.In the past 30 days, Roger’s Rural Roundup has sold 8, 9, 10, or 11 lottery tickets. It never sold fewer than 8 or more than 11.  The owner looked at the past 30 days to determine how many were sold each day.   Eight lottery tickets were sold on 10 days, nine lottery tickets were sold on 12 days, ten tickets sold on 6 days, and eleven tickets were sold on 2 days.  Develop a probability distribution table from the data (using a relative frequency approach What is the expected value of the distribution?  What is the variance of the distribution?

A First Course in Probability (10th Edition)
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5.In the past 30 days, Roger’s Rural Roundup has sold 8, 9, 10, or 11 lottery tickets. It never sold fewer than 8 or more than 11.  The owner looked at the past 30 days to determine how many were sold each day.   Eight lottery tickets were sold on 10 days, nine lottery tickets were sold on 12 days, ten tickets sold on 6 days, and eleven tickets were sold on 2 days. 

    1. Develop a probability distribution table from the data (using a relative frequency approach
    2. What is the expected value of the distribution? 
    3. What is the variance of the distribution? 
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