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25. Given a probability distribution, use vector operations to expressthe expected value, expected utility, variance, and the standard deviation26. Given a vector of observed numerical values, use vector operations to express its mean, variance, standard deviation, median, count, sum27. Given a vector of numerical values, use vector operations to express the sum of the squares of each element and the number of positive values28. Given two vectors of observed numerical values, use vector operations to express their t value, covariance, correlation, and their Euclid distance29. How do you create a matrix along with column and row names?30. By default, a matrix will fill data row by row, or column by column? By default, a matrix is flattened into a vector row by row, or column by column?31. Create a vector of 15 integers with two missing values and then count how many of them are even numbers32. How do you add and remove columns and rows to/from a matrix? How do you get and set a submatrix, a cell, a row, or a column using indices and names?33. How do multiply a vector of size n with each column of a matrix of n m? How do multiply a vector of size m with each row of a matrix of n m?34. How do you find the length of each row and each column of a matrix? How do you find the standard deviation of each row and each column of a numerical matrix?Computer ScienceEngineering & TechnologyPython Programming BUSINESS A 6500602

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