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QUESTION 1 High temperatures in a certain city for the month of August follow a uniform distribution over the interval 65 degrees F to 90 degrees F. What is the probability that a randomly selected August day has a high temperature that exceeded 70 degrees F? Answer to 2 decimal places. QUESTION 2 A machine is set to pump cleanser into a process at the rate of 9 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 8.5 to 11.5 gallons per minute. Find the probability that between 9.0 gallons and 10.0 gallons are pumped during a randomly selected minute. Answer to 2 decimal places. QUESTION 3 A random variable X is normally distributed with mean of 60. Convert the value of X to a Zscore, if the standard deviation is 11 and X = 71, answer to 2 decimal places. QUESTION 4 Find the area under the standard normal curve between 2 = -1.5 and z = 2.5. Answer to 3 decimal places. QUESTION 5 IQ test scores are normally distributed with a mean of 97 and a standard deviation of11. An individual's IQ score is found to be 123. Find the zscore corresponding to this value. Answer to 2 decimal places. QUESTION 6 Find the zscores for which 98% ofthe distribution's area lies between -2 and z. A} (-2.33, 2.33) B) (-1.645, 1.645) C} (-1 .96, 1 .96) D} (-0.99, 0.99) QUESTION 1 8 Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. Find the proportion of buyers who paid more than $ 154,200 if the standard deviation is $1700. Answer to 4 decimal places. QUESTION 1 9 The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 514 and the standard deviation was 72. If the board wants to set the passing score so that only the best 80% of all applicants pass, what is the passing score? Assume that the scores are normally distributed. Answer to 1 decimal place