Question

Consider the random event of tossing four coins once, then follow these steps:

1. List all the possible outcomes using the tree diagram.

2. Determine the sample space.

3. Determine the possible values of the random variables.

4. Assign probability values P(X) to each of the random variable.

5. Construct a probability histogram to describe the P(X).

Answer 1

1. sample space will be;

{HHHH,HHHT,HHTH,HHTT,HTHH,HTHT,HTTH,HTTT,THHH,THHT,THTH,THTT,TTHH,TTHT,TTTH,TTTT}

3 The possible outcomes are head and tail. Assuming that it is an unbiased coin, the random variable for head and tail will be equal.. Let X denote the variable for the number of heads obtained.

The possible values for the random variable are, {0,1,2,3,4}.

4

5.