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Question: Take a unit cube in three dimensions. Cut the cube by a plane perpendicular to the line from its corners (0, 0, 0) and 1, 1, 1), that cuts this line at the point (t/3,t/3, t/3).
a) What is the cross-sectional area of this slice through the cube?
b) Check your answer by describing geometrically the shape of the cross section in the case when t 1 and t = 3/2.
If the random variable X has the mean μ and the standard deviation σ, show that the random variable Z whose values are related to those of X by means of the equation
One definition of a low-mileage car is one that is 4 years old and has been driven less than 45,000 miles. What percent of the cars returned are considered low-mileage?
the horn on an auto operates on demand 99 of the time. assume that each time you hit the horn it works or fails
Students revealed and average cost of books of $370 per student. The Dean of Students believes that cost are greater this semester. What is the test value for this hypothesis?
Suppose you have developed a regression model to explain the relationship between y and x1, x2, and x3. The ranges of the variables you observed were as follows: 10 y 100, 5 x1 55, .5 x2 1, and 1,000 x3 2,000. Will the error of prediction be smal..
a government testing agency studies aspirin capsules to see if customers are getting cheated with capsules that contain
Find the probability of getting a head and rolling a six
Crime-related and demographic statistics for 47 US states in 1960 were collected from government agencies, including the FBI's Uniform Crime Report.
With a=.05 and a sample of n=15 in a repeated-measures study comparing two treatments, what are the t statistic boundaries for the two-tailed critical region?
In a recent study of adult eye color, the hypothesized distribution was given as blue 25%, green 10%, brown 50%, and black 15%.
Hanna Properties specializes in custom-home resales in the Equestrian Estates, an exclusive subdivision in Phoenix, Arizona. A random sample of nine custom homes currently listed for sale provided the following information on size and price.
Standardized scores offers a way of comparing norm-referenced scores. The z-score distribution is based on knowing how many standard deviations away from the mean a certain score is.
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