Test Bank: Introduction to Probability and Statistics 
True/False Questions
1. The standard deviation of any normal random variable is always equal to one.
Answer: False Type: Concept Difficulty: Easy
2. For any normal random variable, the probability that the random variable will equal one is always zero.
Answer: True Type: Concept Difficulty: Medium
3. The graph of a standard normal random variable is always symmetric.
Answer: True Type: Concept Difficulty: Easy
4. The formula will convert any normal distribution into the “standard normal distribution.”
Answer: True Type: Concept Difficulty: Easy
5. Any normal random variable with standard deviation equal to one is a standard normal random variable.
Answer: False Type: Concept Difficulty: Medium
6. The notation X - N(4, 32) indicates a normal distribution with mean 2 and standard deviation 3.
Answer: False Type: Concept Difficulty: Easy
7. The total area under a normal curve is always equal to one.
Answer: True Type: Concept Difficulty: Easy
8. The notation Z - N(0, 1) indicates a standard normal distribution.
Answer: True Type: Concept Difficulty: Easy
9. The probability that a normal random variable will be within two standard deviations of its mean is approximately 0.68.
Answer: False Type: Concept Difficulty: Easy
10. The normal distribution is a continuous distribution.
Answer: True Type: Concept Difficulty: Easy
11. The normal distribution can be used to approximate the binomial distribution when both np and n(1 - p) are at least five.
Answer: True Type: Concept Difficulty: Easy
12. The normal distribution approximation to the binomial works best when n is large.
Answer: True Type: Concept Difficulty: Easy
13. The formula can be used with both a normal and binominal distribution.
Answer: True Type: Concept Difficulty: Easy
Multiple Choice Questions
14. Find
1. The standard deviation of any normal random variable is always equal to one.
Answer: False Type: Concept Difficulty: Easy
2. For any normal random variable, the probability that the random variable will equal one is always zero.
Answer: True Type: Concept Difficulty: Medium
3. The graph of a standard normal random variable is always symmetric.
Answer: True Type: Concept Difficulty: Easy
4. The formula will convert any normal distribution into the “standard normal distribution.”
Answer: True Type: Concept Difficulty: Easy
5. Any normal random variable with standard deviation equal to one is a standard normal random variable.
Answer: False Type: Concept Difficulty: Medium
6. The notation X - N(4, 32) indicates a normal distribution with mean 2 and standard deviation 3.
Answer: False Type: Concept Difficulty: Easy
7. The total area under a normal curve is always equal to one.
Answer: True Type: Concept Difficulty: Easy
8. The notation Z - N(0, 1) indicates a standard normal distribution.
Answer: True Type: Concept Difficulty: Easy
9. The probability that a normal random variable will be within two standard deviations of its mean is approximately 0.68.
Answer: False Type: Concept Difficulty: Easy
10. The normal distribution is a continuous distribution.
Answer: True Type: Concept Difficulty: Easy
11. The normal distribution can be used to approximate the binomial distribution when both np and n(1 - p) are at least five.
Answer: True Type: Concept Difficulty: Easy
12. The normal distribution approximation to the binomial works best when n is large.
Answer: True Type: Concept Difficulty: Easy
13. The formula can be used with both a normal and binominal distribution.
Answer: True Type: Concept Difficulty: Easy
Multiple Choice Questions
14. Find