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A function sometimes associated with a continuous nonnegative random variable is the failure rate (or hazard rate) function which is defined as:
r (t) = f(t) / (1 - F(t))
For a density function f (t) with corresponding cdf F (t). This function has a number of different uses, particularly in survival analysis Derive r (t) for the case where T is an exponential distribution with parameter Beta.
The standard deviation of the population of adult female height scores is 3 inches. A random sample of 50 women yields a mean height of 64 inches. Calculate the standard error of the mean.
In how many different ways can 5 songs be arranged if a particular song must be the first on the EP?
A consumer organization estimates that over a 1-year period 17 percent of cars will require to be repaired once, 7 percent will need repairs twice, and 4 percent will require three or more repairs. What is the probability that a car chosen at rand..
Test for significant differences among weight losses for the five diets, and perform all pair wise comparisons using:
By constructing null and alternative hypotheses, computing critical values, and comparing test statistic to critical value.
What is the probability of getting someone who is in the 23-30 age brackets or whom smokes?
Assume that the distribution of heights of adults American normally distributed, with mean 69 inches and standard deviation 2.8 inches.
An old saying in golf is "you drive for show and you putt for dough." The point is that good putting is more important than long driving for shooting low scores and hence winning money.
In rectangular coordinate system, determine the distance between the points (-4,1) and (8,6).
At 0.05 level of significance, is there enough evidence to conclude that difference exists between proportion of students who have ear infections at one school and the other?
A probability value of .25 means that an event will occur:
Perform pair wise comparisons of the treatment means by computing a Tukey simultaneous 95 percent confidence interval for each of the pair wise differences μ1 - μ2, μ2 - μ3, and μ2 - μ3. Which type of program content results in the worst mean bran..
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