3.4 Quiz 5: continuous random variables

Given that X ~ U(3, 15), find the probability that X is between 12 and 14.

• A

  2/12

• B

  12/14

• C

  2/15

• D

  2

Given that X ~ U(3, 15), find the probability that X is greater than 5 given that X is less than 10.

• A

  5/12

• B

  5/10

• C

  5/7

• D

  10/7

Given that X ~ U(3, 15), find the 70th percentile.

• A

  0.70

• B

  5.4

• C

  11.4

• D

  10.5

Given that X ~ U(3, 15), f(x) =

• A

  1/15

• B

  1/18

• C

  1/12

• D

  1

Given that X ~ U(3, 15), what percent of the area is between 1 and 4?

• A

  8 1/3

• B

  25

• C

  20

• D

  unable to determine

The probability that "X is at most 3" is interpreted as:

• A

  P(X<3) + P(X=3)

• B

  P(X<3)

• C

  P(X>3)

• D

  P(X>3) + P(X = 3)

Given that X ~ Exp(0.4), find the decay rate.

• A

  0.4

• B

  1/0.4

• C

  4

• D

  2.5

Given that X ~ Exp(0.4), find the median.

• A

  2.5

• B

  1.25

• C

  1.73

• D

  1/4

X follows an Exponential Distribution with an average of 12. Which of the following is true?

• A

  The median is 12.

• B

  The decay rate is 12.

• C

  The mode is 12.

• D

  The standard deviation is 12.

X follows a Uniform Distribution from 2 to 5. What can be said of the median?

• A

  It is the same as the standard deviation.

• B

  Both (1) and (2) are correct.

• C

  It is the same as the average.

• D

  It is less than the average.