A
professional
Basketball
player
scores
a
three-­‐point
shot
with
probability
0.8,
and
hence
misses
with
probability
0.2.
He
shoots
four
times.
(a)
What
is
the
probability
that
the
player
hits
exactly
two
three-­‐point
shots?
(b)
What
is
the
probability
that
he
hits
at
least
two
three-­‐point
shots?
3.

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?