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If A and B are mutually exclusive, the general addition rule is:
Two random variables X and Y are said to be independent if:
The value of k so that following is probability mass function X:Â Â Â Â Â Â Â Â Â Â Â -2Â Â Â Â Â Â Â Â Â Â Â -1Â Â Â Â Â Â Â Â Â Â Â 0Â Â Â Â Â Â Â Â Â...
If moment generating function of discrete random variable X is (q + pet )n , then E(X2) equals to
The standard deviation of Y is double of standard deviation of X. The correlation coefficient between X and Y is 0.5. The acme angle between lines of regre...
If mean and mode of the distribution is 32 and 21, then the distribution:
To estimate the average work experience of MBA students at a management institute, five students are selected at random from each type of background, say c...
Which of the following options is correct when data is classified on the basis of attributes?
If the third quartile of the following data set 7,10,7,8,9 is 9.5, then the value of quartile deviation is:
The arithmetic mean of the following frequency distribution of number of members in family in the society                X:        ...
The prices (in Rs.) for the commodity ABC,XYZ, MNO, and IJK in base year (2020) are 20, 18, 12, 24 and in current year (2022) are 25, 22, 15, 28 respective...
The mean and median of the distribution is 12 and 15. Then the mode equals to:
The fair dice is rolled 15 times and face value are noted Face Value:Â Â Â Â Â Â Â Â 1Â Â Â Â Â Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â ...
If the population kurtosis of the observations 16,12,6,2,4,10 is 1.7414, then population kurtosis of the 8,6,3,1,2,5 is
Recession in industry is associated with the:
Which of the following correctly completes the given statement? Index number helps in: (I) determining the cost of living (II) fixing the dearness allowanc...
Which of the following options is INCORRECT?
Which option is incorrect?
If random variable X follows binomial distribution with parameter n and p with mean 15 and variance 10, then the value of mode is
If the first, second and third moment about origin are 2, 8 and 14. respectively, then Karl Pearson gamma coefficient of skewness y1 is:
Two data sets of sizes 6 and 9 have standard deviation 3 and 4, respectively, and arithmetic means 4 and 4, respectively. The standard deviation of combine...
A physical instructor claims that the mean weight of students in school is greater than 82 kg with standard deviation 20. If a sample of size 81 students i...
If moment generating function of continuous random variable X is (λ /λ−t) ;t < λ, then E(X3) equals to:
For frequency distribution presentation , which option is wrong.
The arithmetic mean of the following frequency distribution of number of accidents X on week working days is: X:Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â...
Which option is WRONG?
If P(A) = 0.4; P(B ∣ A) = 0.05; P(C ∣ A) = 0.04; P(B ∣ A ∩ C) = 0.09; P(C ∣ A ∩ B) = 0.0 7, then the probability of occurrence of all events eq...
If the population skewness of the observations 8,6,3, 1,2,5 is 0.233, then the population skewness of 16,12,6,2,4,10 is:
If the first, fifth and ninth decile of frequency distribution xi ∣ fi are 3,10,16, respectively, then Kelly's coefficient of skewness is:
For the frequency distribution of income (in lakh) of the employees in factory Class                     1.5-2.5          Â...
These seventh decile (D7) of data set 4, 3, 10, 9, 1 is
For the distribution X:Â Â Â Â Â Â Â Â Â Â Â 1Â Â Â Â Â Â Â Â Â Â Â Â Â 0Â Â Â Â Â Â Â Â Â Â Â Â Â 1 P(x):Â Â Â Â Â 0.3Â Â Â Â Â Â Â Â Â 0.5Â Â Â Â Â ...
If the difference between the rank of the 4 observations are 2.5, 0.5, -1.5, -1.5, then Spearman's rank correlation coefficient equals to:
X1 and X2 represent number of occurrences of event A and 8 that follow Poisson distribution with mean rate λ1 and λ2 , If Y1 and Y2 are inter-occurrence ...
For the distribution with unknown θ We set the testing of hypothesis H0 : θ = 1 vs H1 : θ = 2. When the critical region X ≥ 0.4, the value of probabi...
For the production data Year:Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 1Â Â Â Â Â Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â Â Â Â Â Â ...
The grouped data for the observations are Class:Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 1-3Â Â Â Â Â Â Â Â Â 3-5Â Â Â Â Â Â Â Â Â 5-7 Frequency:Â Â Â Â ...
For the data set X:Â Â Â Â Â Â Â Â Â Â Â 1Â Â Â Â Â Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â Â Â Â Â ...
The value of a and b so that the following is probability mass function X:Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 0Â Â Â Â Â Â Â Â Â Â Â Â Â...
If A,B and C are arbitrary events, then P(A ∩ B ∩ C) equals to:
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