In throwing a six faced die, let A be the event that an even number occurs, B be the event that an odd number
occurs and C be the event that a number greater than 3 occurs. Which one of the following is correct ?
(a) A and C are mutually exclusive (b) A and B are mutually exclusive
(c) B and C are mutually exclusive (d) A, B and C are mutually exclusive
Consider a random experiment of throwing together a die and two coins. The associated sample space has
(a) 8 points (b) 12 points (c) 24 points (d) 36 points
The harmonic mean H of two numbers is 4 and the arithmetic mean A and geometric mean G satisfy the
equation 2A + G^2 = 27. The two numbers are
(a) 6, 3 (b) 9, 5 (c) 12, 7 (d) 3, 1
Consider the following statements:
1. Both variance and standard deviation are measures of variability in the populatin.
2. Standard deviation is the square of the variance.
(a) 1 only (b) 2 only (c) Both 1 and 2 (d) Neither 1 nor 2