1. Indicate if each of the following is true or false. If false,
provide a counterexample....
1. Indicate if each of the following is true or false. If false,
provide a counterexample.
(a) The mean of a sample is always the same as the median of
it.
(b) The mean of a population is the same as that of a
sample.
(c) If a value appears more than half in a sample, then the mode
is equal to the value.
2. (Union and intersection of sets) Let Ω = {1,2,...,6}. Suppose
each element is equally likely,...
1) A single die is rolled twice. The set of 36 equally likely
outcomes is {(1,...
1) A single die is rolled twice. The set of 36 equally likely
outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (1,
5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1),
(3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4,
3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5),
(5, 6), (6, 1), (6, 2), (6,...
Suppose that you are offered the following "deal." You roll a
six sided die. If you...
Suppose that you are offered the following "deal." You roll a
six sided die. If you roll a 6, you win $12. If you roll a 2, 3, 4
or 5, you win $1. Otherwise, you pay $10.
a. Complete the PDF Table. List the X values, where X is the
profit, from smallest to largest. Round to 4 decimal places where
appropriate.
Probability Distribution Table
X
P(X)
b. Find the expected profit. $ (Round to the nearest cent)
c....
Suppose that you are offered the following "deal." You roll a
six sided die. If you...
Suppose that you are offered the following "deal." You roll a
six sided die. If you roll a 6, you win $9. If you roll a 2, 3, 4
or 5, you win $1. Otherwise, you pay $6
a. Complete the PDF Table. List the X values, where X is the
profit, from smallest to largest. Round to 4 decimal places where
appropriate.
Probability Distribution Table
X
P(X)
b. Find the expected profit. $ (Round to the nearest...
An electron of mass m is confined to a 3-dimensional boxthat has
y dimension twice that...
An electron of mass m is confined to a 3-dimensional boxthat has
y dimension twice that of x or y so that it has size L x 2L x L (Lx
= L, Ly = 2L and Lz = L).
a) Derive an expression for the energy of each of the following
bound states: (nx, ny, nz) = (1,1,1) and (2,1,1). (You do not need
to use the S.E. to solve for the energy expression; use your
formula sheet).Plug in...