Question

What is the sample space for each one of the following statements? (7.5 points each)

Answer 1

We can define the sample space for a given experiment as the set of all the possible outcomes for the experiment.

For example, tossing a coin has a space sample of 2 elements, tails and heads.

The spaces are:

a) {WW, BB, WBB, BWW, WBWW, BWBB,... }

b) { 1-2-3-4, 1-2-3-5,..., 7-6-5-4,...}

a) We can write one element in this sample space as:

WBB

This would mean that first we draw a white ball, then a black ball, and then the second black ball, thus we stop drawing.

So all the elements in this set will have the form

{WW, BB, WBB, BWW, WBWW, BWBB,... }

As we have infinite balls in the bag, we have infinite elements in this set.

b) Now we have only 10 balls numbered from 1 to 10, and we draw 4.

So each element in the sample space can be written as:

1-2-3-4

This element means:

"first we draw ball number 1, then ball number 2, then ball number 3, then ball number 4"

Then the sample space will have the form:

{ 1-2-3-4, 1-2-3-5,..., 7-6-5-4,...}

If you want to learn more, you can read:

brainly.com/question/23125812