Question

When you generate a random number using your calculator, the random number you get is uniformly distributed over the interval (0, 1). Suppose 50 people in Stat 322 class generate one random number each (independently).

Answer 1

Answer:

The can be done by using the rand function in Mathlab.

x = rand(1,50)

Explanation:

This can be achieved by using the rand function in MathLab to generate the random numbers. We will ask the rand function to generate random numbers in 1-by-50 matrix. The 50 column of the matrix will represent the 50 people. While the row will be the random number generated for each person.

>> x=rand(1,50)

x =

 Columns 1 through 12

   0.1626    0.1190    0.4984    0.9597    0.3404    0.5853    0.2238    0.7513    0.2551    0.5060    0.6991    0.8909

 Columns 13 through 24

   0.9593    0.5472    0.1386    0.1493    0.2575    0.8407    0.2543    0.8143    0.2435    0.9293    0.3500    0.1966

 Columns 25 through 36

   0.2511    0.6160    0.4733    0.3517    0.8308    0.5853    0.5497    0.9172    0.2858    0.7572    0.7537    0.3804

 Columns 37 through 48

   0.5678    0.0759    0.0540    0.5308    0.7792    0.9340    0.1299    0.5688    0.4694    0.0119    0.3371    0.1622

 Columns 49 through 50

   0.7943    0.3112

Answer 2

Explanation:

The Matlab function rand() is used to generate uniformly distributed random numbers of a given size over the interval (0, 1)

Syntax:

num = rand(N, 1)

Where num is a variable to store the random numbers

N is the number of random numbers you want to generate.

Example:

For the given problem we have to generate one random number for each person in the class of 50 people.

num = rand(50,1)

It returns 50 random numbers in the range 0 to 1 which are given in the output section.

You can also modify the range of interval by adding the following code

num = x + (y - x).*rand(1,50)

Where x is the lower limit of the range and y is the upper limit of the range.

for example

num = 50 + (100 - 50).*rand(1,50)

it will generate random numbers in the range of 50 to 100. Here .* is used for the bit-wise multiplication

Note:

Do not write rand(50) it will return a 50 by 50 matrix of random numbers.

Output:

num =

  0.582139

  0.540686

  0.350985

  0.115957

  0.652881

  0.195352

  0.425562

  0.367363

  0.169750

  0.800792

  0.267118

  0.586340

  0.698618

  0.975052

  0.235557

  0.757331

  0.117483

  0.295195

  0.624606

  0.857645

  0.196915

  0.645716

  0.041070

  0.718010

  0.469060

  0.116754

  0.256292

  0.472404

  0.221682

  0.888215

  0.379500

  0.464798

  0.604826

  0.521442

  0.351424

  0.730017

  0.459121

  0.241424

  0.140979

  0.729892

  0.600992

  0.961623

  0.781636

  0.671102

  0.628573

  0.660506

  0.605492

  0.033747

  0.659619

  0.274432