Question
In: Advanced Math
A country uses bronze coins with denominations of 1 peso, 2 pesos, 3 pesos, and 5...
A country uses bronze coins with denominations of 1 peso, 2 pesos, 3
pesos, and 5 pesos, silver coins of denominations of 2 pesos and 5
pesos, and uses gold coins with denominations of 5 pesos, 10 pesos,
and 20 pesos. Show work.
a ) Find a recurrence relation for the number of ways to pay a bill of n
pesos if the order in which the coins are paid matters
b) How many ways are there to pay a bill of 6 pesos
if the order in which the coins are
paid matters?
Solutions
Colby Messinger answered 1 year agoRelated Solutions
A box contains 5 fair coins, 4 coins that land heads with probability 1/3 , and...
A box contains 5 fair coins, 4 coins that land heads with
probability 1/3 , and 1 coin that lands heads with probability 1/4
. A coin is taken from the box at random and flipped repeatedly
until it has landed heads three times. Let X be the number of times
that the coin is flipped and Y be the probability that the coin
lands heads.
(a) Find the random variables E(X|Y ) and var(X|Y ) in terms of
Y...
A box contains 5 fair coins, 4 coins that land heads with probability 1/3 , and...
A box contains 5 fair coins, 4 coins that land heads with
probability 1/3 , and 1 coin that lands heads with probability 1/4
. A coin is taken from the box at random and flipped repeatedly
until it has landed heads three times. Let X be the number of times
that the coin is flipped and Y be the probability that the coin
lands heads.
(a) Find the random variables E(X|Y ) and var(X|Y ) in terms of
Y...
A box contains 5 fair coins, 4 coins that land heads with probability 1/3 , and...
A box contains 5 fair coins, 4 coins that land heads with
probability 1/3 , and 1 coin that lands heads with probability 1/4
. A coin is taken from the box at random and flipped repeatedly
until it has landed heads three times. Let X be the number of times
that the coin is flipped and Y be the probability that the coin
lands heads.
(a) Find the random variables E(X|Y ) and var(X|Y ) in terms of
Y...
5 coins are put in a bag. 2 of the coins are weighted with the probability...
5 coins are put in a bag. 2 of the coins are weighted with the
probability of flipping heads being three times as great than the
probability of flipping tails; the remaining coins are fair. One of
these coins is selected at random and then flipped once. What is
the probability that a weighted coin was selected given that heads
was flipped?
A jar contains 3 pennies, 3 nickels and 5 dimes. A child selects 2 coins at...
A jar contains 3 pennies, 3 nickels and 5 dimes. A child selects
2 coins at random without replacement from the jar. Let X represent
the amount in cents of the selected coins.
Find the probability X = 10.
Find the probability X = 11.
Find the expected value of X.
Instructions: 1. Get 4 coins, any country, any value, as long as it is 2-sided with...
Instructions:
1. Get 4 coins, any country, any value, as long as it is
2-sided with heads on one side and tails on the other.
2. Without actually flipping the coins, write down what you
think would be the subjective probabilities of the following
sequences:
A. P(THHT) B. P(TTTT) C. P(THTT)
A subjective probability is a probability measurement based on
your opinion or judgment or historical facts or current events
without conducting an experiment or using any mathematical theories
for...
Instructions: 1. Get 4 coins, any country, any value, as long as it is 2-sided with...
Instructions:
1. Get 4 coins, any country, any value, as long as it is
2-sided with heads on one side and tails on the other.
2. Without actually flipping the coins, write down what you
think would be the subjective probabilities of the following
sequences:
A. P(THHT) B. P(TTTT) C. P(THTT)
A subjective probability is a probability measurement based on
your opinion or judgment or historical facts or current events
without conducting an experiment or using any mathematical theories
for...
In 2015, the Argentine government purchased 5 million flat screen televisions (worth 100 pesos each) from a television manufacturer and then sold them to poor people for 1 peso each.
1.In 2015, the Argentine government purchased 5 million flat
screen televisions (worth 100 pesos each) from a television
manufacturer and then sold them to poor people for 1 peso each. The
poor people would not otherwise have purchased the televisions.
What was the impact on Argentine GDP of the government selling the
televisions to the poor people?a.Unable to determine, since it would depend on whether or not the
televisions were produced by domestic or foreign manufacturers.b.GDP went down by 495,000,000...
A jar contains 5 pennies, 3 nickels and 8 dimes. A child selects 2 coins at...
A jar contains 5 pennies, 3 nickels and 8 dimes. A child selects
2 coins at random without replacement from the jar. Let X represent
the amount in cents of the selected coins. Find the probability X =
10. Find the probability X = 11. Find the expected value of X.
Country A Country B Soybeans 6 12 Textiles 6 8 Suppose that wb=Peso 1000 and e=2...
Country A
Country B
Soybeans
6
12
Textiles
6
8
Suppose that wb=Peso 1000 and e=2
(e is the exchange rate). What is the maximum level of
wa (expressed in $) such that these 2 countries trade
according to Comparative Advantage?
a) 1500
b) 2666
c) 4000
d) 8000
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