Assume z follows a standard normal distribution: a.P(X=2) b.P(X<2) c.P(X>=2) d.P(2 < X < 4)
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Assume z follows a standard
a.P(X=2)
b.P(X<2)
c.P(X>=2)
d.P(2 < X < 4)
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- For a normal distribution with a mean of µ=100 and a standard deviation of σ= 15, find each of the following probabilities and please indicate the region; body or tail: Draw the curve to show body or tail a. P(X < 85) b. P(X < 130) c. P(95 < X < 105)Use Table A to find the proportion of the standard Normal distribution that satisfies each of the following statements. (b) z > 3.24 (a) z 0.18 (d) 0.18 < z < 3.24 (a) (b) (c) (d)The following figure shows the normal distribution with the proportion of the area under the normal curve contained within one, two, and three standard deviations of the mean. The last proportion on each side, 0.13%, depicts the remaining area under the curve. Specifically, 0.13% of the area under the standard normal distribution is located above z-score values greater than the mean (u) plus three standard deviations ( +30). Also, because the normal distribution is symmetrical, 0.13% of the area under the standard normal distribution is located below z-score values less than the mean () minus three standard deviations (-30). 34.13% 34.13% 13.59% 13.59% 2.19% 0. 13% 2.19% 0.13% -20 *lo *20 Use the figure to help you answer the following questions: The National Assessment of Educational Progress (NAEP) is a nationwide assessment of students' proficiency in nine subjects: mathematics, reading, writing, science, the arts, civics, economics, geography, and U.S. history. The main NAEP…
- Let Z has a standard normal distribution, then P (Z=0) = 0.5 ulgn O ihs OEx4: Assume that Z has a standard normal distribution. Determine the following: a/P(Z -2.15) and P(-2If Z is a standard normal distribution, what is P(|Z| < 1.44)? (a) 0.93 (b) 0.85 (c) 0.90 (d) 0.80 (e) None of the aboveSuppose that variable z has a standard normal distribution. Use the attached table to findthe particular z value (zo) that satisfies(a) Pr (z ≥ zo) = .0099,(b) Pr (z ≤zo) = .8907, (c) Pr(z ≤ zo) = .0179,(d) Pr(z ≥ zo) = .6985,(e) Pr(-zo ≤ z ≤ zo) = .5762, (f) Pr(zo ≤ z ≤1.00) = .7056.In a normal distribution find P(-1.2 < Z < 0.64)15Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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