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9 1 point Suppose you buy 1 lottery ticket for $10. There are 1,000 tickets, where the prize for the one winning ticket is to be $547. What is your expected value? The table below summarizes the distribution. Round your answer to the nearest hundredth. Amount Won or Lost, x Probability, P(x) $547 0.001 -$10 0.999 Type your answer... 10 1 point A company manufactures calculators in batches of 45 and claims that the rate of defects is 0.14. Find the probability of getting exactly 5 defects. Don't forget to identify the values of n, x, p, and q before computing. If your rate is given as a percent, remember to write it as a decimal first. Use the binomial probability formula and write your answer as a decimal rounded to four places. Type your answer... 11 1 point A crewmate on an airship completes tasks every morning in March. The number of tasks completed has a Poisson distribution with a mean of u = 9.0. Find the probability that on a randomly selected morning, the number of tasks completed is x = 19. Use the Poisson Distribution to find the indicated probability. Write your answer as a decimal rounded to four places