6.2 Review questions

Explain which of the following are false and which are true.

• A

  $f(x)=\frac{1}{\text{10}}$ ,

• B

  There is no mode.

• C

  The median is less than the mean.

• D

Calculate:

• A

  Mean

• B

  Median

• C

  65th percentile.

Which of the following is true for the above box plot?

• A

  25% of the data are at most 5.

• B

  There is about the same amount of data from 4–5 as there is from 5–7.

• C

  There are no data values of 3.

• D

  50% of the data are 4.

If $P(G\mid H)=P(G)$ , then which of the following is correct?

• A

  $G$ and $H$ are mutually exclusive events.

• B

  $P(G)=P(H)$

• C

  Knowing that $H$ has occurred will affect the chance that $G$ will happen.

• D

  $G$ and $H$ are independent events.

If $P(J)=0\text{.}3$ , $P(K)=0\text{.}6$ , and $J$ and $K$ are independent events, then explain which are correct and which are incorrect.

• A

  $P(J$ and $K)=0$

• B

  $P(J$ or $K)=0\text{.}9$

• C

  $P(J$ or $K)=0\text{.}\text{72}$

• D

On average, 5 students from each high school class get full scholarships to 4-year colleges. Assume that most high school classes have about 500 students.

$X$ = the number of students from a high school class that get full scholarships to 4-year school. Which of the following is the distribution of $X$ ?

• A

  P(5)

• B

  B(500,5)

• C

  Exp(1/5)

• D

  N(5, (0.01)(0.99)/500)