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The mean number of animals in a forest of a certain variety is 40, and the standard deviation is 4. A random sample of 80 animals is taken. What is the approximate distribution of the total number o
Let 18 and 10 be the standard deviations of the independent random variables X and Y, respectively. What is the standard deviation of the random variable U = X - Y. Explain and show work?
The random variable X has mean 9 and standard deviation 8. What is the mean and the variance of 2X,respectively? Explain and show your work.
Let U be a uniform (0, 1) random variable. Suppose that n trials are to be performed and that conditional on U = u these trials will be independent with a common success probability u. Compute the m
Suppose that the distance from one end of a pole and the other be modeled by a normal distribution with mean 47.5 and standard deviation of 0.5. Calculate the value of the distance that is exceeded
2) If f (x1,x2 ) = 2*exp (-x1 - x2) for 0<x1<x2<infinity. Find the joint pdf for Y1=2X1 and Y2 = X2 - X1. Are Y1 and Y2 independent.
The length of time (in seconds) that a user views a page on a Web site before moving to another page is a lognormal random variable with parameters mean= 0.5 and variance (w^2)= 1
Suppose that contamination particle size (in micrometers) canbe modeled as f(x) = 2x-3 for 1<x and f(x) = 0 for x<= 1
The listing price of a random sample of two-year-old Honda Civics was obtained for four cities in the United States. The data are summarized in the table below. Assume that prices of two-year-old Ho
What proportion of corks produced by this machine are defective? (Round the answer to four decimal places.)
Is there a relationship between the opinion and the location of the resident at a level of significance of 0.05?
Note that Network A fails if (component 1 or3 fails) and(component 2 or4 fails); Network B fails if (component 1and2 fail) or (component 3 and4 fails). (i) Estimate the mean of the time-to-failure f
Build a linear model by using Y as the outcome variable and X1 and X2 as the predicting variables. Make sure to write down the equation of the model.
Construct a design that blocks on tasters, and also randomizes both in the baking and the tasting stage. You do not have to do the randomization, but clearly explain how the experiment will be condu
A sample of 77 individuals working at a particular construction site office was selected at random. The noise level (dBA) experienced by each individual was determined. The site manager is curious
Calculate the probability of a health hazard for the city on a given day? What is the probability of NO health hazard in 30 days? What is the probability of NO health hazard in one year (365 days)?
Let X, the number of flaws on the surface of a randomly selected boiler of a certain type, have a Poisson distribution with parameter ? = 5.
Assume that whether or not a car is faulty is independent of whether or not any other car is faulty and that the probability that a car is faulty remains constant. Use an appropriate probability mod
The head of the English department wants to determine if the average number of students taking an English course differs depending upon the time of the day that the course is being offered. Is there
An anatomy teacher hypothesizes that the final grades in her class are distributed as 10% A's, 23% B's, 45% C's, 14% D's, and 8% F's. At the end of the semester, she has the following grades.
A psychologist wants to determine if there is a linear relationship between the number of hours a person goes without sleep and the number of mistakes he/she makes on a simple teat. The following da
Using a significance level of 0.05, what should Channel 9 conclude about the average ages of news viewers of the three stations?
The police department for a major city has found that the average height of their 1,250 officers is 71 inches, with a standard deviation of 2.3 inches. Using the normal curve table, answer the follo
Find the z-score corresponding to a score of X=23 for each of the following distributions. Show the formulas used and plug in the numbers for each u (population) and o (standard deviation) value (s
The total blood cholesterol concentrations, in mg/dL, are shown below for a random sample of six people. In the table below, x is the age of the subject and y is the subject's total cholesterol conc