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Part A: A Russian SVR agent has 45 million dollars which he can spend to bribe academics, politicians, and bloggers to spread disinformation and to promote anti-American propaganda. He has budgeted 15 million to "funding" academics, 25 million for journalists, and 5 million for bloggers. Assume an academic "grant" for an academic is 1 million dollars, 5 million dollars to fund a journalist, and 1,000 dollars for a blogger. The agent is considering potentially paying 500 different academics, 200 different journalists, and 10,000 different bloggers, but he is constrained by his budget. In how many different ways can he bribe academics, journalists, and bloggers? Part B: Effective propaganda works by graduallly reinforcing themes or ideas which sway people's opinions in a particular direction, or often simply away from a certain view. Assume that a popular community based news website allows users to post links to suggested articles which has been compromised by an FSB operative. 200,000 people view a propagdanda article, which has a .05 probability of swaying a persons opinion to support the desired viewpoint the operative wants. What is the probability 10% of the readers change their opinion to support the desired viewpoint? What is the probability the first 50,000 people all change their view, and then 40,000 of the remaining people change their viewpoint?
fourth group was divided into small discussion groups. A high of 10 was possible. A sample of five tests was selected from each group. The test grade results were: At the 0.01 level, what is the critical value?
A slot machine in Reno costs $1 to play. If the jackpot is $1,000 and the expected value is $ - 0.50 find the probability of winning.
Would it be unusual for a return with income of $100,000 or more to be audited? What is the probability that two randomly selected returns with income of $100,000 or more will not be audited?
examine the histogram of the standardized residuals for the regression of annual earning on annual hours worked among
Random samples of five hundred units that were selected daily from a manufacturing process produced an overall defective rate of 3.5%. Calculate the lower and upper control limits for a percentage control chart.
A social psychologist is studying college students attitudes toward drinking and driving. He is specifically interested in attitude change as a result of years in college and of viewing the consequences of drinking and driving accidents.
New soft drink is being market tested. A sample of 400 individuals participated in the taste test and 100 indicated that they like the taste. Set up the null and the alternative hypotheses.
Determine the lot size for Company B that wold minimize total annual cost by using the economic production lot size model.
Replacement times for CD players are normally distributed with mean of 7.1 years and a standard deviation of 1.4 years (based on data from "Getting Things Fixed," Consumer Reports). Find the probability that a randomly selected CD player will have..
No, there is not enough information to refuse hypothesis that proportion of male students who live on campus and proportion of female students who live on campus are same as the test value -1.65 is inside acceptance region (-1.96,1.96).
What is the population from which your sample has been taken? Description of data taken from other sources. Preliminary analysis using histograms, box plots, scatter plots, etc. and investigation of outliers. Do you keep or discard identified outl..
The manufacture of a new compact car claims the miles per gallon (mpg) for the gasoline consumption follow a normal distribution with mean of 25.9 mpg and standard deviation of 9.5 mpg . if 36 such cars are tested , what is the probability the ave..
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