An urn contains 2 one-dollar bills, 1 five-dollar bill, and 1 ten-dollar bill. A player draws bills one at a time without replacement from the urn until a ten-dollar bill is drawn. Then the game stops. All bills are kept by the player. (A) What is the probability of winning $16 ? (B) What is the probability of winning all bills in the urn? (C) What is the probability of the game stopping at the second draw?
An urn contains 2 one-dollar bills, 1 five-dollar bill, and 1 ten-dollar bill. A player draws bills one at a time without replacement from the urn until a ten-dollar bill is drawn. Then the game stops. All bills are kept by the player. (A) What is the probability of winning $16 ? (B) What is the probability of winning all bills in the urn? (C) What is the probability of the game stopping at the second draw?
An urn contains
2
one-dollar bills,
1
five-dollar bill, and
1
ten-dollar bill. A player draws bills one at a time without replacement from the urn until a ten-dollar bill is drawn. Then the game stops. All bills are kept by the player.
(A) What is the probability of winning
$16
?
(B) What is the probability of winning all bills in the urn?
(C) What is the probability of the game stopping at the second draw?
1.4. Run Program 1 to N
=
216 instead of 212. What happens to the plot of
error vs. N? Why? Use the MATLAB commands tic and toc to generate a plot of
approximately how the computation time depends on N. Is the dependence linear,
quadratic, or cubic?
Show that the function f(x) = sin(x)/x has a removable singularity. What are the left and right handed limits?
18.9. Let denote the boundary of the rectangle whose vertices are
-2-2i, 2-21, 2+i and -2+i in the positive direction. Evaluate each of
the following integrals:
(a).
之一
dz, (b).
dz, (b).
COS 2
coz dz,
dz
(z+1)
(d).
z 2 +2
dz, (e).
(c). (2z+1)zdz,
z+
1
(f). £,
· [e² sin = + (2² + 3)²] dz.
(2+3)2
Chapter 8 Solutions
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