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STATISTICAL INFERENCE FALL-2021 QUIZ # 01 Find the probabilities of the following: Q.1. Suppose we have a sample space with five equally likely outcomes: 01, 02 03, 04, Os. Let A = {01, 03} B = {02, 04) C = {02 03, 05) (a) Find P(A), P(B), P(C). (b) Find P(A U B), P(B UC). (c) Find P(A), P(B), P(C). (d) Find P(A U BC), P(A UB). (e) Are A, B and C are Mutually Exclusive, Non Mutually Exclusive, Collectively Exhaustive? Q.2. A pair of fair dice is rolled once. What is the probability that: (a) First dot is 4 or 6 and second dot is 3 or 5. (b) Both dots are prime numbers. (c) Neither be the multiple of 5. (d) First is less than Second or second is less than first (e) First is at least 4 and second is at most 3 Q.3. Three fair coins are tossed together. What is the probability of getting: (a) All Heads (b) At least 2 Heads (c) At most 2 Heads (d) None Head (e) Head must be appeared Q.4. From a deck of 52 cards, four cards are drawn at random. What is the probability that: (a) All cards are from same suits. (b) All are of Ace. (c) All are of Face cards. (d) All are of Picture cards. (e) All are of the same colors Q.5. A box contains 6-Red, 5-Green, 4-Blues and 3-Black balls. Four balls are drawn at random. What is the probability that: From the desk of ASIF SUMEERPage 1 STATISTICAL INFERENCE FALL-2021 (a) All are of same colors. (b) All are of Red. (c) All are of not Black (d) All are of Green or Blue. (e) All are of different colors. Q.6. The probabilities that three men hits the target are 0.2, 0.25 and 0.3 respectively. What is the probability that: (a) Exactly one hit. (b) At least two misses. (c) All hit. (d) Majority hit the target. (e) At most two hit. Q.7. In a large cupboard of books consisting of 8-books of Mathematics, 10-books of Statistic books of Accounting and 5-books of Economics. Four books are chosen for study purpose. the probability that: (a) Only Statistics books will be chosen. (b) There will be 3-Accounting chosen for study. (c) Only Statistics and Economics Books will be chosen. (d) There is no Accounting is chosen. (e) All are of same subject. C