Question

1- For a sample of size 4, if 12 3 xx xx xx − =10, 8, and 6, − = − − = − then the sample variance is equal to __________.

2- The __________ of an experiment is the set of all possible outcomes of that experiment.

3- Let A = {1,2,3,4} and B = {3,4,5,6,}, then A B ∪ ={__________} Section 2.2 10. If A and B are mutually exclusive events, then the probability of both events occurring simultaneously is equal to __________

4- If P(A) = .50, P(B) = .70, and P ( ) A B ∩ = .40, then P ( ) A B ∪ =__________.

5. If a six-sided die is tossed three times in succession, then there are __________ possible 3-tuples.

6. Any ordered sequence of k objects taken from a set of n distinct objects is called a __________ of size k of the objects.

7. If P(A) = .35, P(B) = .50 and P ( ) A B ∩ = .20, then P(A/B) is __________.

8. If P (A∩B) = .123 and P (A /B ) = .60, then P (B ) is __________.

9. If P(A) =.60, P(B) = .40, and events A and B are independent, then P(A/B) is __________.

10. There are two fundamentally different types of random variables; __________ and continuous random variables. Section 3.2

11. The probability mass function p(x) of a discrete random variable X is p(0) = .15, p(1) = .30, p(2) = .20, p(3) = .10, and p(4) = .25, then the value of the cumulative distribution function F(x) at X = 2 is __________.

12 . If the expected value of a discrete random variable X is E(X) = 5, then E(2X + 3) is __________.

13. Let X be a discrete random variable with E(X 2 ) = 19.75 and V(X) = 16.3275, then E(X) = __________.

Answer 1