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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
Below a question is given with one passage and its effects (I) and (II). One of these effects or both or none may be the effect of the statement. Read both the effect and decide which of the following answer choice correctly depicts the relationship between these cause and effect. Passage: In the urban area there exist a lot of industries, commercial places and public places religious places which involve a lot of a  people and working machinery note of sound and when this sound becomes unpleasant it is known as noise. it is one of the reasons why public authorities have divided the city into a number of zones is known as a different noise level. Effects: I        Noise leads to emotional and behavioural stress. A person may feel disturbed in the presence of loud noise such as produced by heating of drums. II       Noise may cause damage to the liver, brain, and heart.  
Which of the following are the basic differences between vibration signature and noise signature? 1. Vibration signature is essentially in the frequency range zero to 100 cps whereas noise signature is in the range 20 cps to 3000 cps. 2. Vibration signature has well-defined peaks whereas the noise signal is smeared. 3. The intensities of noise signatures arc much less than that of vibration signatures. 4. Detection of vibration signature calls for a microphone whereas that of noise can do with a pickup. Select the correct answer using the code given below.
Thermal noise shot noise and transit time noise is part of internal noise in communication.
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.
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.
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?
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)