THE NEW SCHOOL
Proceso Prácticas Pedagógicas
Formato Prueba Parcial / Final
V2.0
Nombre de la prueba

Midterm Test

Asignatura

Matemáticas (English)

Periodo

Primero

Nombre del Estudiante


Grado

Ninth AB

Calificación


Corrección


Docente

Lina Marcela Gómez Quintero

Fecha


Indicadores
 
Analiza las probabilidades de que un evento ocurra como consecuencia de otro, según una situación determinada.

Evalúa la influencia de una variable sobre los cambios reportados por otra, en el contexto de un problema específico.

Comunica sus observaciones respecto de situaciones en las que es visible el efecto de distintas variables sobre las probabilidades de ocurrencia de un evento de interés.

Elabora argumentos fundamentados en los conceptos desarrollados para respaldar sus modelos probabilísticos.

Directions
This test has two parts: the first one is about 4 multiplechoice questions, 0.5 points per question; answer is worth 0.2 points, while the solving process is worth 0.3 points. In the second part, you must choose three out of the four proposed situations, showing your answer (0.3 points each) and all the solving path (0.7 points each).
This test is in pairs, previously arranged by the teacher, but the submission of all the work is individual. You are allowed to use only your own notebook and a scientific calculator. Cellphones are not allowed during all the test.

Part 1. Answer the following questions:
The expression to calculate the conditional probability between A (the probable event) and B (the occurred event) is What is the condition that P(B) must fulfill?




What is the only condition to verify if two events, A and B are independent?




In a library box, there are 8 novels, 8 biographies, and 8 war history books. If Jack selects two books at random, what is the probability of selecting two different kinds of books in a row?

16/23

16/24

8/24

7/23
A new superman MasterCard has been issued to 2000 customers. Of these customers, 1500 hold a Visa card, 500 hold an American Express card and 40 hold a Visa card and an American Express card. Find the probability that a customer chosen at random holds a Visa card, given that the customer holds an American Express card.

1/4

1/3

2/25

1/50
Part 2. Solve the provided problems^{1}, showing all your work in an additional piece of paper. Remember to show the answer at the end (i.e. The distance between A and B is ____________):

Seventy percent of kids who visit a doctor have a fever and 30% of kids with a fever have sore throats. What’s the probability that a kid who goes to the doctor has a fever and a sore throat?

You draw a card at random from a standard deck of cards. Find each of the following conditional probabilities:

The card is a heart, given that it is red.

The card is red, given that it is a heart.

The card is an ace, given that it is red.

The card is a queen, given that it is a face card.

In a monthly report, the local animal shelter states that it currently has 24 dogs and 18 cats available for adoption. Eight of the dogs and 6 of the cats are male. Find each of the following conditional probabilities if an animal is selected at random:

The pet is male, given that it is a cat.

The pet is cat, given that it is female.

The pet is female, given that it is a dog.

Are the species and sex of the animals independent?
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