Question 27, 5.1.45 HW Score: \( 54 \%, 27 \) of 50 points \( 0(5.1,5.2) \) Part 3 of 4 Points: 0 of 1 Determine whether the probabilities are computed using the classical method, empirical method, or subjective method. Complete parts (a) through (d). (a) The probability of having eight even digits on a eight-digit license plate number is 0.00390625 . Choose the correct answer. 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.
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Beyond the Answer
To crack the puzzle of probability methods, let’s dive into the playful world of statistics! The probability of having eight even digits on an eight-digit license plate is calculated using the classical method because it’s based on predetermined outcomes (even vs. odd digits) that can be mathematically analyzed. There are limited choices (5 even digits out of 10 numbers), making this a classic case of counting outcomes! In the case of the survey of 1000 families with eight children, the probability of having eight girls is derived from actual data collected (empirical results), so it reflects real-world experiences! Here, we aren't just guessing; we’re referencing actual occurrences that were observed, which makes it empirical! This probability adventure exposes the different methods in a fun way – so keep your decision-making hats on!
