Probability of independent events, Mathematics

Assignment Help:

Q. Probability of Independent Events?

Ans.

Consider these two events: 
{My name is Shirley}
{The rain is falling}

Are these events related to each other?  No.  My name has no effect on the weather and the fact that it's raining has no effect on my name. 

Two events are independent if the occurrence (or non-occurrence) of one event does not affect the likelihood of the occurrence of the other event.  If one event does affect the occurrence of the other event, the events are dependent.

Probability of Independent Events

Events A and B are independent if and only if P(A∩B) = P(A) X P(B).


Related Discussions:- Probability of independent events

Smith keeps track of poor work, Smith keeps track of poor work. Often on af...

Smith keeps track of poor work. Often on afternoon it is 5%. If he checks 300 of 7500 instruments what is probability he will find less than 20 substandard?

Properties of cross product - vector, Properties of Cross product If u,...

Properties of Cross product If u, v and w are vectors and c is a number then u → * v → = -v → * w →                                                       (cu → ) * v → =

Change of base of logarithms, Change of base: The final topic that we have...

Change of base: The final topic that we have to look at in this section is the change of base formula for logarithms. The change of base formula is,

Explain the rules of divisibility, Explain the rules of Divisibility ? ...

Explain the rules of Divisibility ? Divisible by 2: If the last digit is a 0, 2, 4, 6, or 8, the number is evenly divisible by 2. Divisible by 2 Not

Vectors, |a.x|=1 where x = i-2j+2k then calculate a

|a.x|=1 where x = i-2j+2k then calculate a

Binomial distribution, Binomial Distribution Consider a batch of N ligh...

Binomial Distribution Consider a batch of N light bulbs. Each bulb may be defective (S) or non-defective (F). The experiment involves selecting a light bulb and checking whethe

Prime Ideals, Given a standard 2x3 matrix show the ideal formed by the 2x2 ...

Given a standard 2x3 matrix show the ideal formed by the 2x2 minors is Prime.

Derivatives, Derivatives The rate of change in the value of a...

Derivatives The rate of change in the value of a function is useful to study the behavior of a function. This change in y for a unit change in x is

Evaluate the infinite limits of given limits, Evaluate following limits. ...

Evaluate following limits. Solution Therefore we will taking a look at a couple of one-sided limits in addition to the normal limit here. In all three cases notice

Probability, Question: There are 6 letters and 6 self addressed envelopes.W...

Question: There are 6 letters and 6 self addressed envelopes.What is the probability that atleast 1 is placed correctly?? Ans: If we let A be the event that letter A is in the cor

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd