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Suppose we represent vectors v = (v i ) as sequences of numbers, and matrices m = (mij) as sequences of vectors (the rows of the matrix). For example, the matrix
is represented as the sequence ((1 2 3 4) (4 5 6 6) (6 7 8 9)). With this representation, we can use sequence operations to concisely express the basic matrix and vector operations. These operations (which are described in any book on matrix algebra) are the following:
We can define the dot product as 17 define (dot-product v w) (accumulate + 0 (map * v w))Fill in the missing expressions in the following procedures for computing the other matrix operations. (The procedure accumulate-n is defined in exercise 2.36.)
The procedure accumulate-n is similar to accumulate except that it takes as its third argument a sequence of sequences, which are all assumed to have the same number of elements. It applies the designated accumulation procedure to combine all the first elements of the sequences, all the second elements of the sequences, and so on, and returns a sequence of the results. For instance, if s is a sequence containing four sequences, ((1 2 3) (4 5 6) (7 8 9) (10 11 12)), then the value of (accumulate-n + 0 s) should be the sequence (22 26 30). Fill in the missing expressions in the following definition of accumulate-n:
Find that a random sample of 14 similar cars has a mean of price of $19,850 with a standard deviation of $1084. Is there enough evidence to reject the salesman's claim at "alpha" = 0.05?
in a research report on the effect of moisture on a certain kind of composite material it is reported that in 80 of
compare the mean for the heights of males which is 69.78 and the mean for the heights of females which is 67.08.
the mean and standard deviation on a calculus mid term are 55 and 16 points while they are 65 and 22 on the final. if a
a large database of u.s. worker data reveals that number of years of work experience is correlated with higher
jorge finds that his standardized z score on an iq is 2.0. what percentage of people did he score higher than?a. 98b.
Prepare a Histogram for Youngsters Involved in Road Accidents
Suppose a consumer group suspects that the proportion of households that have three cell phones is 30%. A cell phone company has reason to believe that the proportion is 30%. Before they start a big advertising campaign, they conduct a hypothesis ..
Construct a 99% con?dence interval for the difference in the mean weight loss by these two methods. State any assumptions you made and interpret the result you obtained.
a. Calculate a 95% confidence interval for the average cost of accessories on Mini Coopers. b. Determine the margin of error in estimating the average cost of accessories on Mini Coopers.
the shelf life of a particular type of battery is being studied. twenty batteries are tested and the mean shelf life of
(i) Establish that E(X) for the geometric random variable is 1/p and that V ar(X) = q/p2, where q = 1 - p. (ii) Given that for a certain geometric random variable, P (X = 2) = 0.0475 and P (X = 10) = 0.0315, determine P (2 ≤ X ≤ 10).
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