Acoin is tossed at the same time a die is rolled. are the
events independent or dependent? why?
a. the events are dependent. there is no way the outcome
of the coin toss can affect the rolling of the die and vice
versa.
b. the events are dependent. the number rolled on the die
can be affected by what is flipped on the coin.
c. the events are independent. there is no way the
outcome of the coin toss can affect the rolling of the die and
vice versa,
d. the events are independent. the number rolled on the die
can be affected by what is flipped on the coin.

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?