Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Multiplication Rule: Dependent Events
The joint probability of two events A and B which are dependent is equal to the probability of A multiplied by the probability of B given that A has occurred.
P(A and B) =P(A) P(B|A)
or P(B and A) =P(B) . P(A|B)
This formula is derived from the formula of conditional probability of dependent events.
P(B|A) =
Þ P(A and B) = P(B|A).P(A)
Example
A study of an insurance company shows that the probability of an employee being absent on any given day P(A) is 0.1. Given that an employee is absent, the probability of that employee being absent a second day in succession P(B|A) is 0.4. Events A and B are dependent events because B cannot occur unless event A has occurred. The probability of an employee being absent on two successive days
P(A and B) =P(A) . P(B|A)
=(0.1) (0.4) = 0.04
Thus, the probability of an employee being absent on two successive days is 0.04 or 4% of the time.
Joint probability of several dependent events is equal to the product of the probabilities of occurrence of the preceding outcomes in the sequence.
P(A and B and C...) = P(A) P(B|A) P(C|A and B) ....
history about cauchy mean value theorem ..
Question 1 An experiment succeeds twice as often as it fails. Find the chance that in the next six trials there will be at least four successes Question 2 An insurance compan
Can anybody suggest me any example of Set Representation?
Direction Cosines This application of the dot product needs that we be in three dimensional (3D) space not like all the other applications we have looked at to this point.
Mr. Hoper is in charge of investments for the golden horizon company. He estimates from past price fluctuations in the gold market that the probabilities of price changes on a give
Q. Define histogram? Ans. A histogram is a bar graph that gives the frequency of each value. Here are a few examples to illustrate the usefulness of this method of data r
8+2=
Horizontal tangents for Parametric Equations Horizontal tangents will take place where the derivative is zero and meaning of this is that we'll get horizontal tangent at value
Question: The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature. (a) Construct a decision tr
Find out the two inputs when the NAND gate output will be low. Ans. The output of NAND gate will be low if the two inputs are 11. The Truth Table of NAND gate is shown
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!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd