Answers: Probability Theory Prerequisite Review
Integration Review
- $\frac{1}{2}$
- $1$
- $2\pi$
- 0
Evaluating Summations Review
- $\frac{9}{2}$
- $\frac{1}{162}$
- $xe^{x^2}$
- $10(1+x^2)^9$
Combinatorics Review
(a)
$324$ different orders(b)
$306$ different orders(c)
$108$ different orders
(a)
$4,845$(b)
$116,280$(c)
$1,980$
Set Operations Review
- $A\cup B$
- $A \cap B^C$, or $A \cup (A\cap B^C)$
- $(A \cap B^C) \cup (B \cap A^C)$, or $[(S \cap [A\cup B]^C) \cup (A \cap B)]^C$
- $[(A \cap B^C) \cup (B \cap A^C)]^C$, or $(S \cap [A\cup B]^C) \cup (A \cap B)$