Find the value of * that yields the probability shown, where X is a normally distributed random variable X with mean 54 and standard deviation 12. 1. P(Xz*)=0.6500 49.32 Answer 1: 37.92 Answer 2: 49.32 Heights of women are normally distributed with mean 63.7 inches and standard deviation 2.47 inches. 1. Find the height that is the 10th percentile. 60.5384 2. Find the height that is the 80th percentile. 63-7748 Answer 1: 60.5384 Answer 2: 65.7748 The average finishing time among all high school boys in a particular track event in a certain state is 5 minutes 17 seconds. Times are normally distributed with standard deviation 12 seconds. 1. The qualifying time in this event for participation in the state meet is to be set so that only the fastest 5% of all runners qualify. Find the qualifying time in seconds (round it to the closest second). (Hint: Convert minutes to seconds.) 297 . In the western region of the state the times of all boys running in this event are normally distributed with standard deviation 12 seconds, but with mean 5 minutes 22 seconds. Find the proportion of boys from this region who qualify to run in this event in the state meet. (Hint: normalcdf) -2.083 Answer 1: 297 Answer 2: -2.083 Incorrect Question 2 Find the value of * that yields the probability shown, where X is a normally distributed random variable X with mean 54 and standard deviation 12. 1. P(Xz*)=0.6500 4937615 Answer 1: 37.91094 Answer 2: 49.37615 Heights of women are normally distributed with mean 63.7 inches and standard deviation 2.47 inches. 1. Find the height that is the 10th percentile. 60.53457 2. Find the height that is the 80th percentile. 6-7788 Answer 1: 60.53457 Answer 2: 65.7788 The average finishing time among all high school boys in a particular track event in a certain state is 5 minutes 17 seconds. Times are normally distributed with standard deviation 12 seconds. 1. The qualifying time in this event for participation in the state meet is to be set so that only the fastest 5% of all runners qualify. Find the qualifying time in seconds (round it to the closest second). (Hint: Convert minutes to seconds.) 297 . In the western region of the state the times of all boys running in this event are normally distributed with standard deviation 12 seconds, but with mean 5 minutes 22 seconds. Find the proportion of boys from this region who qualify to run in this event in the state meet. (Hint: normalcdf) 0.01962671 Answer 1: 297 Answer 2: 0.01962671