Question Number 3

Suppose in a class there are 170 students. Of those 170 students, 90 are males and 80 are females. Among 90 male students, 55 like playing the game of football and 35 do not like it. Among 80 female students, 10 like playing the game of football and 70 do not like it.

1. Represent all this information in the form of a cross tabulation or probability contingency table.
2. Show probability tree diagrams for all the possible random events that can occur (with their probabilities) if a student is picked randomly in this class.

Question Number 4

1. Formulate a dataset using the frequency distribution table of the random experiment for the number of boys in a committee of 3 people selected at random from 4 boys and 3 girls. Random variable or dataset indicates the number of boys.
2. What is the expected or average number of boys that can be selected in part a)? Verify this answer using a frequency histogram.

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