In the July 29, 2001, issue of The Journal News (Hamilton, Ohio), Lynn Elber of the Associated Press reported that “while 40 percent of American families own a television set with a V-chip installed to block designated programs with sex and violence, only 17 percent of those parents use the device.” (a) Use the report’s results to find an estimate of the probability that a randomly selected American family has used a V-chip to block programs containing sex and violence. find P(V and U) According to the report, more than 50 percent of parents have used the TV rating system (TV-14, etc.) to control their children’s TV viewing. How does this compare to the percentage using the V-chip?

Static Bayesian Games] We consider a games with 2 players. Player 1 has only asingle type; however, Player 2 can have two types I and D, each with probability 50%. Bothplayers have two actions available to them. The game has the following payoffs (P1 is the rowplayer, P2 the column player):

Suppose 57% of the population has a retirement account. If a random sample of size 421 is selected, what is the probability that the proportion of persons with a retirement account will differ from the population proportion by greater than 4% ? Round your answer to four decimal places.

There are two types of (college graduate) workers in financial industry: A (able) type and C (challenged) type. Potential employers in finance will pay $160,000 a year to a type A and $60,000 to a type C. Unfortunately, employers cannot observe the worker's type while each worker knows his or her own type. However, a market research informs all employers and workers that 60% of the population is type A and 40% is type C. Additionally, it is known to everyone that the worker types differ in their tolerance for taking an analytical course rather than easy ones in college. The A types regard the cost of each analytical course as equivalent to $3,000 a year of salary, while the C types regard it as $15,000 a year of salary. Alternative employment opportunities outside of the financial industry yield the A types a salary of $125,000 and the C types a salary of $30,000. Suppose an employer in this industry use this differential to screen his applicants and tell the A types from the C types.…