Question 1

If $A$ and $B$ are mutually exclusive, $P(A\cap B)=?$

Accepted Answer

0

Answer

$P(A)	imes P(B)$

Answer

1

Answer

$P(A)+P(B)$

Question 2

If $A$ and $B$ are independent events, $P(A\cap B)=?$

Accepted Answer

$P(A)	imes P(B)$

Answer

0

Answer

1

Answer

$P(A)+P(B)$

Question 3

How are $P(A)$, $P(B)$, $P(A\cap B)$ and $P(A\cup B)$ linked?

Accepted Answer

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Answer

$P(A\cap B)=P(A)+P(B)+P(A\cup B)$

Answer

$P(A\cup B)=P(A)+P(B)$

Answer

$P(A\cup B)=P(A)+P(B)+P(A\cap B)$

Question 4

$P(A|B)=?$

Accepted Answer

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

Answer

$P(A|B)=\frac{P(A\cup B)}{P(B)}$

Answer

$P(A|B)=\frac{P(A\cap B)}{P(B')}$

Answer

$P(A|B)=\frac{P(A\cap B)}{P(A)}$

Question 5

If events A and B are independent, then $P(A|B)=?$

Accepted Answer

$P(A)$

Answer

0

Answer

$P(B)$

Answer

1

Question 6

$P(A')=?$

Accepted Answer

$1-P(A)$

Answer

0

Answer

$P(B)$

Answer

$1+P(A)$

Question 7

For events A and B that are NOT independent, $P(A\cap B)=?$

Accepted Answer

$P(A)	imes P(B|A)$

Answer

$P(A)	imes P(B)$

Answer

$P(A)	imes P(A|B)$

Answer

0

Question 8

For any discrete random variable $X$, $	ext{E}(aX + b) = ?$

Accepted Answer

$ a	ext{E}(X) + b$

Answer

$ a	ext{E}(X) -b$

Answer

$ a^2	ext{E}(X) $

Answer

$ a^2	ext{E}(X) + b$

Question 9

For any discrete random variable $X$, $	ext{Var}(aX + b) = ?$

Accepted Answer

$a^2 	ext{Var}(X)$

Answer

$a^2 	ext{Var}(X)+b$

Answer

$a 	ext{Var}(X)-b$

Answer

$a 	ext{Var}(X)+b$

Question 10

$X \sim B(n,p)$. How do you find $	ext{E}(X)$

Accepted Answer

$np$

Answer

$\lambda$

Answer

$nq$

Answer

$npq$

Question 11

$X \sim B(n,p)$. How do you find $	ext{Var}(X)$

Accepted Answer

$np(1-p)$

Answer

$np(1+p)$

Answer

$\lambda$

Answer

$np$

Question 12

$X \sim Po(\lambda)$. What is $	ext{E}(X)$?

Accepted Answer

$\lambda$

Answer

$np(1+p)$

Answer

$np$

Answer

$np(1-p)$

Question 13

$X \sim Po(\lambda)$. What is $	ext{Var}(X)$?

Accepted Answer

$\lambda$

Answer

$np(1-p)$

Answer

$np$

Answer

$np(1+p)$

Question 14

How would you use the Binomial or Poisson tables to find $P(X=n)$?

Accepted Answer

$P(X\leq n)-P(X\leq n-1)$

Answer

$1-P(X\geq n)$

Answer

$1-P(X\leq n)$

Answer

$P(X\leq n+1)-P(X\leq n)$

Question 15

How would you use the Binomial or Poisson tables to find $P(X\geq n)$?

Accepted Answer

$1-P(X\leq n-1)$

Answer

$1+P(X\leq n-1)$

Answer

$P(X\leq n)-P(X\leq n-1)$

Answer

$P(X\leq n+1)-P(X\leq n)$

Question 16

For a continuous probability distribution, how are $f(x)$ and $F(x)$ related?

Accepted Answer

$f(x)=F'(x)$

Answer

$f(x)=\int F(x)\, 	ext{d}x$

Answer

$f(x)=F''(x)$

Answer

$f(x)=\int_a^b F(x)\, 	ext{d}x$

Question 17

For a binomial distribution $X\sim B(n,p)$, what is the formula for $P(X=x)$?

Accepted Answer

$\binom{n}{x}p^x(1-p)^{n-x}$

Answer

$\binom{n}{x}p^{x}(1-p)^{x}$

Answer

$\binom{n}{x}p^{n-x}(1-p)^{n}$

Answer

$\binom{n}{x}p^{n}(1-p)^{n}$

Question 18

For a Poisson distribution $X\sim Po(\lambda)$, what is the formula for $P(X=x)$?

Accepted Answer

$e^{-\lambda}\frac{\lambda^x}{x!}$

Answer

$e^{\lambda}\frac{\lambda^x}{x!}$

Answer

$e^{\lambda}\frac{x!}{\lambda^x}$

Answer

$e^{-\lambda}\frac{x!}{\lambda^x}$

Question 19

How is variance related to standard deviation?

Accepted Answer

$	ext{standard deviation}=\sqrt{	ext{Variance}}$

Answer

$	ext{standard deviation}={	ext{Variance}}^2$

Answer

$	ext{standard deviation}=\frac{\sqrt{	ext{Variance}}}{n}$

Answer

$	ext{standard deviation}=\pm{	ext{Variance}}$

Question 20

Express this region using set notation.

Accepted Answer

$A\cap B$

Answer

$A\cap B'$

Answer

$A\cup B$

Answer

$(A\cup B)'$

Question 21

Express this region using set notation.

Accepted Answer

$A\cap B'$

Answer

$A'\cap B$

Answer

$A\cup B$

Answer

$A'\cap B'$

Question 22

Express this region using set notation.

Accepted Answer

$A'\cap B$

Answer

$A\cap B'$

Answer

$A'\cup B$

Answer

$A'\cap B'$

Question 23

Express this region using set notation.

Accepted Answer

$A'\cap B'$

Answer

$A'\cup B'$

Answer

$(A\cap B)'$

Answer

$A\cup B$

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