probability worked out examples


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Worked examples on Ogive
Ogive (Cumulative Frequency Curve) - There are two ways of constructing an ogive or cumulative frequency curve. (Ogive is pronounced as O-jive). The curve is usually of 'S' shape. We illustrate both methods by examples given below: Draw a 'less than' ogive curve for the following dat..
Demerits:
This is mathematically incomplete because it ignores negative signs. As it can be calculated from any average, it does not have certainty (i.e., it is not a well defined measure). Its use is very limited in statistical work..
Conclusion
The graphical method of solving an LPP is possible only if there are two decision variables (say x and y). This method is not suitable if there are three or more decision variables. In this case, there is a powerful method called 'simplex method'. The wide usage of liner programming helps in ..
Discrete Variables
A discrete variable can assume only integral values which can be counted. Number of pupils in a school, persons working in a factory are examples of discrete variables. A list of some important terms is given below. (i) ungrouped data (ii) tabulation of data (iii) range (iv) fr..
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In tossing a fair die, what is the probability that the outcome is odd or grater than ..
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In throwing a die experiment, what is the probability of occuring a number greater than 8..
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An experiment consists of 'tossing a die and observing the number on the upper-most face' In such cases, we talk of chance of probability, which numerically measures the degree of chance of the occurrence of even..
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Probability of solving a specific problem independently by A and B are respectively. If both try to solve the problem independently, find the probability that the problems be solve..
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5 cards are drawn successively with replacement from well shuffled deck of 52 cards. What is the probability that i) all the five cards are spades ii) only 3 cards are spades iii) none is a spa..
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Consider the experiment of throwing a die. 2) Compound Event: If an event has more than one sample points, the event is called a compound event . In the above example, of throwing a die, {1, 4} is a compound event. 3) Null Event ( f ): As null set is a subset of S, it is also an ev..
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