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)
Let X represent a random variable whose distribution is normal, with a mean of 40 and...
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.
Detemine whether the following graph can represent a variable with a normal distribution. Explain your reasoning. If the graph appears to represent a normal dstribution, estimate the mean and standard deviaton. 10 15 20 25 30 35 Could the graph represent a variable with a normal distribution? Explain your reasoning Select the correct choice below and, if necessary, fit in the answer boxes within your choice O A. No, because the graph is skewed let OB. Yes,the graph fulfis the...
Determine whether the graph shown could represent a variable with a normal distribution. Explain your reasoning. If the graph appears to represent a normal distribution, estimate the mean and standard: deviation. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The graph could not represent a variable with a normal distribution because the graph is skewed to the right. B. The graph could represent a variable with a normal distribution because the curve is...
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 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 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 discrete random variable with a geometric distribution whose mean is 2. (a) Find P(X ≥ 6|X > 4), your answer should not have a summation. (b) Let Z = X + 3. Find the mean and variance of Z.
QUESTION 1 A random variable X follows a normal distribution with mean 350 and standard deviation 65. If a sample of size 15 is taken, find P(X> 325). (3 decimal places)
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...
8. Let the random variable x represent the number of girls in a family with three children. Assume the probability of a child being a girl is 0.35 The table on the right describes the probability of having x number of girls. Determine whether the table describes a probability distribution. If it does, find the mean and standard deviation. Is it unusual for a family of three children to consist of three girls? x P(x) 0 0.275 1 0.444 2 ...