length probability and area probability

The Application Areas of Linear Programming are: 1. Transportation Problem 2. Military Applications 3. Operation of System Of Dams 4. Personnel Assignment Problem 5. Other Applications: (a). manufacturing plants, (b). distribution centres, (c). producti..

After the elementary study in probability, let us see how we can utilise this basic knowledge in solving problems of different areas..

(1) Mark class intervals on X-axis and frequencies on Y-axis. (2) The scales for both the axes need not be the same. (3) Class intervals must be exclusive. If the intervals are in inclusive form, convert them to the exclusive form. (4) Draw rectangles with class intervals as bases and the correspo..

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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 ..

Let A and B be any two events associated with a random experiment. The probability of occurrence of event A when the event B has already occurred is called the conditional probability of A when B is given and is denoted as P(A/B..

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 or Empirical P..

Conditional Probability - Let us consider the random experiment of throwing a die. Let A be the event of getting an odd number on the die. \ S = {1, 2, 3, 4, 5, 6} and A = {1, 3, 5} Let B = {2, 3, 4, 5, 6}. If, after the die is thrown, we are given the information, that the event B has oc..

Theorem 1:(Addition Rule of Probability) - If A and B are any two events, th..

So far, we have introduced the sample of an experiment and used it to describe events. In this section, we introduce probabilities associated to the events. If a trial results in n-exhaustive, mutually exclusive and equally likely cases and m of them are favourable to the occurrence of an..