Name Follow up 10/24: 6.1 & 6.2 Normal Distribution Due in-class on Thursday 10/
ID: 3336462 • Letter: N
Question
Name Follow up 10/24: 6.1 & 6.2 Normal Distribution Due in-class on Thursday 10/26 1. About what percent of x values from a normal distribution are a. within one standard deviation (left and right) of the mean of that distribution? About 69% b. more than two standard deviations away from the mean (both sides)? c. between the 2 standard deviations to the left of the mean and one standard deviation to the right of the mean? Like Exercise 76. 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. 2. If X distance in feet for a ny ball, then X ~ ) 3. If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 220 feet? a. Write the probability statement. b· Label the curve with the and x, shade the region corresponding to the probability on the density curve c. Find the z-score. d. Find the exact probability with an app or online tool.Explanation / Answer
Solution 1) (a) If a data distribution is approximately normal then about 68 percent of the data values are within one standard deviation of the mean (mathematically, ± , where is the arithmetic mean),
(b) about 95 percent are within two standard deviations ( ± 2)
(c) 2 SD to left = 34%+13.5%
1 SD to right = 34%
total = 81.5%
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.