Question
In: Math
3. There is one 1$ bill and one 5$ bill in your left pocket and the...
3. There is one 1$ bill and one 5$ bill in your left pocket and the same in your right pocket. You move one bill from the left pocket to the right pocket. After that you take the remaining bill from the left pocket and one of the bills at random from the right pocket. Let ? denote the amount of money that you take from the left pocket and ? denote the amount of money that you take from the right pocket. Answer the following questions.
(a) Calculate the joint PMF of ? and ? and the marginal PMF( Probability mass function)-s
(b) Are ? and ? independent?
(c) Find C??(?, ? ) and C???(?, ? )
(d) Find V??(? + ? )
(e) Let ? be the total amount of money that you take from your pockets. Find the PMF of ?, its mean and variance
(f) Find C??(?, ?) and C???(?, ?)
Solutions
Expert Solution
Note:- We Are Allowed To Solve Only 4 parts At A time...So Pleass Repost the Question With Other Parts...
milcah answered 9 months agoRelated Solutions
There is one 1$ bill and one 5$ bill in your left pocket and three 1$...
There is one 1$ bill and one 5$ bill in your left pocket and
three 1$ bills in your right pocket. You move one bill from the
left pocket to the right pocket. After that you take one the
remaining bill from the left pocket and one of the bills at random
from your right pocket. Let ? denote the amount of money that you
take from the left pocket and ? denote the amount of money that you
take...
There is one 1$ bill and one 5$ bill in your left pocket and three 1$...
There is one 1$ bill and one 5$ bill in your left pocket and
three 1$ bills in your right pocket. You move one bill from the
left pocket to the right pocket. After that you take one the
remaining bill from the left pocket and one of the bills at random
from your right pocket. Let ? denote the amount of money that you
take from the left pocket and ? denote the amount of money that you
take...
a. What are the 3 functions of money? b. The one-dollar-bill in your pocket/purse is a...
a. What are the 3 functions of money? b. The one-dollar-bill in
your pocket/purse is a fiat money. Why? c. List the 2 ways of
measuring the money supply of the United States. In addition, list
the components of each measurement of money supply. d. True or
False : Of the 2 measurements of money supply, M1 is broader. (If
you answer false, you must provide a corrected statement.) e. What
is another term for time deposits? f. Fill in...
A person has ten bills in his pocket: 3 ones, 2 fives, 3 tens, and 2 twenties. If three bills are drawn at random without replacement then how many ways are there that their sum is $23 or more and with at least one "5" bill?
A person has ten bills in his pocket: 3 ones, 2 fives, 3 tens, and 2 twenties. If three bills are drawn at random without replacement then how many ways are there that their sum is $23 or more and with at least one "5" bill?
In a pocket, Peter has 3 fair coins (which have one head and one tail on...
In a pocket, Peter has 3 fair coins (which have one head and one
tail on each side) and 7 unfair coins (which have heads on both
sides). Peter randomly picks a coin from the pocket and flips the
coin twice.
(a) What is the probability that a head comes up on both
flips?
(b) If it’s known that a head comes up on the first two flips,
when Peter flips the coin again, what is the probability that a...
In a pocket, Peter has 3 fair coins (which have one head and one tail on...
In a pocket, Peter has 3 fair coins (which have one head and one
tail on each side) and 7 unfair coins (which have heads on both
sides). Peter randomly picks a coin from the pocket and flips the
coin twice.
(a) What is the probability that a head comes up on both
flips?
(b) If it’s known that a head comes up on the first two flips,
when Peter flips the coin again, what is the probability that a...
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.
Conditional probability You have two coins in your pocket. One is a regular coin and the...
Conditional probability
You have two coins in your pocket. One is a regular coin and the
other is a weighted coin that has a 75% chance of landing heads up.
You can’t tell the coins apart by inspecting them. You take a coin
out of your pocket and toss it. It lands heads up.
a. What is the probability that the coin is the fair coin?
b. How many times would you decide to flip the coin before you
are...
A person has 5 coins in his pocket. Two have both sides being heads, one has...
A person has 5 coins in his pocket. Two have both sides being
heads, one has both sides being tails, and two are normal. The
coins cannot be distinguished unless one looks at them.
a) The person closes his eyes, picks a coin from pocket at
random, and tosses it. What is the probability that the down-side
of the coin is heads?
b) He opens his eyes and sees that the up-side of the coin is
heads. What is the...
Find the equation of the hyperbola with: (a) Foci (1, −3) and (1, 5) and one...
Find the equation of the hyperbola with:
(a) Foci (1, −3) and (1, 5) and one vertex (1, −1).
(b) Vertices (2, −1) and (2, 3), and asymptote x = 2y.
Consider the set of points described by the equation 16x2 −4y2
−64x−24y+19=0.
(a) Show that the given equation describes a hyperbola and find
the center of the hyperbola.
(b) Determine the equations of the directrices as well as the
eccentricity.
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Enter the last usable host on the network of which the host 74.200.198.88/27 is a part.
- Where is the mutual wellbeing in a commercial exchange? How does it different from the mutual...
- For a system coupled to a work reservoir and heat bath of temperature T, show that...
- A 11.0 nC charge is at x = 0cm and a -1.3 nC charge is at...
- Explain one other method (besides electrophoresis) that could be used to purify proteins and compare it...
- For the just completed year, Hanna Company had net income of $134,000. Balances in the company’s...
- Which one would you rather have: a) The future value of $5,000 per year for 10...
ADVERTISEMENT