Task Description: Task $1$ Matlab solution please

$\backslash$table$[[70000050540,2696\mathrm{.}846877],[69999985507,2703\mathrm{.}63667],[69999991222,2696\mathrm{.}741492],[70000105338,2670\mathrm{.}788987],[70000099634,2681\mathrm{.}3482],[70000100211,2679\mathrm{.}365094],[70000047482,2696\mathrm{.}127259],[69999914618,2710\mathrm{.}444178],[70000050716,2692\mathrm{.}696977],[70000115275,2697\mathrm{.}425575],[70000034570,2692\mathrm{.}286177],[70000073164,2695\mathrm{.}554712],[70000051399,2684\mathrm{.}232675],[69999978543,2690\mathrm{.}11206],[70000020780,2694\mathrm{.}326502],[69999944331,2715\mathrm{.}66458],[70000062819,2696\mathrm{.}09573],[69999918890,2711\mathrm{.}756973],[69999924419,2698\mathrm{.}860835],[69999942760,2697\mathrm{.}301767],[69999791808,2727\mathrm{.}835039],[70000101709,2695\mathrm{.}281895],[70000022994,2681\mathrm{.}460938],[69999946619,2686\mathrm{.}968502],[70000096895,2702\mathrm{.}753545],[69999878978,2711\mathrm{.}76525],[69999992770,2698\mathrm{.}757914],[69999982927,2706\mathrm{.}347053]]$

$\backslash$table$[[70000051294,2702\mathrm{.}345395],[69999995541,2719\mathrm{.}07438],[70000050540,2706\mathrm{.}954869],[69999985507,2700\mathrm{.}738012],[69999991222,2694\mathrm{.}985826],[70000105338,2691\mathrm{.}856493],[70000099634,2701\mathrm{.}274957],[70000100211,2699\mathrm{.}407221],[70000047482,2705\mathrm{.}623663],[69999914618,2693\mathrm{.}367734],[70000050716,2702\mathrm{.}840263],[70000115275,2720\mathrm{.}480583],[70000034570,2699\mathrm{.}200179],[70000073164,2710\mathrm{.}18748],[70000051399,2694\mathrm{.}512383],[69999978543,2685\mathrm{.}820758],[70000020780,2698\mathrm{.}482472],[69999944331,2704\mathrm{.}530719],[70000062819,2708\mathrm{.}659542],[69999918890,2695\mathrm{.}534952],[69999924419,2683\mathrm{.}744724],[69999942760,2685\mathrm{.}853727],[69999791808,2686\mathrm{.}196573],[70000101709,2715\mathrm{.}623664],[70000022994,2686\mathrm{.}059826],[69999946619,2676\mathrm{.}292204],[70000096895,2722\mathrm{.}132493],[69999878978,2687\mathrm{.}560753],[69999992770,2697\mathrm{.}311988],[69999982927,2702\mathrm{.}932476],[70000022571,2700\mathrm{.}944687],[70000022122,2704\mathrm{.}818931],[69999938844,2699\mathrm{.}616964],[69999997875,2679\mathrm{.}994718],[69999988341,2699\mathrm{.}014632]]$

Task $1.$ Find the PDF of the probability density function that best fits the random variable from the measured data.

A$.$ The three measurement data consist of two random variables, elastic modulus $x,$ of aluminum and density $x2.$ Then, for each of the three measurement data, find the correlation matrix or covariance matrix of the random

variables. After loading the measurement data from the given $.$csv file, write a MATLAB code that calculates the correlation matrix or covariance matrix.

$$ Refer to the MATLAB code from the previous lecture

$$ MATLAB file name to be submitted: Task$1\_$A$.$m or Task$1\_$A$.$mlx

B$.$ Find the best$-$fitting univariate PDF for each of the two random variables that make up the three measurement data, and compute the values of the parameters $($mean$,$ variance, etc.$)$ for each of them. No need to write MATLAB code.

$$ Using MATLAB's distribution fitter

$$ Only $5$ distributions are considered in Candidate PDF: Normal, Gamma, Weibull, Rayleigh, and Exponential distributions.

Task Description: Task $1$

Task $1.$ Find the PDF of the probability density function that best fits the random variable from the measured data.

C$.($For the three measurement data$)$ Draw multivariate PDF surface plots based on the information $($e$.$g$.,$ parameters and distribution function types$)$ of each univariate PDF found in B above $($there are three measurement data in total, but there should be three graphs in total$).$ Write MATLAB code for this.

Task Description: Task $2$

Task $2.$ Perform sampling and compute statistical moments from the previously found suitable PDF$.$

For a total of $3$ measured data,

A$.$ Write a MATLAB code that extracts samples from the appropriate PDF found in Task $1,$ i$.$e$.,$ performs sampling. In the MATLAB code, define variables for "the number of samples to extract" and "a flag for plotting the sample space" so that the

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