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

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

2. How might it be extended to handle a

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

2. 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). (*Hint*: Consider ways to divide the possible values into two sets, to mimic a Boolean variable.)

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

2. 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).
(*Hint*: Consider ways to divide the possible values
into two sets, to mimic a Boolean variable.)