A fair die is relied 12 times and X is the amount of sixes that result. Find the mean, variance, and standard deviation of X. l-'U'b'ltiLt PUIN I25: I) A company begins screening job applicants for illegal drug use early on in their hiring process. The test they use has a false positive rate of 2% and a false negative rate of 1%. Suppose that 5% of their applicants are actually using illegal drugs and we select one at random. Given the applicant tests positive, what is the probability the person is actually on drugs. State your answer as a percent with 3 sig gs. P(A|B) = Suppose you flip a coin 3 times. Let X be the number of tails flipped. Determine P(X=2). P(X=2) =In a game of chance. a player spins a square spinner labelled 1, 2, 3,4. The player earns an amount of money detailed in the table below. II.\" mm a. Find the expected return for one spin of the spinner. E dollars b. Find the expected gin if it cost $5 to play each game. E dollars o. Is this a fair game? "Yes" or"No". E POSSIBLE POINTS: 5 The weights of an adult scallop population are known to be normally distributed with a standard deviation of 5.9 g. If 15%of scallops weigh less than 58.2 g, find the mean weight of the population. g