Question 3 Assume 21, 22, ..., In are normally distributed with mean y and variance o2....
4. If the random variable X is normally distributed with mean = 4 and variance o2 = 2, find the values 2o such that a.) P(SX 330) = 0.4770 b.) PICOS X < 5) = 0.3770
(10pts) 2. Assume X is normally distributed with a mean of 5 and variance of 16. Determine the value of x that solves each of the following: P(x < X < 9) = 0.2 b) P(-x < X-5<x) = 0.99
Let X be normally distributed with mean 95 and variance 74. Find the variance of -3.2 + 0.7X. a. none of the answers provided here b. 51.8 c. 36.3 d. 2.8 e. 33.1
6. Consider a sample X,... X, of normally distributed random variables with mean y and variance op. Let 5 be the sample variance and suppose that n = 16. What is the value of c for which p[x - SS (C2 - 1)] = 95 ? be the 7. Consider a sample X,...,X, of normally distributed random variables with variance o? = 30. Let S sample variance and suppose that n-61. What is the value of c for which P...
Suppose that X is normally distributed with mean 0 and unknown vari- ance o2 . Then x2 /o2 has a xí with 1 degree of freedom. Find: (a) 95% confidence interval for o (b) 95% upper confidence limit for o2 (c) 95% lower confidence limit for o2
Let W be a normally distributed random variable with mean 25 and variance 4. (a) What type of distribution does Y = [(W−25)/2]^2 have? Name: ____ Parameter(s): ____ (b) Let W1, W2, . . . , W100 be a random sample from a normal population with mean 25 and variance 4. i. What type of distribution does W(bar) have? Name:____ Parameter(s):____ ii. What type of distribution does (99S^2)/4 have? Name:___ Parameter(s)____
Assume that a random variable is normally distributed with a mean of 1,200 and a variance of 360. Complete parts a through c below. What is the probability that a randomly selected value will be greater than 1, 253?
19. X is a normally distributed random variable with a mean of 8 and a variance of 9. The probability that x is greater than 13.62 is a. 0.9695 b. 0.0305 c. 0.87333 d. 0.1267
A sample of final exam scores is normally distributed with a mean equal to 22 and a variance equal to 25. Part (a) What percentage of scores are between 17 and 27? (Round your answer to two decimal places.) % Part (b) What raw score is the cutoff for the top 10% of scores? (Round your answer to one decimal place.) Part (c) What is the proportion below 14? (Round your answer to four decimal places.) Part (d) What is...
o uego 3. Metal plate thicknesses are normally distributed with a mean of 5.6mm and variance of 0.0576mm. Draw curves where relevant, 4 places past decimal: a) If 9 metal plates are averaged, what is the mean (E(X)) of the distribution of their average? What is the standard deviation? 63 1 5226 b) What is the probability that the average thickness is greater than 5.65mm ?