1Q is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = \Q of an individual. (a) Find the z-score for an IQ of 91, rounded to three decimal places. (b) Find the probability that the person has an IQ greater than 91. (c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z- score. Use your z-score from part (a), rounded to one decimal place).

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Use the formula to find the standard error of the distribution of differences in sample means, x¯1-x¯2.Samples of size 115 from Population 1 with mean 94 and standard deviation 14 and samples of size 85 from Population 2 with mean 75 and standard deviation 17Round your answer for the standard error to two decimal places.standard error = Enter your answer in accordance to the question statement

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 48 feet. We randomly sample 49 fly balls. Part A. B. C. are listed in the included images.

Assume that adults have 1Q scores that are normally distributed with a mean of 103.1 and a standard deviation of 24.4. Find the probability that a randomly selected adult has an IQ greater than 131.3. (Hint: Drawa graph.) The probability that a randomly selected adult from this group has an IQ greater than 131.3 is (Round to four decimal places as needed.)

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. Click to view page 1 of the table, Click to view page 2 of the table. Step 1 теan(u) s tan dard o 90 115 The area of the shaded region is (Round to four decimal places as needed.) Step 2 Required pr X-µ = P = P (Z < 1 = P (Z < 2 = 0.9773 Enter your answer in the answer box and then click Check Answer. %3D All parts showing Clear All Final Check P Type here to search hp

Assume that the mean height of men in the United States is 70 inches, with a standard deviation of 3 inches.  A particular man is 80 inches tall.  Find the z-score of his height.  (Round to two decimal places.)

David and Patrick are playing baseball for the Cafe Tropical  team.  Suppose that the distance of fly balls  hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. If X = distance in feet for a fly ball, then X ~ N ( , ) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled less than 220 feet? Sketch the graph. Scale the horizontal axis X. Shade the region corresponding to the probability. Find the probability. P = Find the 80th percentile of the distribution of fly balls. 80th Percentile: feet