SSC CGL Tier-2 10th August 2022 Statistics
For the following questions answer them individually
If Z follows standard normal distribution with mean 0 and variance 1, then $$Z^{2}$$ follows:
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 combined data set of size 15 is:
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 is selected with mean weight of 90. The test statistic equals to
If moment generating function of continuous random variable X is $$\frac{\lambda}{\lambda - t} ; t< \lambda$$, then E($$X^{3}$$) equals to:
The arithmetic mean of the following frequency distribution of number of accidents X on week working days is:
If $$P(A) = 0.4; P(B \mid A) = 0.05; P(C \mid A) = 0.04; P(B \mid A \cap C) = 0.09; P(C \mid A \cap B) = 0.07$$, then the probability of occurrence of all events equals to: :
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 $$x_{i} \mid f_{i}$$ are 3,10,16, respectively, then Kelly's coefficient of skewness is:
