Most of the men of Delta Omicron Gamma play team sports, mostly on intramural teams but several on intercollegiate teams. Of all the members, 16 play basketball, 22 play baseball, and 26 play football. Only 4 play all three sports; 10 play baseball and basketball, 15 play baseball and football, and 12 play basketball and football. The other 8 members are involved in track, tennis, or swimming. How many men are in the DOG house? How many men play baseball only? How many men play football and baseball but do not play basketball?

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A: Solution of the question is given below.

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A: These are combination problems.

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A: There are total 300 options for a student.

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Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.