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Let ABCD be a general tetrahedron and let P, Q, R, S be the median centres of the faces opposite to the vertices A, B, C, D respectively.
Show that the lines AP, B Q, C R, DS all meet in a point (called the centroid of the tetrahedron), which divides each line in the ratio 3:1.
question suppose that x xijnx2 is an observed data matrix from a bivariate normal distribution nmusigma2i where i is
Find the number of viewers that represents the 75th percentile and on one particular night, 24 million people watched 60 minutes. Is this unusual?
A coin was flipped twenty times and landed heads fifteen times. Based upon this information, answer the following the question:
The management of White companies considering a new method of assembling its golf cart. Compute which assembly time using the new method is faster.
The price of a book depends on the length. Let the random variable C denote the price of a book in dollars. If C = 4 + 0.1*P, what is the expected value of the price of a book?
In a statistics lecture, students are asked whether or not they enjoyed doing statistics. Random sample of 50 students was taken and 30 of them said that they enjoyed doing statistics.
In a normal curve, what percentage of scores falls Between the mean and -2 SD's below the mean?
the management of a shop has gathered data on customer purchasing habits and knows that 20 its customers typically make
Is the true proportion of college women that have been on a diet within the last 12 months in this survey more than the stated proportion?
Model Fitness. With any statistical model, we assess the fit: Does the model accurately depict the truth? Explain how one of the following helps assess the "fitness" of the mean.
The following table gives the cumulative frequency distribution of the commuting time (in minutes) from home to work for a sample of 400 persons selected from a city.
1. in a random sample of 24 people the mean number of books they had read in the past year was 11.22 books and the
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