Need help with my Matlab assignment Write a code that will use the random-number

Question

Need help with my Matlab assignment

Write a code that will use the random-number generator rand to determine the following: I. The number of random numbers it takes to add up to 20 . II. The number of random numbers it takes before a number between 0.8 and 0.85 occurs. III. The number of random numbers it takes before the mean of those numbers is within 0.01 of 0.5 (the mean of this random-number generator). Compute the cumulative product of the elements in a vector. The cumulative product of the j^th element of the vector x, Xj, is defined by: P_j = x_1x_2x_3 .... x_j for j = 1:length of the vector x. Create 2 different versions of this function: I. One that uses two for-loops to explicitly carry out the calculations, element by element. An "inner" loop should accumulate the product and an "outer" loop should move through the elements of the vector p. II. One that uses the built-in function prod to replace the inner loop. In each case, you can check your results with the built-in function, compared.

Explanation / Answer

As the rand function is used,the count varies every time we execute the code

i.

sum = 0; % initialize sum to 0

count = 0; % counter to get the number of times

while sum <20 % loop until 20 is exceeded

count = count + 1; % increment till the sum is reached

x = rand(1,1); %randomly generate the number

sum = sum + x; % add the randomly generated number

end

disp(['The number of random numbers taken to add up to 20 is ',int2str(count)])

ii.

count = 0;

while 1 % loop infinite times till we get number < 0.85 and > 0.8

count = count + 1;

x = rand(1,1); % get a number

if (x < 0.85) & (x > 0.8) % check number

break % once the above condition is %met exit the loop by break statement

end

end

disp(['The number of random numbers taken before a number bw 0.8 and 0.85 occurs is ',int2str(count)])

iii.

cnt = 0;

avg = 0; % avegare check variable

while abs(avg - 0.5) > 0.01

cnt = cnt + 1;

avg = ((cnt-1)*avg + rand(1,1))/cnt; % calculate mean %verage value.Get random number add to previous avg and %divding by new count gives the latest avg

end

disp(['The number of random numbers it takes before the mean of those numbers is within 0.01 of 0.5 is ',int2str(cnt)])

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