The probit distribution defined on page 424 describes the probability distribution for a Boolean child, given a

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The probit distribution defined on page 424 describes the probability distribution for a Boolean child, given a single continuous parent. 

a. How might the definition be extended to cover multiple continuous parents? 

b. How might it be extended to handle a multivalued child variable? Consider both cases where the child’s values are ordered (as in selecting a gear while driving, depending on speed, slope, desired acceleration, etc.) and cases where they are unordered (as in selecting bus, train, or car to get to work).

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