Ten thousand people each buy a lottery ticket. Each lottery ticket costs $1. 100 people are chosen as winners. Of those 100 people, 90 will win $3, 9 will win $100, and one lucky winner will win $6000. Let X denote the profit (profit = winnings - cost) of a randomly chosen player of this game. A. Give both the possible values and probability mass function for X.

B. Find P(X ≥ 100).

C. Compute E[X] and Var(X).

In a recent telephone survey, 5,000 randomly selected teenagers were asked to cite their primary social network site. six of 10 teenagers said they use mybook as their primary social network site. a 95% confidence interval to estimate the true proportion of teenagers who use mybook as their primary social network site is found to be (0.2964, 0.9036). which of the following is a correct interpretation of the confidence level? ninety-five percent of all samples of this size would yield a confidence interval of (0.2964, 0.9036). there is a 95% chance that the true proportion of teenagers who use mybook as their primary social network site is in the interval (0.2964, 0.9036). ninety-five percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who use mybook as their primary social network site. ninety-five percent of all the samples of size 5,000 lie in the confidence interval (0.2964, 0.9036).