Probability

July 13, 2015 by Arjun Suresh 7 Comments

Syllabus

Random variables.
Uniform, normal, exponential, poisson and binomial distributions.
Mean, median, mode and standard deviation.
Conditional probability and Bayes theorem.

“No changes since 2016”

Book

Sheldon Ross

Video

Web Links

Previous Year Questions

http://gateoverflow.in/questions/mathematics/probability

Important Questions

http://gateoverflow.in/blog/18/important-questions-in-probability

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Numbers are being represented in 2s Complement form Now A is given as 1 (0000 0001) 2’s complement of A (+1)= 0111 1111 Now what no will be added to make sum longest to stabilize (Carry at each stage) is 1111 1111 so Decimal value of B is -1 [...]

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T -> Person speaking Truth H-> Head appears Given proposition , T H Case 1: Person is Type 1 , speaking Truth hence HEAD. Case 2: Peson is type 2 , speaking false hence negation of given proposition is what the perosn is saying ( since he is a lyer ) . In the proposition T is False ( since he is lying) , if H is false then F F is True but it's a contradiction , So H has to be true to make the proposition False .. Hence, Option A [...]

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All of the girls agree that the first three numbers are 995. Three of them agree that the fourth number is 9. Three agree that the fifth number is 2. Three agree that the sixth number is 6; three others agree that the seventh number is also 6. "Option A" is the best choice because it is made up of the numbers that most of the girls agree they saw. [...]

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Correct Answer: (D) Explanation: This game introduces the idea of reciprocal causation. For example, the constraint that says “If A, then B, and if B, then A” should be transcribed in one of the following two ways, based on the configurations of the other variables in the diagram: You will run into reciprocal causation in the final constraint of this logic game. Here are the final diagrams that you should create: Notice how the reciprocal causation constraints are diagrammed. Be aware of the implications of these constraints. For instance, if $B$ is not sent (diagram B), then $A$ cannot… [...]

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Correct Answer: (D) Explanation: This game introduces the idea of reciprocal causation. For example, the constraint that says “If A, then B, and if B, then A” should be transcribed in one of the following two ways, based on the configurations of the other variables in the diagram: You will run into reciprocal causation in the final constraint of this logic game. Here are the final diagrams that you should create: Notice how the reciprocal causation constraints are diagrammed. Be aware of the implications of these constraints. For instance, if $B$ is not sent (diagram B), then $A$ cannot… [...]

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Answered: NIELIT 2016 MAR Scientist D: 6

Correct Answer: (A) Explanation: This game introduces the idea of reciprocal causation. For example, the constraint that says “If $A$, then $B$, and if $B$, then $A$” should be transcribed in one of the following two ways, based on the configurations of the other variables in the diagram: You will run into reciprocal causation in the final constraint of this logic game. Here are the final diagrams that you should create: Notice how the reciprocal causation constraints are diagrammed. Be aware of the implications of these constraints. For instance, if $B$ is not sent (diagram B), then $A$ cannot be sent… [...]

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The answer is (C). three [...]

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The answer is (B). $K$ and $L$ [...]

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