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What is the probability of 1 success in 4 trials, if the probability o..
What is the probability of 1 success in 4 trials, if the probability of success on each trial is 0.3? => 0.4116 or 0.0756 or 0.0081 or 1.2..
Summary
1. If x is a discrete random variable assuming the values x 1 , x 2 , x 3 ,.,x n with probabilities p 1 , p 2 , p 3 ,., p n respectively then (x 1 ,p 1 ), (x 2 , p 2 ),(x n , p n ) defines a probability..
Binomial Distribution
Binomial Distribution - A trial, which has only two outcomes i.e., "a success" or "a failure", is called a Bernoulli trial. Let X be the number of successes in a Bernoulli trial, then X can take 0 or 1 and P(X =1) = p =..
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 infinity Pr..
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 infinity Pr..Binomial Distribution
A trial, which has only two outcomes i.e., "a success" or "a failure", is called a Bernoulli trial . The probability distribution of the number of successes, so obtained is called the binomial distribution..
Mutually Exclusive Events
Two events associated with a random experiment are said to be mutually exclusive, if both cannot occur together in the same trial. In the experiment of throwing a die, the events A = {1, 4} and B = {2, 5, 6} are mutually exclusive events. In the same experiment, the e..
Two events associated with a random experiment are said to be mutually exclusive, if both cannot occur together in the same trial. In the experiment of throwing a die, the events A = {1, 4} and B = {2, 5, 6} are mutually exclusive events. In the same experiment, the e..Permutations and Combinations Summary
Summary - The fundamental principle of counting (F.P.C) states that if an operation can be performed in m different ways and if for each such choice, another operation can be performed in n different ways, then both operations, in succession can be performed in exactly mn different ways. ..
Probability of an Event
If a trial results in n-exhaustive, mutually exclusive and equally likely cases and m of them are favourable to the occurrence of an event A, then the probability of the happening of A, denoted by P(A), is given by: P(A) = m/n. Important terms are 1. Statistical..
Random Experiment and Sample Space
An experiment repeated under essentially homogeneous and similar conditions results in an outcome, which is unique or not unique but may be one of the several possible outcomes. When the result is unique then the experiment is called a deterministic experiment . Any experim..
Suggested answer:
The intersection of the half planes 2x + y 3 and x - y 0 is shown as shaded region in the figure. Feasible region is an unbounded convex region at A (0, 3), Z = 6 (0) + 3 = 3 At B (1, 1), Z = 6(1..
The intersection of the half planes 2x + y 3 and x - y 0 is shown as shaded region in the figure. Feasible region is an unbounded convex region at A (0, 3), Z = 6 (0) + 3 = 3 At B (1, 1), Z = 6(1.. Result
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