A government bureau in a certain country publishes data on housing units in a survey. The accompanying table provides a frequency distribution for the number of rooms in housing units. The frequencies are in thousands. Consider a housing unit selected at random. Compute the following conditional probabilitiesdirectly; thatis, do not use the conditional probability rule. Complete parts(a) through(d) below.

Rooms No. of units

1 574

2 1408

3 10914

4 23384

5 27995

6 24637

7 14612

8+ 17245

a. Determine the probability that the unit has exactly five rooms.

b . Determine the conditional probability that the unit has exactly five rooms, given that it has at least

three rooms.

c. Determine the conditional probability that the unit has at most five rooms, given that it has at least

three rooms.

d.Interpret your answers in parts (a)-(c) in terms of percentages.