And IQ. (2)
QUESTION THREE
(30 MARKS)
3.1 Apart from being in the education sector, Richfield also has a fleet of cars available for rent.
Statistics shows that the Mercedes AMG G63 is the most rented car among their fleet and one in
four customers request this make.
If 5 of today's rentals are selected, what is the probability that 2 clients would have rented an
AMG G63?
(15)
3.2 Bicycles for hire at the Durban Beach front are deemed beyond repair when one or both its
wheels are damaged. According to current statistics, there is an 8% chance that the front wheel
gets damaged and a 12% chance the back wheel gets damaged.
What is the probability that a hired bike will be deemed beyond repair, provided that the wheels
get damaged independently of each other?
(15)

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?