Write a Matlab script to do the following. (a) Generate consecutive random numbe

Question

Write a Matlab script to do the following. (a) Generate consecutive random numbers on the interval [0, 1] until the sum of their squares exceeds 1000 and report the number of random numbers needed to achieve this. (b) Repeat part (a) 10000 times and record the average of the numbers thus obtained. Question 4 Write a Matlab script that does the following. For this question you need to use logic operators, but you cannot use "for" loops, except possibly to print your foci (see below). (a) Create, with the Matlab function "meshgrid" a 1000 x 1000 square grid in the plane, centered at the origin, with sidelength 20. (b) In Figure 1, plot all the grid points for which the sum of the distances to four given points (foci) does not exceed 30. Plot these points in blue. The four given points are

Explanation / Answer

If you post more than 1 question, as per chegg guidelines I have to solve only first question.

Ques 3.

-------------------------fxn.m------------------------

function [n] = fxn()

    % store the sum of squares

    sum_of_squares = 0;

  

    n = 0;

   

    % infinite loop

    while true

       

        % get the current term

        % generate random number in range [ 0 , 1 ]

        temp = rand();

       

        % add the aquare of current term to sum_of_squares

        sum_of_squares = sum_of_squares + ( temp ^ 2 );

       

        % if the sum exceeds 1000

        if sum_of_squares > 1000

       

            break;

           

        end

       

        n = n + 1;

       

    end

   

end

---------------------------main.m-----------------------

n = fxn();

fprintf('No of terms : %d ', n);

Sample Output

No of terms : 3055

(b)

-------------------------fxn.m------------------------

function [n] = fxn()

    % store the sum of squares

    sum_of_squares = 0;

  

    n = 0;

   

    % infinite loop

    while true

       

        % get the current term

        % generate random number in range [ 0 , 1 ]

        temp = rand();

       

        % add the aquare of current term to sum_of_squares

        sum_of_squares = sum_of_squares + ( temp ^ 2 );

       

        % if the sum exceeds 1000

        if sum_of_squares > 1000

       

            break;

           

        end

       

        n = n + 1;

       

    end

   

end

---------------------------main.m-----------------------------

count = 0;

for i = 1 : 10000

   

    % get the number of terms

    n = fxn();

   

    count = count + n;

   

end

% calculate average

avg = count / 10000;

fprintf('Average no of terms : %d ', avg);

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