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 D. It is impossical method (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.

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**(a)**  
We are given that an eight‐digit license plate has eight even digits with probability  
$$
(0.5)^8 = 0.00390625.
$$  
Here the probability is computed using the idea that each digit is equally likely to be even or odd, and the events are independent. This approach—finding the ratio of favorable outcomes to the total number of outcomes—is the hallmark of the classical method.

**(b)**  
In this part the probability $$0.0064$$ is obtained from a survey of 1000 families with eight children. This probability is based on observed relative frequencies from data. Using data from experiments or observations to estimate the likelihood of an event is known as the empirical method.

Thus:

(a) Classical method (computed via theoretical counting)  
(b) Empirical method (computed via observed data)
**(a)** The probability is calculated using the classical method. **(b)** The probability is determined using the empirical method.

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