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Probability - I..
Probability - I..Introduction
In our day to day life, we come across many uncertainty of events. We wake up in the morning and check the weather report. The statement could be 'there is 60% chance of rain today'. This statement infers that the chance of rain is more than that having a dry weather. We decide upon our break..
Linear Programming
The mathematical models which tells to optimise (minimize or maximise) the objective function Z subject to certain condition on the variables is called a Linear programming problem (LPP)...
Example:
Let S is the sample space which is the population of adults in a small town who have completed the requirement for a college degree. The population is categorized according to sex and employment status as follows \ One of these individual is to be selected for a tour throughout the country. Kn..
Let S is the sample space which is the population of adults in a small town who have completed the requirement for a college degree. The population is categorized according to sex and employment status as follows \ One of these individual is to be selected for a tour throughout the country. Kn..Suggested answer:
Let A be the event of getting a card greater than 2 but less than 9. B be the event of getting a red card. We have to find the probability of A given that B has occurred. That is, we have to find P (A/B). In a deck of cards, there are 26 red cards and 26 black cards. \ n(B) = 26 Among ..
Let A be the event of getting a card greater than 2 but less than 9. B be the event of getting a red card. We have to find the probability of A given that B has occurred. That is, we have to find P (A/B). In a deck of cards, there are 26 red cards and 26 black cards. \ n(B) = 26 Among ..Poisson Distribution as a Limiting Form of the Binomial Distribution
where l is a finite number and is equal to np. The sum of the probabilities P(X = r) or simply P(r) for r = 0, 1, 2, is 1. This can be seen by putting r = 0, 1, 2, in (4) and adding all the probabilities. Also, each of the probabilities is a non-negative fraction. This..
where l is a finite number and is equal to np. The sum of the probabilities P(X = r) or simply P(r) for r = 0, 1, 2, is 1. This can be seen by putting r = 0, 1, 2, in (4) and adding all the probabilities. Also, each of the probabilities is a non-negative fraction. This..Summary
: All the outcomes of a random experiment. Probability of an event: P(A) P(A C ) = Probability of the non-occurrence of A = 1- P(A) Addition Theorem: If A and B are any two events of a random If A, B, C are there events of a random experiment th..
: All the outcomes of a random experiment. Probability of an event: P(A) P(A C ) = Probability of the non-occurrence of A = 1- P(A) Addition Theorem: If A and B are any two events of a random If A, B, C are there events of a random experiment th..Suggested answer:
For the Poisson distribution, the probability function is given by Given P (x = 1) = (0.2) P (X = 2) ..
For the Poisson distribution, the probability function is given by Given P (x = 1) = (0.2) P (X = 2) ..Poisson Distribution
Poisson Distribution - Poisson distribution is a limiting process of binomial distribution. Poisson distribution occurs when there are events which do not occur as outcomes of a definite number of outcomes. Poisson distribution is used under the following conditions: Number of trials n tends to inf..
Poisson Distribution - Poisson distribution is a limiting process of binomial distribution. Poisson distribution occurs when there are events which do not occur as outcomes of a definite number of outcomes. Poisson distribution is used under the following conditions: Number of trials n tends to inf..Suggested answer:
Let X be the random variable which represents number of defective items selected which has a binomial distribution with n = 10, p = 0.1, q = 0.9 Probability that the guarantee is satisfied = ..
Let X be the random variable which represents number of defective items selected which has a binomial distribution with n = 10, p = 0.1, q = 0.9 Probability that the guarantee is satisfied = .. Result
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