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A source alphabet consists of N symbols with the probability of the first two symbols being the same. A source encoder increases the probability of the first symbol by a small amount ε and decreases that of the second by ε. After encoding, the entropy of the source
Which of the following statements pertaining to entropy are correct? 1. The entropy of a system reaches its minimum value when it is in a state of equilibrium with its surroundings 2. Entropy is conserved in all reversible processes 3. Entropy of a substance is least in solid phase 4. Entropy of a solid solution is not zero at absolute zero temperature
Consider a binary memoryless channel characterized by the transition probability diagram shown in the figure. The channel is
Information Theory and Coding mcq question image
Arrange the following steps in sequence in order to calculate the probability of an event through Naïve Bayes classifier. I. Find the likelihood probability with each attribute for each class. II. Calculate the prior probability for given class labels. III. Put these values in Bayes formula and calculate posterior probability. IV. See which class has a higher probability, given the input belongs to the higher probability class.
In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of thefour alternatives.
That is why publicly invoking these symbols has to be an act of responsible citizenship and not self­____________ demagoguery, but thedifference can be hard to _______________. The problem with emotive symbols is that _________________ they can multiply the force ofarguments, they cannot replace the arguments__________________. All persuasion harnesses symbols but principled persuasion must alsoprovide arguments that can be _____________ debated. The problem with emotive symbols is that _________________ they can multiply the force of arguments,
A source generates three symbols with probabilities 0.25, 0.25, 0.50 at a rate of 3000 symbols per second. Assuming independent generation of symbols, the most efficient source encoder would have average bit rate is
A probability distribution with right skew is shown in the figure.
Probability and Statistics mcq question image
The correct statement for the probability distribution is
The following are the two statements relating to the theory of probability. Indicate the statements being correct or incorrect.
Statement I The probability of the joint occurrence of independent events A and B is equal to the probability of event A multiplied by the probability of event B or vice-versa.
Statement II The probability of the joint occurrence of independent event A and dependent event B is equal to the probability of event A multiplied by the conditionalprobability of event B when event A has occurredor vice-versa.
The graph of a function f(x) is shown in the figure.
Probability and Statistics mcq question image
For f(x) to be valid probability density function, the value of h is
Availability of drinking water is continuously decreasing. The government decided to identify those sources of drinking water which getting polluted. The following table depicts the number of polluted sources in a district. Source of drinking water getting polluted Number Wells 24 Handpump 12 Dam 12 Borewell 6 Ponds 18 The pictograph table for the above table will be (A) Source of drinking water getting polluted Number symbol = 6 source Wells Handpump Dam Borewell Ponds (B) Source of drinking water getting polluted Number symbol  = 6 source Wells Handpump Dam Borewell Ponds (C) Source of drinking water getting polluted Number symbol  = 6 source Wells Handpump Dam Borewell Ponds (D) Source of drinking water getting polluted Number symbol  = 6 source Wells Handpump Dam Borewell Ponds