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During certain time periods at a hospital, patients arriving at the emergency room have waiting times that are uniformly distributed between 0 and 9 minutes. Assume that a patient is randomly selected, and find the probability that the waiting time is greater than 1.25 minutes. Find the probability that a randomly selected patient has a waiting time greater than 1.25 minutes. (Simplify your answer. Round to three decimal places as needed.) Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. z= -0.87 z=1.27 The area ofthe shaded region is (Round to four decimal places as needed.) Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is less than 1.66 and draw a sketch of the region. Sketch the region. Choose the correct graph below. V Q Q Q Q Q Q Q Q a Z a a 1.66 >1.66 1.66 >166 1.66 The probability is (Round to four decimal places as needed.) Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and nd the probability of a bone density test score greater than 0. Sketch the region. Choose the correct graph below. A. B. C. D. Q q a a a a 0 0 0 0 9,9 9,9 9,9 Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. 102 130 9,9 The area of the shaded region is . (Round to four decimal places as needed.) Assume that an adult female is randomly selected. Suppose females have pulse rates that are normally distributed with a mean of 72.0 beats per minute and a standard deviation of 12.5 beats per minute. Find the probability of a pulse rate between 56 beats per minute and 68 beats per minute. (Hint: Draw a graph.) The probability is (Round to four decimal places as needed.) For the purposes of constructing modified boxplots, outliers are defined as data values that are above Q by an amount greater than 1.5 x IQR or below Q, by an amount greater than 1.5 x IQR, where IQR is the interquartile range. Using this definition of outliers, find the probability that when a value is randomly selected from a normal distribution, it is an outlier. The probability that a randomly selected value taken from a normal distribution is considered an outlier is (Round to four decimal places as needed.)Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and nd P17, the 17th percentile. This is the bone density score separating the bottom 17% from the top 83%. Which graph represents P17? Choose the correct graph below. Q Q Q Q Q Q Q Q D\" D\" D" D" P17 P17 P17 P17 The bone density score corresponding to P17 is (Round to two decimal places as needed.) The lengths of pregnancies are normally distributed with a mean of 270 days and a standard deviation of 15 days. a. Find the probability ofa pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 2%, then the baby is premature. Find the length that separates premature babies from those who are not premature. Click to view page 1 of the table. Click to view page 2 of the table. a. The probability that a pregnancy will last 309 days or longer is (Round to four decimal places as needed.)