Please answer these three questions. Directions: Construct the probability mass functions of the random variables defined by the following exercises. 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.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Please answer these three questions. Directions: Construct the
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