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D Question 10 6 pts The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8 cm. a) Find the probability that an individual distance is greater than 192.8 cm. . U= m 0 = m . P(x > 192.8) = b) Find the probability that the mean for 25 randomly selected distances is greater than 192.8 cm. . HI-bar = . Or-bar = . P(X > 192.8) =D Question 11 4 pts An engineer is going to redesign an ejection seat for an airplane. The seat designed for pilots weighing between 130 lb and 181 lb. The new population of pilots has normally distributed weights with mean of 138 lb and a standard deviation of 31.1 lb. a) If a pilot is randomly selected, find the probability that his weight is between 130 lb and 181 lb. b) If 30 different pilots are randomly selected, find the probability that their mean weight is between 130 lb and 181 lb.D Question 12 10 pts Assume that foot lengths of women are normally distributed with a mean of 9.6 in. and a standard deviation of 0.5 in. a) Find the probability that a randomly selected woman has a foot length less than 10.0 in. b) Find the probability that a randomly selected woman has a foot length greater than 11.25 in. (Please do NOT use scientific notation.) c) Find the probability that a randomly selected woman has a foot length between 8.0 in. and 11.0 in. d) Find Pos . e) Find the probability that 25 women have foot lengths with a mean greater than 9.8 in.Find the indicated zscore. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. z I] Round your answer to 2 decimal places. Question 3 2:13 Find the indicated z-score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. z 9 Round your answer to 2 decimal places. l; Question 5 4 pts Pulse rates of women are normally distributed with a mean of 77.7 beats per minute and a standard deviation of 11.6 beats per minuted. What are the values of the mean and standard deviation after converting all pulse rate of women to z-scores using 2' = '13\" ? 0' (I! F1 The graphs given depicts IQ scores of adults, and those are normally distributed with a mean of 100 and a standard deviation of 15. Answer the following questions. a) Find the area of the shaded region. b) Find the indicated IQ score. 0.97