Q241.A and B are two independent sets then P(Ac ∩ ∩B) is equal to -
Correct answer: P(Ac/) P(B)
Q242.If A and B are two events for which (()) 5 6 ∪ = P A B, ((())) ((()) 1 1, 3 2 ∩ = ∩ = ∩ = ∩ = P A B P B. Then, P(A) will be-
Correct answer: 2/3
EnglishKVS PGT 23-12-2018
Q243.Matrices of order 3× × ×3 are formed by using the elements of the set A={–3, –2, –1, 0, 1, 2, 3}, then probability that matrix is either symmetric or skew symmetric is-
Correct answer: 3 6 9 1 1 1 7 7 7 + −
Q244.The variance of the Binomial distribution (p + q)n is
Correct answer: npq
Q245.The following data gives the number of years of service of 15 employees in a manufacturing company: 5, 9, 7, 6, 24, 11, 4, 13, 10, 9, 20, 8, 19, 17, 25 The range of above data is
Correct answer: 21
Q246.Which of the following is the best measure of dispersion?
Correct answer: Standard deviation
Q247.The mean of binomial distribution is:
Correct answer: np
Q248.The empirical relation between mean, median and mode is:
Correct answer: Mean – Mode = 3 (Mean – Median)
Q249.The difference between upper and lower limit of a class-interval is called:
Correct answer: Class – size
Q250.If 4x – 5y + 33 = 0 and 20x – 9y = 107 are the two regression lines, then the correlation coefficient between x and y is:
Correct answer: 3/5
Q251.If mean of the Poisson distribution is m, then standard deviation is equal to:
Correct answer: m
EnglishUKPSC Lecturer (Mains) 2020
Q252.If P(X= 0) = P (x= 1) = a is a Poisson Distribution, then the value of a is:
Correct answer: 1/e
EnglishUKPSC Lecturer (Mains) 2020
Q253.In a distribution, the mode and mean are 7 and 4 respectively, then approximate value of median is:
Correct answer: 5
EnglishUKPSC Lecturer (Mains) 2020
Q254.For the frequency table if the mean is 3, then the value of f4 will be:
Correct answer: 14
EnglishUKPSC Lecturer (Mains) 2020
Q255.In a competitive examination of 3000 candidates, the marks obtained out of 100 were found to be normally distributed with mean 45 and standard deviation 14. It is given that the area under the normal curve for the values of standard variation as 1.07 and 1.79 are 0.3577 and 0.4633, respectively. Then the number of candidates whose marks are between 30 and 70 is:
Correct answer: 2463
EnglishUKPSC Lecturer (Mains) 2020
Q256.The mean and variance of a binomial distribution are 1 and 2/3, respectively. the probability of getting at least one success is:
Correct answer: 19/27
EnglishUKPSC Lecturer (Mains) 2020
Q257.The standard deviation of the set of numbers 3, 4, 9, 11, 13, 6, 8 and 10 is:
Correct answer: 10.5
EnglishUKPSC Lecturer (Mains) 2020
Q258.The variance of first n natural numbers is:
Correct answer: () 2 n 1 12 −
Q259.The formula to calculate the coefficient of quartile deviation is:
Correct answer: 3 1 Q Q − +
Q260.For a symmetrical frequency distribution we have:
Correct answer: mean = mode = median