Question Answers

1. Which of the following can not be valid assignment of probabilities for outcomes of sample Space S = {ω1, ω2, ω3, ω4, ω5, ω6, ω7 } (e) 1/14 2/14 3/14 4/14 5/14 6/14 15/14 1. Which of the following can not be valid assignment of probabilities for outcomes of sample Space S = {ω1 [...]

1. Which of the following can not be valid assignment of probabilities for outcomes of sample Space S = {ω1, ω2, ω3, ω4, ω5, ω6, ω7 } (d) – 0.1 0.2 0.3 0.4 – 0.2 0.1 0.3 1. Which of the following can not be valid assignment of probabilities for outcomes of sample Space S [...]

1. Which of the following can not be valid assignment of probabilities for outcomes of sample Space S = {ω1, ω2, ω3, ω4, ω5, ω6, ω7 } (c) 0.1 0.2 0.3 0.4 0.5 0.6 0.7 1. Which of the following can not be valid assignment of probabilities for outcomes of sample Space S = {ω1 [...]

1. Which of the following can not be valid assignment of probabilities for outcomes of sample Space S = {ω1, ω2, ω3, ω4, ω5, ω6, ω7 } (b) 1/7 1/7 1/7 1/7 1/7 1/7 1/7 1. Which of the following can not be valid assignment of probabilities for outcomes of sample Space S = {ω1 [...]

1. Which of the following can not be valid assignment of probabilities for outcomes of sample Space S = {ω1, ω2, ω3, ω4, ω5, ω6, ω7 } (a) 0.1 0.01 0.05 0.03 0.01 0.2 0.6 1. Which of the following can not be valid assignment of probabilities for outcomes of sample Space S = {ω1 [...]

7. Refer to question 6 above, state true or false: (give reason for your answer) (i) A and B are mutually exclusive (ii) A and B are mutually exclusive and exhaustive (iii) A = B′ (iv) A and C are mutually exclusive (v) A and B′ are mutually exclusive. (vi) A′, B′, C are mutually [...]

6. Two dice are thrown. The events A, B and C are as follows: A: getting an even number on the first die. B: getting an odd number on the first die. C: getting the sum of the numbers on the dice ≤ 5. 6. Two dice are thrown. The events A B and C [...]

5. Three coins are tossed. Describe (i) Two events which are mutually exclusive. (ii) Three events which are mutually exclusive and exhaustive. (iii) Two events, which are not mutually exclusive. (iv) Two events which are mutually exclusive but not exhaustive. (v) Three events which are mutually exclusive but not exhaustive 5. Three coins are tossed. [...]

4. Three coins are tossed once. Let A denote the event ‘three heads show”, B denote the event “two heads and one tail show”, C denote the event” three tails show and D denote the event ‘a head shows on the first coin”. Which events are 4. Three coins are tossed once. Let A denote [...]

3. An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events: A: the sum is greater than 8, B: 2 occurs on either die C: the sum is at least 7 and a multiple of 3. Which pairs of these events are mutually exclusive? 3. An [...]