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2-1.5 - Stat 133 Recitation 6.1-6.2 Stat133Recitation...

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Stat 133 Recitation 6.1-6.2 Stat 133 Recitation Section 2..5 Relations in Categorical Data 1-4. A statistics professor classifies his students according to their grade point average  (GPA) and their gender. The accompanying table gives the proportion of students  falling into the various categories. One student is selected at random.        GPA Gender Under 2.0 2.0 – 3.0 Over 3.0 Male 5 25 10 Female 10 30 20 1. If the student selected is female, what is the probability that her GPA is between 2.0 and  3.0? 2. If the GPA of the student selected is over 3.0, what is the probability that the student is  male? 3. What is the probability that the student selected is female or has a GPA under 2.0 or  both? 4. Is GPA related gender? Explain using conditional distributions. 5-7. An insurance company has collected the following data on the gender and marital  status of 300 customers.               Marital Status Gender Single Married Divorced
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Stat 133 Recitation 6.1-6.2 Male 25 125 30 Female 50 50 20 5. Summarize the gender of the customers using a marginal distribution. Interpret the 
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