A.

Classify the following as discrete or continuous.

1. Amount of antibiotics in the vial.

2. Number of pencils in the box.

3. number of soldiers in the troop. 4. lifetime of lightbulbs in minutes.

5. Number of rotten tomatoes in the basket.

B. Determine the values of the random variable in each of the following situations.

6. Three coins are tossed. Let T be the possible outcomes. Determine the values of the random variabl.

7. A meeting of consuls was attended by4 Americans and 2 Germans. If three consuls were select at random one after the other, determine the values of the random variable G representing the number of Germans.

8. A coin is flipped four times. Let T be the number of tails that come out. Determine the values of the

random variable T.

C. Construct the probability distribution of a discrete random variable.

9. A basket contains 10 ripe and 4 unripe bananas. If three bananas are taken from the basket one after

the other, determine the possible values of the random variable R representing the number of ripe bananas then construct its probability distribution and probability histogram.

10. Construct the probability histogram of a discrete random variable. 5pts A raffle with 50 entries is drawn. Of the 50 entries, 10 are assigned to monica, 14 is assigned to Rachel, and 26 are assigned to Phoebe. If numerical value is assigned to each person so that 0 is Monica, 1 is

Rachel, and 2 is Phoebe, create a probability distribution to determine the probabilities assigned to 0,1,2,