Chapter 5 Questions (STAT-200)

Chapter 5 Questions (STAT-200) - Tommy Y Choi STAT-200 OL1...

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Tommy Y. Choi STAT-200 OL1 Chapter 5-2 Questions:  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 0.52 8 1 0.36 0 2 0.09 8 3 0.01 3 4 0.00 1 5 0+ a) Answers : 1) The given table is a probability distribution since 0  P(x)  for each x and  P(x) = 1 2) μ = 0.599 ~ 0.6 3) σ ² = 0.885 ~ 0.9 x P(x) x * P(x) X² * P(x) 0 0.52 8 0 * 0.528 = 0.00 0² * 0.528 = 0 1 0.36 0 1 * 0.360 = 0.360 1² * 0.360 = 0.360 2 0.09 8 2 * 0.098 = 0.196 2² * 0.098 = 0.392 3 0.01 3 3 * 0.013 = 0.039 3² * 0.013 = 0.117
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Tommy Y. Choi STAT-200 OL1 4 0.00 1 4 * 0.001 = 0.004 4² * 0.001 = 0.016 5 0+ 5 * 0 = 0+ 5² * 0+ = 0 Tota l 0.599 0.885 14) Pea Hybridization Experiment:  Refer to the accompanying table, which describes results from eight offspring peas. The random variable x represents the number of offspring peas with green pods. Range Rule of Thumb for Unusual Events  Use the range rule of thumb to identify a range of values containing the usual number of peas with green pods. Based on the results, is it unusual to get only one pea with a green pod? Explain. Probabilities of Numbers of Peas with Green Pods Among 8  Offspring Peas x (Number of Peas with  Green Pods) P(x) 0 0+ 1 0+ 2 0.004 3 0.023 4 0.087 5 0.208 6 0.311 7 0.267 8 0.100 a) Unusual Results Rule of Thumb
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Chapter 5 Questions (STAT-200) - Tommy Y Choi STAT-200 OL1...

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