Let the random variable X follow a normal distribution with u = 30 and o =...
Let the random variable X follow a normal distribution with μ =40 and σ^2 =81. The probability is 0.03 that X is in the symmetric interval about the mean between which two numbers? Round to one decimal place as needed. Use ascending order
Let the random variable X follow a normal distribution with u = 20 and o2 = 11. Find the probability that X is greater than 23 and less than 28.
For Questions 1-4, let the random variable X follow a Normal distribution with mean u = 200 variance 62 = 625. Q1. A random sample of n = 50 is obtained. What are the mean and variance of the sample mean, X-Bar? a. Mean ==> b. Variance ==> Q2. What is the probability that X-Bar is greater than 204? a. What is Z-Score for X-Bar greater than 204 ==> b. P[Z> Z-Score] ==> Q3. What is the probability that X-Bar...
Let X be a random variable with a normal distribution having a mean of 30 and a known standard deviation of 16. What is the probability that X is greater than 50? A- 0.1056 B- 0.6057 C- 0.3944 D- 0.8944
Let the random variable X follow a normal distribution with a mean of 17.1 and a standard deviation of 3.2. The normal probabilities are calculated using the table of standard normal distribution where the mean and standard deviations are, respectively: A) 1 and 1. B) 10 and 0. C) 0 and 1. D) 0 and 10.
Let the random variable X follow a normal distribution with µ = 22 and σ2 = 7. Find the probability that X is greater than 10 and less than 17.
Let the random variable X follow a normal distribution with a mean of μ and a standard deviation of σ. Let X 1 be the mean of a sample of 36 observations randomly chosen from this population, and X 2 be the mean of a sample of 25 observations randomly chosen from the same population. a) How are X 1 and X 2 distributed? Write down the form of the density function and the corresponding parameters. b) Evaluate the statement:...
Sampling Distributions For Questions 6 - 8, let the random variable X follow a Normal distribution with variance σ2 = 625. Q6. A random sample of n = 50 is obtained with a sample mean, X-Bar of 180. What is the probability that population mean μ is greater than 190? a. What is Z-Score for μ greater than 190 ==> b. P[Z > Z-Score] ==> Q7. What is the probability that μ is between 198 and 211? a. What is...
Let F(u) be the distribution function of a random variable X whose density is symmetric about zero. Show that F(-u)=1-F(u)
yes 5. Let X and Y be two random variables which follow standard normal distribution. Let U = X - Y. Find the distribution function of U. Also find E[U] and Var[U).