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Solve the following problem in MATLAB: ( a ) Ask MATLAB to generate a vector, x , of length 1 0 0 0 0 with
Solve the following problem in MATLAB:a Ask MATLAB to generate a vector, x of length with all entries being independentlyand identically distributed as uniform from to b Compute the vector w xx where denotes the elementwise multiplication, alternativelyknown as the Hadmard product, of two vectors. Note that the MATLAB operator does not calculate the elementwise product.c Compute the vector v x where is a vector of all ones the same size as x and denotes elementwise division, alternatively known as Hadamard division. Note that theMATLAB operator does not perform elementwise division.d Plot histograms of the distribution of the values of and vectors. Ensure that you haveat least bins of values. You will find the matlab histogram function useful. Adjustthe histograms so that at least bins of with significant counts of samples are shown.e Analytically compute the probability density functions pdfs for the random variablesW X and V X where X is a random variable with a uniform density rangingfrom to :p X x x x x Plot these pdfs and ensure that they are consistent with the histograms created in partd You may find it useful to compute the cumulative distribution functions cdfs anduse the bin edges from the histograms.
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