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The lifetimes of brakes manufactured by company A are random with density function g(x)=\begin{cases} \frac{1}{8}e^{-x/8} & x>0\\ 0 & x\le 0. \end{cases}
Let R be the region in the first quadrant bounded by the curves y=x and y=x^{5}. A random point (X,Y) is selected from R. a) Calculate the marginal probability density functions of X and Y.
Two points along a straight stick of length 39 cm are randomly selected. The stick is then broken at those two points. Find the probability that all of the resulting pieces have length at least 7 cm
The cost of a college education has increased at a much faster rate than costs in general over the past twenty years. In order to compensate for this, many students work part- or full-time in additi
Assuming that the population standard deviation for improvement in test scores is thought to be 30 points and the level of significance for the hypothesis test is 0.05, find the critical value in te
Compute the power of the hypothesis test to reject the null hypothesis if the true average starting salary is only $47,000. Assume that the population standard deviation is known to be $4,600 and th
Calculate the probability of a Type II error if the true mean is 14%. Assume that the population standard deviation is known to be 2% and that a significance level equal to 0.01 will be used to cond
The largest the standard error of the sample percentage could be is _____. The bootstrap estimate of the standard error of the sample percentage is _____.
Design a box model for your winnings (in dollars) on a single $1 bet on a pair of numbers in a game of Keno. Use as few balls as possible. Place the "values" in the table in ascending order (from sm
A major issue facing many states is whether to legalize casino gambling. Suppose the governor of one state believes that more than 55% of the state's registered voters would favor some form of legal
A control chart for fraction nonconforming indicates that the current process average is 0.03. The sample size is constant at 200 units.
Use a = 0.05 for each problem. Go through each of the following steps for the problem. State the null and alternative hypotheses. State the significance level for this problem.
How large of a sample is required? How large of a sample would be necessary if no estimate were available for the proportion that support current policy?
A sample of n = 16 scores has a mean of M = 65 and an estimated standard error of 2 points. What is the sample variance?
One school district, who adopted the use of the nonprofit's tutoring program and whose dropout rate has always been very close to the state average, reported in 2004 that 142 of their 1774 students
The other assumption of the binomial is that whether one student successfully completes the course does not affect whether any other student is successful.
A sales manager collected the following data on annual sales and years of experience. The estimated regression equation is Ybar=80+4x
A design is made up of five components in parallel. Only one of the components must function for the system to operate. The failure time of two of the components is exponentially distributed with pa
Suppose that the lengths are normally distributed. A quality specialist collects a random sample of 16 rods and finds the sample mean length to be 14.8 feet and a standard deviation of 0.65 feet. Wh
Which parts of the (ANOVA) null hypthesis are rejected by Newman-Keuls procedure? Use the closest number of degress of freedom.
We wish to test the null hypothesis that there is no linear relationship between the pretest score and the score on the final exam against the two-sided alternative.
Find a 95% confidence interval for the slope in each of the following settings: (note it is y caret)
A loss X this year has the pdf f(x) = 2(1+x)^-3, x>0, zero otherwise. Next year the loss will increase by 20%. Next year a deductible of 1 will be imposed. Calculate the expected payment next yea
In a market research study conducted by a local winery on white wine preference, the following results were found. Of a sample of 500 men, 120 preferred white wine and of a sample of 500 women, 210