Problem 16.96. A coin with with probability p of heads is tossed unti.pdf
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Problem 16.96. A coin with with probability p of heads is tossed until you get TT (two consecutive tails). Compute Pn, the probability that you toss the coin n times. (a) What are P2 and P3 ? Use total probability to show: Pn=pPn1+p(1p)Pn2 for n>2. (b) Solve the recurrence and show Pn=a(+n1n1). (What are a,+,?) Verify with Monte Carlo simulation..
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// Problem 2
// struct to hold information about a song
struct Song
{
int id;
char name[MAX_SONG_NAME_LENGTH];
char singer[MAX_SINGER_NAME_LENGTH];
genreType genre;
int year;
struct Song* next;
};
// Function declarations
struct Song* createSong(int id, char* name, char* singer, char* genre, int year);
void printPlaylist(struct Song* playlist);
void add_song(struct Song** playlist, struct Song* newSong);
struct Song* search_song(struct Song* playlist, char* name);
int edit_song(struct Song* playlist, char* name, char* singer, char* genre, int year);
int delete_song(struct Song* playlist, char* name);
// function to create a new song
struct Song* createSong(int id, char* name, char* singer, char* genre, int year)
{
struct Song* newSong = (struct Song*)malloc(sizeof(struct Song));
newSong->id = id;
strcpy(newSong->name, name);
strcpy(newSong->singer, singer);
if (strcmp(genre, "Pop") == 0)
newSong->genre = 1;
else if (strcmp(genre, "Rock") == 0)
newSong->genre = 2;
else if (strcmp(genre, "Reggae") == 0)
newSong->genre = 3;
else if (strcmp(genre, "Country") == 0)
newSong->genre = 4;
else if (strcmp(genre, "Blues") == 0)
newSong->genre = 5;
else if (strcmp(genre, "Balad") == 0)
newSong->genre = 6;
else
newSong->genre = 0;
newSong->year = year;
newSong->next = NULL;
return newSong;
}
// function to print the playlist
void printPlaylist(struct Song* playlist)
{
struct Song* current = playlist;
while (current != NULL)
{
printf("%d\t%s\t%s\t%d\t%d\n", current->id, current->name, current->singer, current-
>genre, current->year);
current = current->next;
}
}
// function to add a song to the end of the playlist
void add_song(struct Song** playlist, struct Song* newSong)
{
// TODO: Implement function
}
// function to search for a song by name
struct Song* search_song(struct Song* playlist, char* name)
{
// TODO: Implement function
}
// function to edit a song by name
int edit_song(struct Song* playlist, char* name, char* singer, char* genre, int year)
{
// TODO: Implement function
}
// function to delete a song by name
int delete_song(struct Song* playlist, char* name)
{
// TODO: Implement function
}
void flushSngIn()
{
char c;
do
c = getchar();
while (c != '\n' && c != EOF);
}
int main()
{
// Problem 1
int choice = 0;
int songCount = 0;
char songName_input[MAX_SONG_NAME_LENGTH],
singerName_input[MAX_SINGER_NAME_LENGTH];
char genre_input[20];
unsigned int year_input, add_result = 0;
struct musicRepository music[20];
struct musicRepository* song = NULL;
initializeRepository(music, 20);
music[0].ID = numSongs + 1; numSongs++;
strcpy(music[0].songName, "Shape of You");
strcpy(music[0].singerName, "Ed Sheeran");
music[0].genre = 1;
music[0].year = 2017;
songCount++;
music[1].ID = numSongs + 1; numSongs++;
strcpy(music[1].songName, "Despacito");
strcpy(music[1].singerName, "Luis Fonsi");
music[1].genre = 1;
music[1].year = 2017;
songCount++;
music[2].ID = numSongs + 1; numSongs++;
strcpy(music[2].songName, "Uptown Funk");
strcpy(music[2].singerName, "Mark Ron.
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opciones:
2 sillas por hora
1 hora por silla
80 sillas
10 sillas
Pregunta 2 (1 punto)
Qu es el capital humano?
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Son los conocimientos y habilidades que los trabajadores adquieren a travs de la educacin, la
formacin y la experiencia.
Es el stock de equipos y estructuras que se utiliza para producir bienes y servicios.
Es el nmero total de horas trabajadas en una economa.
Es lo mismo que el conocimiento tecnolgico.
Pregunta 3
Qu afirmacin describe mejor la salida si una funcin de produccin tiene rendimientos constantes a
escala? Opciones:
La duplicacin de entradas duplicar la salida.
La duplicacin de entradas triplicar la salida.
Duplicar las entradas aumentar la produccin.
Duplicar las entradas disminuir la salida.
Pregunta 4 (1 punto)
Mnica trabaja 8 horas y produce 7 unidades de bienes por hora. Rachel trabaja 6 horas y produce
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Pregunta 4 opciones:
La productividad de Monica es mayor que la de Rachel, pero la produccin de Monica es menor.
La productividad y el rendimiento de Rachel son mayores que los de Monica.
La productividad y el rendimiento de Monica son mayores que los de Rachel.
La productividad de Rachel es mayor que la de Monica, pero la produccin de Rachel es menor.
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Qu lista contiene, en este orden, recursos naturales, capital humano y capital fsico?
Pregunta 5 opciones:
para una empresa petrolera: el petrleo que saca a la superficie; las plataformas; las refineras
utilizando su petrleo
para un ferrocarril: combustible; ingenieros ferroviarios; vas del tren
para un restaurante: el terreno donde se encuentra; las cosas de la cocina; los congeladores
donde se guardan los filetes
para una empresa de muebles: madera; la cafetera de la empresa; sierras
Pregunta 6 (1 punto)
Supn que construyes casas para pjaros. Un da, duplica el tiempo que dedica a construir y duplica
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pjaros. Qu tipo de funcin de produccin es esta?
Pregunta 6 opciones:
rendimientos crecientes a escala
rendimientos constantes a escala
rendimientos decrecientes a escala
cero rendimientos a escala
Pregunta 7 (1 punto)
Si la tasa de ahorro de un pas aumenta, qu sucede a largo plazo?
Pregunta 7 opciones:
Los ingresos aumentan.
La productividad disminuye.
La productividad aumenta ms rpido.
Los ingresos disminuyen ms rpido.
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Suponga que hay rendimientos decrecientes del capital. Supongamos tambin que dos pases son
iguales, excepto que uno tiene menos capital y, por lo tanto, menos PIB real por persona.
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Ambos pases tendrn permanentemente mayores tasas de crecimiento del PIB real por persona, y
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according to his own opinions on the wickedness of each sin. Consider this ranking and what he
thought wasn't a terrible sin and what he thought were the worst sins. Choose 3 of the following
"modern sins" which Dante might consider a sin today and then answer the prompt. Choose 3 of
these "sins," and place them within Dante's version of Hell, and describe a punishment for
it.Remember to include an explanation for why you think Dante would place the sin in that
particular ring in Hell and the punishment. - Cyberbullying - Internet piracy - Playing music too
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When a state law comes into direct conflict with a federal law: the state law takes precedence.
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// Problem 2
// struct to hold information about a song
struct Song
{
int id;
char name[MAX_SONG_NAME_LENGTH];
char singer[MAX_SINGER_NAME_LENGTH];
genreType genre;
int year;
struct Song* next;
};
// Function declarations
struct Song* createSong(int id, char* name, char* singer, char* genre, int year);
void printPlaylist(struct Song* playlist);
void add_song(struct Song** playlist, struct Song* newSong);
struct Song* search_song(struct Song* playlist, char* name);
int edit_song(struct Song* playlist, char* name, char* singer, char* genre, int year);
int delete_song(struct Song* playlist, char* name);
// function to create a new song
struct Song* createSong(int id, char* name, char* singer, char* genre, int year)
{
struct Song* newSong = (struct Song*)malloc(sizeof(struct Song));
newSong->id = id;
strcpy(newSong->name, name);
strcpy(newSong->singer, singer);
if (strcmp(genre, "Pop") == 0)
newSong->genre = 1;
else if (strcmp(genre, "Rock") == 0)
newSong->genre = 2;
else if (strcmp(genre, "Reggae") == 0)
newSong->genre = 3;
else if (strcmp(genre, "Country") == 0)
newSong->genre = 4;
else if (strcmp(genre, "Blues") == 0)
newSong->genre = 5;
else if (strcmp(genre, "Balad") == 0)
newSong->genre = 6;
else
newSong->genre = 0;
newSong->year = year;
newSong->next = NULL;
return newSong;
}
// function to print the playlist
void printPlaylist(struct Song* playlist)
{
struct Song* current = playlist;
while (current != NULL)
