Gradebite

Week 3

Hello,

In this week you will learn about the contingency table, union probability, joint probability, conditional probability and the test of independence. 

The Essentials

An introduction to Basic Probability 

Question 1

Use the contingency table below to find the following probabilities.

 

B

B’

A

60

90

A’

70

50

a. P(A)

b. P(A’)

c. P(A and B)

d. P(A or B)

Question 2

The employees of a company were surveyed and asked their educational background and marital status. Of the 600 employees, 400 had university degrees, 100 were single and 60 were singles with a degree.

a. Construct a contingency table for this problem.

b. Find the probability that a randomly selected employee of the company is single or has a university degree.

c. What percentage of single employees have university degrees?

d. Are marital status and educational background statistically independent? Explain.

Question 3

At a certain university, 25% of students are in the business faculty.  Of the students in the business faculty, 66% are males.  However, only 52% of all students at the university are male.

a. What is the probability that a student selected at random in the university is a male in the business faculty?

b. What is the probability that a student selected at random in the university is male or is in the business faculty?

c. What percentage of males are in the business faculty?

Hello!
I am here to Assist You


This help form is only available for subscription members