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MTH202 QUIZ 3 updated Searching file 2021

1. If A and B are disjoint sets then P(A B)=…………
 P(A) 
2. If B is a subset of A then P(A/B)= 1 
 True 
3. P(AC/B)=1 - P(A/B) True 
4. If A and B be events with P(A)=1/3. P(B)=1/4 and P(A intersection b)=1/6, then P(A U B) = _____________. 
 5/12 
5. P(A/B) = P(A n b)/P(B), where _______. 
 P(B) > 0 
6. Total degree of a graph G is ______. 
 2(Number of edges of G) 
7. Let E(X2 )=6, u2=2, then standard deviation is ______.
 2 
8. If A and B be events with P(A)=1/3. P(B)=1/4 and P(A intersection b)=1/6, then P(A/B) = _________ 2/3
9. A closed walk is the walk that starts and ends at the same vertax 

 True 

10. Total degree of G is an odd number 
 False 
11. If X and Y are random variable, then E(aX) is equal to 
 aE(X) 
12. A simple graph is a graph that does not have any loop. 
 True 
13. Conditional probability of A given B is defined as ______. 
 P(A n B) / P(B) 
14. If X and Y are independent random variables and a and b are constant, then Var(aX+bY) is equal to
  A^2 Var(X) + b^2Var(Y) 
15. A random variable is also called a 
 Chance variable 
16. If the random variable X denotes the number of heads when three distict coins are tossed, then X assumes the value 
 0,1,2,3 
17. If X and Y are random variables, then E (X-Y) is equal to
 E(X) - E(Y) 
18. A random variable is also called a Stochastic variable 
 True 
19. Which of the followings is the probability of getting a 6 when a dice is tossed? 
 1/6 
20. A random variable is also called a 
 Chance variable or stochastic varaible
 

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