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PROBABILITY DISTRIBUTION
Ordinarily speaking the probability of an event denotes the likelihood of its happening. The value of probability ranges between 0 an 1. If an event is certain to happen it probability would be i and if it is p certain that the event would not take place then the probability of its happening is 0. Ordinarily in social science the probability of the happening of an event is rarely 1 or 0. The reason is that in social sciences we deal with situation where there is always as element of uncertainty about the happening or not happening of an event. For this reason the probability of the events is somewhere between 0 and 1.
The general rule of the happening of an event is that if an event can happen in ways and fail to happen in n ways them the probability of the happening of the vent is given by.
P = m / m+ n or
P= Number of cases favourable to the occurrence of the event / total number of mutually exclusive and exhaustive cases
Odds in favour of the occurrence of the event
= m/n= Number of cases favourable to the occurrence of the event/ the number of cases against the occurrence of the event
Odds against the occurrence of the event
m/n= The number of cases against the occurrence of the event/ the number of cases favourable to the occurrence of the even.
Tied Ranks Equal or Repeated Rank When two or more items have equal values it is difficult to give ranks to them. In that case the items are given the average of the
Why Two regression Lines Once regression line cannot minimize the sum of square of deviations for both the x and Y series unless the relationship between them indicat
Standard Deviation The standard deviation of samples (s) can be estimated by the pilot study past studies and the ranges of distribution. A pilot study may be conducted
Consider the following network where the value on each arc represents the capacity of that arc. Use the augmenting path algorithm to find the value of the maximum flow from node 1
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A paper mill produces two grades of paper viz., X & Y. Because of raw material restrictions, it cannot produce more 400 tons of grade X paper & 300 tons of grade Y paper in a week.
INFORMATION RESOURCES: Information resources are of two kinds, namely, Documentary and Non-Documentary Sources. Documentary Sources: A document embodies thought. I
A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i
Operation Research may be regarded as a tool which is utilized to increase the effectiveness of the management decisions. O R is objective supplement to the subjective feeling
It can be seen from the optimal solution for the foundry problem that two resources, raw material-1 and labor, are exhausted whereas the other two resources, raw materi
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