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Statistics
Chapter 5-2 Questions:
Problem 10 & 14

10) Identifying Probability Distributions: Determine whether or not a probability distribution is given.   If a probability distribution is given, find its mean and standard deviation.   If a probability distribution is not given, identify the requirements that are not satisfied.

Eye Color Groups of five babies are randomly selected.   In each group, the random variable x is the number of babies with green eyes (Based on data from a study by Dr. Sorita Soni at Indiana University). (The symbol 0+ denotes a positive probability value that is very small.)

|x         |P(x)       |
|0         |0.528       |
|1         |0.360       |
|2         |0.098       |
|3         |0.013       |
|4         |0.001       |
|5         |0+         |

    a) Answers:
        1) The given table is a probability distribution since 0 ≤ P(x) ≤ 1 for each x and ∑P(x) = 1
        2) μ = 0.599 ~ 0.6
        3) σ² = 0.885 ~ 0.9
|x           |P(x)       |x * P(x)                   |X² * P(x)                                                       |
|0           |0.528       |0 * 0.528 = 0.00           |0² * 0.528 = 0                                                   |
|1           |0.360       |1 * 0.360 = 0.360           |1² * 0.360 = 0.360                                               |
|2           |0.098       |2 * 0.098 = 0.196           |2² * 0.098 = 0.392                                               |
|3           |0.013       |3 * 0.013 = 0.039           |3² * 0.013 = 0.117                                               |
|4           |0.001       |4 * 0.001 = 0.004           |4² * 0.001 = 0.016                                               |
|5           |0+         |5 * 0 = 0+                 |5² * 0+ = 0                                                     |
|Total       |           |0.599                       |0.885                                                           |



14) Pea Hybridization Experiment: Refer to the accompanying...

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