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Standardize a Normally Distributed Random Varlable Question Suppose X~N(13.5, 1.5), and 9. Find and interpret the z...
Question Suppose X∼N(12.5,1.5), and x=11. Find and interpret the z-score of the standardized normal random variable. Provide your answer below: The z-score when x=11 is . The mean is . This z-score tells you that x=11 is standard deviation(s) to the left of the mean
Find the probability that a normally distributed random variable x will lie more than z = 1.85 standard deviations above its mean.
Question 13 4 pts Z-scores A variable is normally distributed, with mean 118 and standard deviation 30. What is the Z-score when x = 100? (Select] What x value is 1.5 standard deviations above the mean? [Select) > Question 14 6 pts Normal Distribution A variable is normally distributed, with mean 118 and standard deviation 30. What is P(60 SXS 160)? (Select) What is P(x2130)? Select) What is the top 10%? [Select
2. Suppose that the normally distributed random variable X has mean and standard deviation a. Calculate the z-score of the value x=36. b. Calculate the value that corresponds to a Z-score of a)x= 36 22 b)2=-24 -
of the random variable x. Suppose x is a normally distributed random variable with u = 34 and 0 = 4. Find a value a. P(x 2 Xo)=5 b. P(X<Xo) = .025 c. P(x>x) = 10 d. P(x > Xo) = .95 Click here to view a table of areas under the standardized normal curve. a. Xo = (Round to the nearest hundredth as needed.)
Suppose the random variable X is normally distributed with mean (mu) equal to 20 and the standard deviation (sigma) equal to 5, what is the standardized value for x = 35, and what is the resulting distribution?
STAT 10 Study guide for Test 2 1. Assume the random variable x is normally distributed with mean = 50 and standard deviations = 8.1. Compute the following probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. Round your answers to two decimal places a. P(x > 48.5) b. P(45 <x<51) 2. There are two college entrance exams that are often taken by students, Exam 1 and Exam 2. The composite score on...
2. Find each of the following probabilities. Suppose x is a normally distributed random variable with-11 and ơ a. P(x2 14.5) b. P(xs 10) c.P/12.26sxs 16.02) d. P(5.5sxs14.48) Click here to view a table of areas under the standardized normal curve. a. P/xz 14.5)-(Round to three decimal places as needed.)
Suppose X ~ N (10, 6). This says that x is a normally distributed random variable with mean μ = 10 and standard deviation σ = 6. Suppose x = 20, then x= 20 means that it is: a) 1.67 above mean b) 1.67 below mean c) 0.67 above mean d) 0.67 below mean
Suppose x is a normally distributed random variable with 13 and Find each of the following probabilities Click here to view a table of areas under the standardized normal curve. a. P(x 2 14.5)-(Round to three decimal places as needed) b. P(x s11)=L 1 (Round to three decimal places as needed.) c. P(13 66ss 17.8)= ] (Round to three decimal places as needed) d. P(7.96 srs 15 44)= (Round to three decimal places as needed.) Enter your answer in each...