Quiz 5
1. 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
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
3. Given that X ~ U(3, 15), find the 70th percentile.
a. 0.70
b. 5.4
c. 11.4
d. 10.5
4. Given that X ~ U(3, 15), f(x) =
a. 1/15
b. 1/18
c. 1/12
d. 1
5. 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
6. 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)
7. Given that X ~ Exp(0.4), find the decay rate.
a. 0.4
b. 1/0.4
c. 4
d. 2.5
8. Given that X ~ Exp(0.4), find the median.
a. 2.5
b. 1.25
c. 1.73
d. 1/4
9. 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.
10. 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.
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