Math 201 Module 1



Math 201 Module 1

Problem 1

P (Car Accident) = 177/ 177 + 107 = 0.623

Problem 2

Number of members earns greater than $102,000 = 11

Total number of members = 20

P (x>102) = 11 / 20 = 0.55

Problem 3

Number of students from Kenilworth = 8

Total number of students = 44

P (x = Kenilworth) = 8 / 44 = 0.1818

Problem 4

Probability for the 1st question to be correct = 1 / 4

Therefore the probability for the first and second question to be correct = ¼ * ¼ = 1/16

Problem 5

Number of people suffering from high blood pressure = 300

Total number of people = 1906

Probability that the next person who comes in to give blood will have high blood pressure = 300/1906 = 0.157

Independent and Dependent Events

Two events are said to be independent if the related probability of one event does not put any harm on the occurring of the other event. For example, picking a ball from two different bags will not cause any effect on the probability of either bag. But if two balls are drawn from the similar bag then the probability for the second selected ball will be depending on the selection of the first ball. These types of events are called Dependent events.

Basic Logic of Probability Theory

The probability seeks to analyze, calculate the possibility of an event happening composed of one or more results of a random process, i.e. a process that has at least two different results, the probability theory is based on two approaches which are subjective probability and objective probability. The objective probability which refers to the result is independent of the person who performed the study.

Classical definition, or a priori theoretical probability is that it is one in which the results of the experiment are known and only need to apply a logical or mathematical rules some. At this point it is necessary to implement the experiment for n number of times to know the result is going to give to the future. The formula used for calculating the probability is f (a) / n where f (a) is the result of the absolute frequency and n is the number of times that the experiment was applied.

Joint probabilities of simple events

The probability for two events occurring at the same time is called joint probability of events. For example, a certain market has both an express checkout line and a super ...