Reference no: EM132851780

Give the probability mass functions of the random variables of the ff.

1. A green die and a red die are rolled. The random variable X is the number of rolls required until a sum of seven spots is observed for the first time.

2. A box contains one P20 bill, one P50 bill, on P100 bill, one P200 bill, one P500 bill, and one P1,000 bill. Two bills are drawn in succession and without replacement from the box. The random variable T is the total monetary value of the two bills.

3. Four students are applying for a summer job in a fast-food restaurant. The result of the application is that a student may be hired or rejected. Assume that a student is equally likely to be hired or rejected for the job. The random variable X is the number of students among the four who hired.