MTH202 Quiz 3 Updated 2021

MTH202 QUIZ 3 updated · Searching file 2021 · 98% correct · 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. 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 ______.
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) = _________

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

Q19. Which of the followings is the probability of getting a 6 when a dice is tossed?

20. A random variable is also called a · Chance variable or stochastic varaible · 21. If E(5)=5, then find arithmetic mean will be

22. Conditional probability of B given A is defined as ______.

P(A n B) / P(A)

23. If A is a subset of B then P(A I B) = P(A)/P(B) True

24. A graph is regular if every vertex has the _________ degree Same

25. If the standard deviation of the data set is 4 then the value of the variance is

Q26. What is the probability of the number of one head when two fair coins are tossed?

27. A simple graph is a graph that does not have any loop True

28. If A and B are disjoint sets then P(A/B)= __________? P(A)

29. A complete graph on n vertices is a simple graph in which every is connected to every other vertex.