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Statistical Probabilities and Distributions

Homework for Prob./Dist. Lesson 15

  1. Set Y1 on your TI-83+ graphing calculator equal to X2pdf(X,5) (2nd DISTR 6). Then adjust your viewing window to 0< x <10 with Xscl=1 and 0< y <0.3 with Yscl=0.02 and sketch the results.

     

     

  2. Repeat problem 1 with Y1 on your TI-83+ graphing calculator set to X2pdf(X,2) (2nd DISTR 6).

     

     

  3. Repeat problem 1 with Y1 on your TI-83+ graphing calculator set to X2pdf(X,20) (2nd DISTR 6), but extend the domain (x) to go up to 40.

     

     

  4. Since 1995, blue M&M® candies replaced tan with 30% brown, 20% yellow, 20% red, 10% orange, 10% green, and 10% blue candies to be expected, on average. "While we mix the colors as thoroughly as possible, the above ratios may vary somewhat, especially in the smaller bags. This is because we combine the various colors in large quantities for the last production stage (printing). The bags are then filled on high-speed packaging machines by weight, not by count. Each student will need to purchase one 1.69 oz bag of plain M&M's. It is best if the bags are purchased at different stores and not obtained from only a few sources of supply. Complete the table below.

    Color:BrownYellowRedOrangeGreenBlue
    Observed        
    Expected0.3n=___0.2n=___0.2n=___0.1n=___0.1n=___0.1n=___
    (O-E)2/E      

    Now add up the bottom row and call it 2. Compare your value with others. Did any particular color contribute significantly to this value?

     

     

  5. Bonus: collect the information from everyone at your table and use this larger sample to complete the table below.

    Color:BrownYellowRedOrangeGreenBlue
    Observed        
    Expected0.3n=___0.2n=___0.2n=___0.1n=___0.1n=___0.1n=___
    (O-E)2/E      

    Now add up the bottom row and call it 2. Compare your value with other tables. Did any particular color contribute significantly to this value?

     

     

  6. Bonus: Repeat the process above but using all freshmen and sophomore data.

     

     

  7. Bonus: After completing the count feel free to dispose of the M&M's® by any method you deem appropriate.

     

     

  8. Set Y1 on your TI-83+ graphing calculator to Fpdf(X,5,5) (2nd DISTR 8). Then adjust your viewing window to 0< x <5 with Xscl=1 and 0< y <0.7 with Yscl=0.1 and sketch the results.

     

     

 

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