SSC CGL Tier-2 14th September 2018 Statistics

For a distribution, the mean is 10, variance is 16, $$\gamma_1$$ is +1 and $$\beta_2$$ is 4. The distribution is:

The problem of statistics is given in two sections of same standard. The odds against for section X to solve the problem are 4 : 3 and odds in favour to section Y for solving the same problem are 7 : 8. The probability that neither section solves the problem of statistics. if both sections try independent of each other, is:

If the marks obtained by 500 candidates in statistics paper is given below, then the lower quartile mark is:

$$\mu'_{(r)}$$ and $$\mu'_r$$ represent the factorial moment of order r about the origin and $$r^{th}$$ moment about the origin of the distribution $$x_i \mid f_i,i = 1,2,...n$$. The value of $$\mu'_2$$ equals to:

For making frequency distribution, the number of classes used depends upon:

If the independent random variables X,Y are Binomially distributed with $$n = 3, p = \frac{1}{3}$$ and $$n = 5, p = \frac{1}{3}$$ respectively, then the probability of $$(X + Y \geq 1)$$ is:

With which characteristic movement of a time series would you associate increasing demand of smaller automobiles ?

For the discrete distribution, the Pearson’s coefficient of skewness $$\beta_2$$ is always:

The square of normal variate with mean 0 and variance 1 follows:

Approximately, the coefficient of variation for the given data where Pearson’s second measure of skewness = 0.42, arithmetic mean = 86 and median = 80, is: