerable investment for every organization; thus, it is important that they be managed well. Excess inventories can indicate poor financial and operational management.
Please use a combination of content and supportive examples.
Using the 0.95 degree of confidence, what is the interval estimate for the population proportion (to the nearest tenth of a percent)?
Formulate and LP model for this problem using Excel. Sketch the feasible region for this problem using Excel. Find the optimal solution
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