Question
In: Statistics and Probability
There are two boxes, the first one contains nine 1 dollar bills and one 5 dollar...
There are two boxes, the first one contains nine 1 dollar bills and one 5 dollar bill, and the second one contains two 1 dollar bills and one 100 dollar bill. When you select one box, two of the bills will be taken out without replacement. Suppose you have chosen a box, and you got two 1 dollar bills. What is the possibility that you have chosen the box that contains the 100 dollar bill?
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orchestra answered 1 year agoRelated Solutions
A hat contains eight one-dollar bills and two thousand-dollar bills. A coin is tossed. If it...
A hat contains eight one-dollar bills and two thousand-dollar
bills. A coin is tossed. If it falls heads, Bill gets to draw, at
random, two bills from the hat. If the coin falls tails, Bill draws
only one bill, unless this first bill is a one-dollar bill; in the
latter case, he gets to draw two additional bills. What is the
average value of the bills Bill draws?
There are 5 boxes. One box is empty; two boxes each contains one marble; and the...
There are 5 boxes. One box is empty; two boxes each contains one
marble; and the remaining two boxes each contains two marbles.
Suppose that the colors of the marbles are not known, but it is
known that each marble can only be either red or green, with equal
probability. Suppose that ONE box is randomly chosen from the 5
boxes, and let R denote the number of the red marble(s) the box
has, and G be the number of...
An urn contains 3 one-dollar bills, 1 five-dollar bill and 1 ten-dollar bill. A player draws...
An urn contains 3 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. Determine:
(A) The probability of winning $11 . (B) The probability of
winning all bills in the urn. (C) The probability of the game
stopping at the second draw.
A box contains forty $1 bills, six $5 bills, three $20 bills, and one $100 bill....
A box contains forty $1 bills, six $5 bills, three $20 bills,
and one $100 bill. A bill is randomly selected, let X be the dollar
value of the bill. [2a] Construct a probability distribution of X.
[2b] Find the expectation of X. [2c] Find the variance and the
standard deviation of X.
There are 2 boxes. The first box contains 2 white and 5 black balls. The second...
There are 2 boxes. The first box contains 2 white and 5 black
balls. The second box contains 4 white and 7 black balls. A random
box is chosen and from it a random ball is drawn. a) What is the
probability that the ball is white? b) If the ball is known to be
white, what is the probability that it came from the 1st box?
Suppose a wallet contains 3 $100 bills and 5 $1 bills. If you randomly choose 4...
Suppose a wallet contains 3 $100 bills and 5 $1 bills. If you
randomly choose 4 different bills, what is the probability of
taking exactly $202?
Suppose a wallet contains 3 $100 bills and 5 $1 bills. If you randomly choose 4...
Suppose a wallet contains 3 $100 bills and 5 $1 bills. If you
randomly choose 4 different bills, what is the probability of
taking exactly $202?
Suppose 2 boxes: - Box #1 contains: + 5 Black balls. + 6 White balls. -...
Suppose 2 boxes:
- Box #1 contains:
+ 5 Black balls.
+ 6 White balls.
- Box #2 contains:
+ 8 Black balls.
+ 4 White balls.
- Two balls are drawn from Box #2 and placed into Box #1.
- A ball is drawn from Box #1.
1- What is the probability that the ball drawn from Box #1 is
White?
2- Suppose that the ball drawn from Box #1 is White, then what is
the probability that at...
Suppose 2 boxes: - Box #1 contains: + 5 Black balls. + 6 White balls. -...
Suppose 2 boxes:
- Box #1 contains:
+ 5 Black balls.
+ 6 White balls.
- Box #2 contains:
+ 8 Black balls.
+ 4 White balls.
- Two balls are drawn from Box #2 and placed into Box #1.
- A ball is drawn from Box #1.
1- What is the probability that the ball drawn from Box #1 is
White?
2- Suppose that the ball drawn from Box #1 is White, then what is
the probability that at...
An urn contains 5 balls, two of which are marked $1, two $4, and one $10....
An urn contains 5 balls, two of which are marked $1, two $4, and
one $10. A player is to draw two balls randomly and without
replacement from the urn. Let X be the sum of the amounts marked on
the two balls. Find the expected value of X.
Side note:
I know Rx={2,5,8,11,14}
and P(X=2) = 1/10 ... etc
I just need a proper explanation for finding the values of
P(X=2), P(X=5), etc. Thanks!
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