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An object X sinks in liquids P and Q but floats in liquid R. Which of the following conclusions can be made from these observations? A) Density of X is more than the density of P B) Density of X is less than the density of R C) Density of P is equal to the density of R D) Density of P is less than the density of R
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
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.
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
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.
Consider the following statements.
1. All valid arguments have only true premises.
2. A sound argument must be valid.
3. An argument with a false conclusion can't be valid.
4. All arguments with true conclusion are valid.
Which of the following statements is/are correct?
Consider the following statements
1. All valid arguments have only true premises.
2. A sound argument must be valid.
3. An argument with a false conclusion cannot be valid.
4. All arguments with true conclusion are valid.
Which of the statements given above is/are correct?
Which of the following statements are true?
1. The classical approach to probability theory requires that the total number of possible outcomes be known or calculated and that each of the outcomes be equally likely.
2. A marginal probability is also known as unconditional probability.
3. For three independent events, the joint probability of the three events, P (ABC) = P (A) × P (B/A) × P (C/AB)
4. Two events are mutually exclusive, exhaustive and equally likely, the probability of either event A or B or both occurring P(A or B) = P(A) + P(B)
An unbalanced dice (with 6 faces, numbered from 1 to 6) is thrown. The probability that the face value is odd is 90% of the probability that the face value is even. The probability of getting any even numbered face is the same.
If the probability that the face is even given that it is greater than 3 is 0.75, which one of the following options is closest to the probability that the face value exceeds 3?
Propositions are
1. Gift made during marz-ul-maut to a heir is valid without the consent of other heirs under Sunnite law
2. Gift made during marz-ul-maut to a heir is valid without the consent of other heirs under Ithna Ashari law
3. Gift made during marz-ul-maut to a heir is valid only with the consent of other heirs, under Sunnite law
4. Gift made during marz-ul-maut to a heir is valid only with the consent of other heirs under the Shia law.
Which amongst the following is correct