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E Queson 8 4 pts How many ways can 3 people be chosen and arranged in a straight line if there are 8 people to choose from? E Question 9 4 pts There are 11 members on a board of directors. If they must form a subcommittee of 5 members, how many different subcommittees are possible? Find the missing value required to create a probability distribution, then find the standard deviation for the given probability distribution. Round to the nearest hundredth. X / P(x) 0 / 0. 13 1 / 2 / 0.04 3 / 0.07 4 / 0. 15 D Question 11 4 pts A contractor is considering a project that promises a profit of $33,137 with a probability of 0.64. The contractor would lose (due to bad weather, strikes, and such) of $7,297 if the project fails. What is the expected profit? Round to the nearest cent.According to a college survey, 66% of all students work full time. Find the mean for the number of students who work full time in samples of size 46 (rounded to the nearest hundredth). E Question 13 4 pts An archer is able to hit the bull'seye 29% of the hme. If she shoots 14 arrows, what is the probability that she gets exactly 1 bull'seyes? Assume each shot is independent of the others. Express your answer as a percentage rounded to the nearest hundredth without the % sign. A survey for brand recognition is done and it is determined that 69% of consumers have heard of Dull Computer Company. A survey of 16 randomly selected consumers is to be conducted. For such groups, would it be unusual to get 3 consumers who recognize the Dull Computer Company name? Why or why not? Explain your answer using descriptive statistics and/or probability appropriately. If your reasoning requires a zscore, enter the z score rounded to the nearest hundredth. If your reasoning requires a probability, enter the probability as a decimal rounded to the nearest tenthousandth. E Question 15 4 pts A naturalist leads whale watch trips every morning in March. The number of whales seen has a Poisson distribution with a mean of1.48. Find the probability that on a randomly selected trip, the number of whales seen is 2. Express your answer as a percentage rounded to the nearest hundredth. Suppose the probability of contracting a certain disease is 1 in 64 for a new case in a given year. Approximate the probability that in a town of 283 people there will be at least one new case of the disease next year. Express your answer as a percentage rounded to the nearest hundredth without the % sign. I Question 17 6 pts Helene claimed that the expected value when rolling a fair die was 3.5. Steve said that wasn't possible. He said that the expected value was the most likely value in a single roll of the die, and since it wasn't possible for a die to turn up with a value of 3.5, the expected value couldn't possibly be 3.5. Who is right? Draw the standard normal distribution. Shade the area between the Zscore of 2.27 and 0.84. Find the shaded area. Round to the nearest tenthousandth. E Question 19 4 pts Draw the standard normal distribution. The shaded area to the right of the Z-score is 0.0314. Find the Zscore. Round to the nearest hundredth. E Question 20 4 pts Suppose that replacement times for washing machines are normally distributed with a mean of 7.7 years and a standard deviation of 3.9 years. Find the replacement time that separates the top 28.1% from the rest. Round to the nearest hundredth