Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 244 feet and a standard deviation of 54 feet. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 216 feet? P(fewer than 216 feet) = % b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 228 feet? P(more than 228 feet) = 96 IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. (a) Find the z-score for an IQ of 100, rounded to three decimal places. (b) Find the probability that the person has an IQ greater than 100. (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). Shade: Left of a value e. Click and drag the arrows to adjust the values. +++++++ -3 H*****++++++++++++++++ -2 1 1 0 7 -1.5 2 3 (d) MENSA is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the MENSA organization. (e) Sketch the graph, and write the probability statement. n T 11 y (1) The middle 50% of IQs fall between what two values? (g) Sketch the graph and write the probability statement. Formats Edit Insert ox, x 11 e 2 N Question Help: D Post to forum Calculator Submit