Question
In a normally distributed population, number of
observation faling within the range Mean ± S.D. is approximately __________%Solution
In a normal distribution, approximately 68% of observations fall within one standard deviation of the mean, reflecting the central tendency of the data distribution.
If P(A) = 0.7, P(B) = 0.5 and P (B/A) = 0.3, find (i) P(A/B) (ii) P(A ∪ B)?
The vertices of triangle ABC are A(1, 4), B(5, 2) and C(7, 8). Find the coordinates of the centroid and the length of median from A.

Determine the distance between the points (–3, 4) and (5, –2).
- What is the reflection of the point (8, -5) in the line y = 2?
Find coordinates of the point dividing the line joining (–3,2) and (5,8) internally in ratio 3:1.
Find the Perpendicular distance between two lines
6x + 8y = 18, 12x + 16y =20
Which of the following is NOT a known factor to uniquely determine a plane?
If points A(–2, 3) and B(4, –3) are ends of a diameter, find equation of the circle.
A line passes through the point (4, 3) and is perpendicular to the line 3x + 4y = 12. Find the equation of the new line.