In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Miguel sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.16 visitors purchased no costume.157 visitors purchased exactly one costume.17 visitors purchased more than one costume.If next week, he is expecting 1500 visitors, about how many would you expect to buy exactly one costume? Round your answer to the nearest whole number.
Question
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Miguel sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.16 visitors purchased no costume.157 visitors purchased exactly one costume.17 visitors purchased more than one costume.If next week, he is expecting 1500 visitors, about how many would you expect to buy exactly one costume? Round your answer to the nearest whole number.
Solution 1
Primero, vamos a calcular la proporción de visitantes que compraron exactamente un disfraz en el día mencionado.
Número total de visitantes = 16 (que no compraron) + 157 (que compraron uno) + 17 (que compraron más de uno) = 190 visitantes.
Proporción de visitantes que compraron exactamente un disfraz = (número de visitantes que compraron exactamente un disfraz) / (número total de visitantes) = 157 / 190.
Ahora, vamos a usar esta proporción para estimar cuántos visitantes comprarán exactamente un disfraz la próxima semana, cuando se esperan 1500 visitantes.
Número esperado de visitantes que comprarán exactamente un disfraz = (proporción de visitantes que compraron exactamente un disfraz) * (número esperado de visitantes) = (157 / 190) * 1500.
Calculamos esto:
157 / 190 ≈ 0.8263.
0.8263 * 1500 ≈ 1239.45.
Redondeando al número entero más cercano, se espera que aproximadamente 1239 visitantes compren exactamente un disfraz la próxima semana.
Solution 2
Primero, necesitamos determinar la proporción de visitantes que compraron exactamente un disfraz en el día dado. Para ello, sumamos el número total de visitantes y luego calculamos la proporción de aquellos que compraron exactamente un disfraz.
Número total de visitantes: 16 (que no compraron ningún disfraz) + 157 (que compraron exactamente un disfraz) + 17 (que compraron más de un disfraz) = 190 visitantes.
Proporción de visitantes que compraron exactamente un disfraz: 157 (que compraron exactamente un disfraz) / 190 (total de visitantes) ≈ 0.8263.
Ahora, aplicamos esta proporción al número esperado de visitantes la próxima semana (1500 visitantes):
Número esperado de visitantes que comprarán exactamente un disfraz: 0.8263 * 1500 ≈ 1239.45.
Redondeando al número entero más cercano, esperamos que aproximadamente 1239 visitantes compren exactamente un disfraz la próxima semana.
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