Practice SSC CGL 2023 Tier 2 Paper 2 (Statistics) Question Paper – 27 Oct 2023 (with Solutions)

For any two events A and B, if P(A|B) = 0.6 and P(B|A) = 0.4, then what is the value of \(\frac{P(A)}{P(B)}\)?

The weighted aggregate price index with base year quantities taken as weights is known as:

If, for a group of 20 items, \(\sum x = 1452,\) \(\sum x^2 = 144280\) and mode = 63.7, then Pearsonian coefficient of skewness is equal to:

For a group of 50 male workers, the mean and the standard deviation of their daily wages are ₹63 and ₹9, respectively. For a group of 40 female workers, these values are ₹54 and ₹6, respectively. What is the standard deviation of the combined group of these 90 workers?

Let the joint probability density function of (X,Y) be

\(f(x,y)=\begin{cases}6xy^2 & \text{if } 0<x<1,\ 0<y<1\\ 0, & \text{otherwise}\end{cases}\)

Then P(1/2 < X < 3/4) is:

The limits of a multiple correlation coefficient \(R_{1.23}\) are:

If \(\alpha\) is the level of significance and if \((1 - \alpha)\) is increased, then the width of the confidence interval of mean:

The two regression lines \(y = c + mx\) and \(x = a + dy\) always pass through:

Suppose in a certain large group, the height is approximately normal distributed with a mean of 160 cm and the standard deviation is 10. For a sample of size 16, the sampling distribution of sample mean has standard error equal to:

Suppose a die is thrown four times and 5, 3, 5, 3 are obtained, respectively. Then the empirical probability of getting 5 is: