Let the random variable X follow a normal distribution with a mean of 61.7 and a standard deviation of 5.2. What is the value of A such that P(59 < X < A) = 0.54?
Let the random variable X follow a normal distribution with a mean of 61.7 and a...
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 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:...
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 X represent a random variable whose distribution is normal, with a mean of 40 and a standard deviation of ?. Are these two probabilities below equal or not? Explain your reasoning. ?(? ≥ 65) vs. 1−?(? > 83)
if x is a random variable with a normal distribution with a mean -7.2 and a variance 5.9. The value of X that is 1.67 from his standard deviation of his mean is...
6. Let X be a normal random variable with mean u = 10. What is the standard deviation o if it is known that p (IX – 101 <>) =
Let X be a normal random variable with mean 50 and standard deviation 8. Find P(X < 65) P(X < 45) For what value of y is it true that P(X < y) =0.60?
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 normal random variable with mean 1000 and standard deviation 50. What is P(950 < x < 1100)?
Suppose the random variable X follows a normal distribution with mean µ = 84 and standard deviation σ = 20. Calculate each of the following: P(X > 100) P(80 < X < 144) P(124 < X < 160) P(X < 50) P(X > X*) = .0062. What is the value of X*?