In an experiment using three tosses of the same coin, state and apply the general equation that provides the total number of possible outcomes for the experiment and list the outcome string (3...



  1. In an experiment using three tosses of the same coin, state and apply the general equation that provides the total number of possible outcomes for the experiment and list the outcome string (3 points). Then, for each of the following three scenarios, list the possible outcome string and calculate the probability of the scenario as a decimal number (to three places) showing all working (9 points).


    1. The probability of getting three heads when flipping a coin 3 times.

    2. The probability of at least getting one head and one tail when flipping a coin 3 times.

    3. The probability of getting a head in the first flip, a tail in the second, and a head again in the third flip of a coin.


  2. Below is an incomplete contingency table displaying two levels for each the gender and the political party association (13 points).




    1. Complete the table with all marginal totals and cell counts.

    2. Calculate the following probabilities.


      1. For a male to be a Republican.

      2. For a voter to be female.

      3. For a voter to be either a democrat or a female.

      4. For a person to not be a female but voting democratic.






































Political party



Total



Gender


Republican


Democrat



Male

87

73

?

Female

61

?

?


Total


?

?

300
Sep 14, 2021
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