{
printf("%d\t%s\t%s\t%d\t%d\n", current->id, current->name, current->singer, current-
>genre, current->year);
current = current->next;
}
}
// function to add a song to the end of the playlist
void add_song(struct Song** playlist, struct Song* newSong)
{
// TODO: Implement function
}
// function to search for a song by name
struct Song* search_song(struct Song* playlist, char* name)
{
// TODO: Implement function
}
// function to edit a song by name
int edit_song(struct Song* playlist, char* name, char* singer, char* genre, int year)
{
// TODO: Implement function
}
// function to delete a song by name
int delete_song(struct Song* playlist, char* name)
{
// TODO: Implement function
}
void flushSngIn()
{
char c;
do
c = getchar();
while (c != '\n' && c != EOF);
}
int main()
{
// Problem 1
int choice = 0;
int songCount = 0;
char songName_input[MAX_SONG_NAME_LENGTH],
singerName_input[MAX_SINGER_NAME_LENGTH];
char genre_input[20];
unsigned int year_input, add_result = 0;
struct musicRepository music[20];
struct musicRepository* song = NULL;
initializeRepository(music, 20);
music[0].ID = numSongs + 1; numSongs++;
strcpy(music[0].songName, "Shape of You");
strcpy(music[0].singerName, "Ed Sheeran");
music[0].genre = 1;
music[0].year = 2017;
songCount++;
music[1].ID = numSongs + 1; numSongs++;
strcpy(music[1].songName, "Despacito");
strcpy(music[1].singerName, "Luis Fonsi");
music[1].genre = 1;
music[1].year = 2017;
songCount++;
music[2].ID = numSongs + 1; numSongs++;
strcpy(music[2].songName, "Uptown Funk");
strcpy(music[2].singerName, "Mark Ron.
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opciones:
2 sillas por hora
1 hora por silla
80 sillas
10 sillas
Pregunta 2 (1 punto)
Qu es el capital humano?
opciones:
Son los conocimientos y habilidades que los trabajadores adquieren a travs de la educacin, la
formacin y la experiencia.
Es el stock de equipos y estructuras que se utiliza para producir bienes y servicios.
Es el nmero total de horas trabajadas en una economa.
Es lo mismo que el conocimiento tecnolgico.
Pregunta 3
Qu afirmacin describe mejor la salida si una funcin de produccin tiene rendimientos constantes a
escala? Opciones:
La duplicacin de entradas duplicar la salida.
La duplicacin de entradas triplicar la salida.
Duplicar las entradas aumentar la produccin.
Duplicar las entradas disminuir la salida.
Pregunta 4 (1 punto)
Mnica trabaja 8 horas y produce 7 unidades de bienes por hora. Rachel trabaja 6 horas y produce
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Pregunta 4 opciones:
La productividad de Monica es mayor que la de Rachel, pero la produccin de Monica es menor.
La productividad y el rendimiento de Rachel son mayores que los de Monica.
La productividad y el rendimiento de Monica son mayores que los de Rachel.
La productividad de Rachel es mayor que la de Monica, pero la produccin de Rachel es menor.
Pregunta 5 (1 punto)
Qu lista contiene, en este orden, recursos naturales, capital humano y capital fsico?
Pregunta 5 opciones:
para una empresa petrolera: el petrleo que saca a la superficie; las plataformas; las refineras
utilizando su petrleo
para un ferrocarril: combustible; ingenieros ferroviarios; vas del tren
para un restaurante: el terreno donde se encuentra; las cosas de la cocina; los congeladores
donde se guardan los filetes
para una empresa de muebles: madera; la cafetera de la empresa; sierras
Pregunta 6 (1 punto)
Supn que construyes casas para pjaros. Un da, duplica el tiempo que dedica a construir y duplica
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Pregunta 6 opciones:
rendimientos crecientes a escala
rendimientos constantes a escala
rendimientos decrecientes a escala
cero rendimientos a escala
Pregunta 7 (1 punto)
Si la tasa de ahorro de un pas aumenta, qu sucede a largo plazo?
Pregunta 7 opciones:
Los ingresos aumentan.
La productividad disminuye.
La productividad aumenta ms rpido.
Los ingresos disminuyen ms rpido.
Pregunta 8 (1 punto)
Suponga que hay rendimientos decrecientes del capital. Supongamos tambin que dos pases son
iguales, excepto que uno tiene menos capital y, por lo tanto, menos PIB real por persona.
Suponga que ambos aumentan su tasa de ahorro del 3 al 4 por ciento. Qu pasar a la larga?
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Ambos pases tendrn permanentemente mayores tasas de crecimiento del PIB real por persona, y
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