1. Let T be a random variable giving the number of tails in two tosses of a coin.  a. What is the sample space of the experiment?

b. How many elements are there in the sample space?

c. Construct a table showing all the elements of the sample space and assign the value of the random variable T to each sample point.

 

2. A shipment of five computers contains two that are slightly defective. A retailer receives three of these computers at random. Using the letters D and N for defective and non-defective computers, respectively. Answer the questions below, where the random variable X represents the number of computers purchased by the retailer which are slightly defective. 

a. What is the sample space of the experiment?

b. How many elements are there in the sample space?

c. Construct a table showing all the elements of the sample space and assign the value of the random variable X to each sample point.

 

3. Two balls are drawn in succession from an urn containing 5 red balls and 6 blue balls. Let Z be the random variable representing the number of blue balls. 

a. What is the sample space of the experiment?

b. How many elements are there in the sample space?

c. Construct a table showing all the elements of the sample space and assign the value of the random variable Z to each sample point.