A fair die is rolled 12 times and X is the amount of sixes that new\". Find the mean: variance: and standard deviation of X. A company begins screeningjob 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} = SIB 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. Number 2 3 4 Winnings $1 $2 $5 $8 a. Find the expected return for one spin of the spinner. dollars b. Find the expected gin if it cost $5 to play each game. dollars C. Is this a fair game? "Yes" or "No".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 9. find the mean weight of the population. 64.315 9 An archer has a 90% chance of hitting a target with arrows. |f5 arrows are fired, determine the chance of hitting the target: a} twice only 0.0081 b} at most 3 times 0.08146 The annual income and average weekly grocery bill for a selection of families is shown below. Income (x thousand pounds) 55 36 25 47 60 64 42 50 Grocery bill (y pounds) 120 90 60 160 190 250 110 150 Find the regression line of y against x.\fA sample of cans of peaches was taken from a warehouse, and the contents of each can was weighed. The sample mean was 486 g with standard deviation 5 Q. What percentage of the population is below 4T8 g? The data below show me quantity of feed eaten and the number of eggs laid in a fortnight by 12 Leghorn chickens. Find the linear regression of it against y. It is known that 56% of Infiglow batteries have a life of less than 16 hours, and 94% have a life less than 17 hours. It can be assumed that battery life is modelled by the normal distribution NV (#, ?). Find the value of a and o.The following tables lists the probabilities associated with the number of books that Pam checks out when she visits the library. \"nun mm The value of a is - On average, how many books does Pam borrow\"? (Le. Em