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1) State two of the three axioms of probability

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1) State two of the three axioms of probability.

2) If P(A|B) = P(A) and P(B|A) = P(B), what is true of events A and B?

3) What is the mathematical relationship between correlation and

covariance?

4) If a sample is positively skewed, what is the relationship between the

mean, median and mode of the sample?

5) What is the relationship between an event and a sample space?

6) What must be true for two events to be mutually exclusive?

7) Suppose that A and B are independent events; what is the probability of

(A ? B)?

8) Suppose that a card is chosen from a deck; a second card is chosen

without replacing the first card. What is the probability that both cards are

red?

 

1) A population consists of the following observations:

X₁ = -3 X₄ = 5

X₂ = 1 X₅ = 1

X₃ = 2 X₆ = 6

 

Compute the following measures:

a) mean

b) median

c) mode

d) range

e) interquartile range

f) variance

g) standard deviation

h) coefficient of variation