B. Directions: Find the random variable and its probabilities for each given item. Construct a probability distribution and probability histogram. 1. Let Z defined by the product of two numbers taken separately from two boxes containing 1, 2,3 and 4. 2. A company has five applicants for two positions: two women and three men. Suppose that the five applicants are equally qualified and that no preference is given for choosing either gender. Let X equal the number of women chosen to fill the two positions. 3. In a file of 10 records with 2 errors, 5 are examined. Let the random variable Y be the number of errors. 4. Three paper bills are drawn in succession without replacement from a piggy bank containing 10 20- peso bill, 15 50-peso bill, and 5 100-peso bill. Let random variable X be the number of 20-peso bill drawn.

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Bar Graphs

A bar graph is a chart or graphical representation of data. A bar chart, also known as a bar graph, is a graph or chart that displays categorical data using rectangular bars with heights or lengths equal to the values they represent. Typically, bar graphs show categorical and numerical variables grouped in class intervals. A bar graph is useful for comparing and analyzing a set of data.