Connor is a mortgage broker that offer to provide Sha some advice. Connor can provide a report that indicates whether the variable rate will go Up or go Down. In the past, when the variable rate becomes Very high, 85% of the time Connor has predicted the rate would goUp;when the variable rate becomes Moderatehigh,55% of the time Connor has predicted the rate would goUp;whenthe variable rate staysLow,75% of the time Connor has predicted the rate would goDown.

Sha started a probability tree. Some of the numbers have been blocked out. Help Sha fill in the missing parts. Report all numbers in Four decimals.

Variable rate change Connor's forecast Sample Space Prob C Very Up Very, Up F 0.45 C Down Very, Down 0.0675 Moderate Up Moderate, Up G A D Down Moderate, Down H Low Up Low, Up 0.025 B E Down Low, Down 0.075 TotalQUESTION 11 Fill the following joint probability table. Report all answers to three decimal places