/// <summary>
/// EP message to 'isBetween'
/// </summary>
/// <param name="X">Incoming message from 'x'. Must be a proper distribution. If uniform, the result will be uniform.</param>
/// <param name="lowerBound">Incoming message from 'lowerBound'. Must be a proper distribution. If uniform, the result will be uniform.</param>
/// <param name="upperBound">Incoming message from 'upperBound'.</param>
/// <returns>The outgoing EP message to the 'isBetween' argument</returns>
/// <remarks><para>
/// The outgoing message is a distribution matching the moments of 'isBetween' as the random arguments are varied.
/// The formula is <c>proj[p(isBetween) sum_(x,lowerBound,upperBound) p(x,lowerBound,upperBound) factor(isBetween,x,lowerBound,upperBound)]/p(isBetween)</c>.
/// </para></remarks>
/// <exception cref="ImproperMessageException"><paramref name="X"/> is not a proper distribution</exception>
/// <exception cref="ImproperMessageException"><paramref name="lowerBound"/> is not a proper distribution</exception>
public static Bernoulli IsBetweenAverageConditional([SkipIfUniform] Gaussian X, [SkipIfUniform] Gaussian lowerBound, Gaussian upperBound)
{
Bernoulli result = new Bernoulli();
result.SetLogProbTrue(LogProbBetween(X, lowerBound, upperBound));
return result;
}