Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 268 feet and a standard deviation of 37 feet. Let X be the distance in feet for a fly ball.   b. Find the probability that a randomly hit fly ball travels less than 295 feet. Round to 4 decimal places.  c. Find the 90th percentile for the distribution of distance of fly balls. Round to 2 decimal places.  feet

A variable is normally distributed with a mean of 17 and a standard deviation of 8. Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed.a) Find the area to the left of 20. b) Find the area to the left of 11. c) Find the area to the right of 14. d) Find the area to the right of 21. e) Find the area between 11 and 26

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The scores on a mathematics exam have a mean of 65 and a standard deviation of 7. Find the x-value that corresponds to the z-score - 2.575. Round the answer to the nearest tenth. O A. 62.4 O B. 83.0 O C. 47.0 O D. 58.0

Please answer D, E, & F.

uppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 263 feet and a standard deviation of 42 feet. Let X be the distance in feet for a fly ball. c. Find the 70th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet

Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. Find the probability that a randomly selected thermometer reads between −2.25 and −1.65 and draw a sketch of the region.   Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING...       Question content area bottom Part 1 Sketch the region. Choose the correct graph below.     A.             -1.65-2.25         A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, both on the left side. Moving from left to right, the region left of the first line is shaded. The z-axis below this line is labeled negative 2.25. The z-axis below the second line is labeled negative 1.65.   B.             -1.65-2.25         A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, both on the left side. The region between the 2 lines is shaded. Moving from…

A forest ranger has data on the heights of a large growth of young pine trees. The mean height is 3.2 feet and the standard deviation 0.6 feet. A histogram shows that the distribution of heights is approximately normal. Approximately what proportion of the trees should we expect to be between 4.0 and 4.4 feet tall? A) 0.02  B) 0.07   C) 0.91  D) 0.98

Assume the selling prices of homes in a particular community follow a normal distribution with a mean of $263,100 and a standard deviation of $43,200. Complete parts a through c. a. Determine the range of selling prices in this community that includes one standard deviation around the mean. The range is from $ to $ (Type integers or decimals. Use ascending order.) b. Determine the range of selling prices in this community that includes two standard deviations around the mean. The range is from $ to $ (Type integers or decimals. Use ascending order.) c. Determine the range of selling prices in this community that includes three standard deviations around the mean. The range is from $ to $1. (Type integers or decimals. Use ascending order.)

Assume that adults have IQ scores that are normally distributed with a mean of u= 105 and a standard deviation o = 15. Find the probability that a randomly selected adult has an IQ between 91 and 119. Click to view page 1 of the table. Click to view page 2 of the table. ces The probability that a randomly selected adult has an IQ between 91 and 119 is (Type an integer or decimal rounded to four decimal places as needed.) Exp The use