Multiple Choice Question Explain IF possible! I will leave thumbs up :) Two even

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Multiple Choice Question Explain IF possible! I will leave thumbs up :)

Two events, A and B, are occur, the probabality of the mutualy exclusive and each has a nonzero probability. If event A is known to occurrence of event B is a. One b. Any positive value c. Zero d. Any value between O to 1 3 Suppose thet the probability of event A is 0.2 and the probability of two events are independent. Then P(AJB) is: a. P(A) 02 b. PIAVP(B) 0.2/0.4-0.05 C P(A) x P(B) (O.2H0.4) 0.08 None of the above d. tun The mean of a data set is also known as the- a. Median b. Range c. Average d. Standard deviation The measure of location which is most likely to be influenced by extreme values in the data set is the a. Range b. Median c. Mode d. Mean 16 Two events, A and B, are complements. If event A is known to occur with probability 0.8, the probability of the o event B is occurrence of a. Zero b. 0.2 c 0.8 d. Any value between 0 to 1 Let C and D be two events with P(C)-0.25, P(D)-0.45, and P(C n D)-0.1. What is PIC' n Dj? a. 0.45 +0.25-0.10 0.60 b. 1-0.25-0.10-0.65 c. 0.45-0.10 0.35 d. 1-0.01 0.99

Explanation / Answer

12. d) Any value between 0 and 1

P(A) + P(B) = 1

So, B can take a value between 0 and 1

13. If A and B are independet, P(A) x P(B) = P(A and B)

p(A | B) = P(A and B) / P(B)

= P(A)x P(B)/P(B)

= P(A) = 0.2 (option a)

14. c) Average

15. a) Range (range is the difference between extreme values)

16. If A and B are complements, P(A) + P(B) =1

P(B) = 1 - 0.8

= 0.2 (option B)

17. c) 0.45 - 0.1 = 0.35

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