Determine whether the probabilities are computed using the classical method, empirical method, or subjective method. Complete parts (a) through (d). A. Subjective method B. Empirical method C. Classical method D. It is impossible to determine which method is used. (b) On the basis of a survey of 1000 families with eight children, the probability of a family having eight girls is 0.0064 . Choose the correct answer. A. Classical method B. Empirical method C. Subjective method D. It is impossible to determine which method is used. (c) According to a sports analyst, the probability that a football team will win the next game is 0.47 . Choose the correct answer. A. Classical method B. Subjective method C. Empirical method D. It is impossible to determine which method is used. (d) On the basis of clinical trials, the probability of efficacy of a new drug is 0.81 . Choose the correct answer. A. Subjective method B. Classical method C. Empirical method D. It is impossible to determine which method is used.
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Based on a detailed understanding of probability methods, the answers for parts (a) through (d) are as follows: (a) The probability is not stated, so it’s impossible to categorize the method used without more context. The best choice here is D. (b) This is based on a survey of actual data collected from families, which falls under the empirical method. The correct answer is B. (c) The analyst’s estimate relies on personal judgment and analysis rather than a mathematical foundation, pointing to the subjective method. The correct answer is B. (d) The given probability is based on results obtained from clinical trials, thus relying on empirical evidence. The correct answer is C.
