Continuous Distributions True/False
Continuous Distributions True/False & Multiple Choice
Ch06: Chapter 6, Continuous Distributions
True/False
1. A uniform continuous distribution is also referred to as a rectangular distribution.
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Easy
2. The height of the rectangle depicting a uniform distribution is the probability of each outcome and it same for all of the possible outcomes
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Medium
3. The area of the rectangle depicting a uniform distribution is always equal to one.
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Medium
4. Many human characteristics such as height and weight and many measurements such as variables such as household insurance and cost per square foot of rental space are normally distributed.
Ans:
Response: See section 6.2, Normal Distribution
Difficulty: Medium
5. Normal distribution is a skewed distribution with its tails extending to infinity on either side of the mean.
Ans:
Response: See section 6.2, Normal Distribution
Difficulty: Medium
6. Since a normal distribution curve extends from minus infinity to plus infinity, the area under the curve is infinity.
Ans:
Response: See section 6.2, Normal Distribution
Difficulty: Medium
7. A z-score is the number of standard deviations that a value of a random variable is above or below the mean.
Ans:
Response: See section 6.2, Normal Distribution
Difficulty: Medium
8. A normal distribution with a mean of zero and a standard deviation of 1 is called a null distribution.
Ans:
Response: See section 6.2, Normal Distribution
Difficulty: Medium
9. A standard normal distribution has a mean of zero and a standard deviation of one.
Ans:
Response: See section 6.2, Normal Distribution
Difficulty: Easy
10. The standard normal distribution is also called a finite distribution because its mean is zero and standard deviation one, always.
Ans:
Response: See section 6.2, Normal Distribution
Difficulty: Medium
11. In a standard normal distribution, if the area under curve to the right of a z-value is 0.10, then the area to the left of the same z-value is -0.10.
Ans:
Response: See section 6.2, Normal Distribution
Difficulty: Medium
12. Binomial distributions in which the sample sizes are large may be approximated by a Poisson distribution.
Ans:
Response: See section 6.3, Using the Normal Curve to Approximate Binomial Distribution Problems
Difficulty: Medium
13. A correction for continuity must be made when approximating the binomial distribution problems using a normal distribution.
Ans:
Response: See section 6.3, Using the Normal Curve to Approximate Binomial Distribution Problems
Difficulty: Medium
14. If arrivals at a bank followed a Poisson distribution, then the time between arrivals would follow a binomial distribution.
Ans:
Response: See section 6.4, Exponential Distribution
Difficulty: Hard
15. For an exponential distribution, the mean is always equal to its variance.
Ans:
Response: See section 6.4, Exponential Distribution
Difficulty: Hard
Multiple Choice
16. If x is uniformly distributed over the interval 8 to 12, inclusively (8 x 12), then the height of this distribution, f(x), is __________________.
a) 1/8
b) 1/4
c) 1/12
d) 1/20
e) 1/24
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Easy
17. If x is uniformly distributed over the interval 8 to 12, inclusively (8 x 12), then the mean of this distribution is __________________.
a) 10
b) 20
c) 5
d) 0
e) unknown
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Medium
18. If x is uniformly distributed over the interval 8 to 12, inclusively (8 x 12), then the standard deviation of this distribution is __________________.
a) 4.00
b) 1.33
c) 1.15
d) 2.00
e) 1.00
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Medium