STAT 503 - Quiz 4 Questions with
complete solution 2025/2025
Normal distribution - correct answer ✔- Symmetrical distribution
- Works well for data that is subject to variation from a lot of different factors
-Values in the middle are most common while tail values are extreme and rare
-Numeric, continuous variables
-N ~ (mu, sigma)
Standard normal distribution - correct answer ✔A normal distribution with a mean of 0 and a standard
deviation of 1.
Binomial distribution - correct answer ✔- describes the number of "successes" that occur in a fixed
number of independent trials, each with two possible outcomes (proportions)
- better for population level questions than individual level questions
- X ~ Bin(n,p)
The binomial distribution applies if: - correct answer ✔1.The data consist of n identical trials
2.Each trial can have one of two possible, mutually exclusive outcomes
3.The trials are all independent of each other
4.Each of the n trials has the same probability of "success," p.
When can we use the binomial distribution for individual units? - correct answer ✔only if all units have
similar "p"
Examples of binomial variables - correct answer ✔The number of "heads" in 7 coin flips.
complete solution 2025/2025
Normal distribution - correct answer ✔- Symmetrical distribution
- Works well for data that is subject to variation from a lot of different factors
-Values in the middle are most common while tail values are extreme and rare
-Numeric, continuous variables
-N ~ (mu, sigma)
Standard normal distribution - correct answer ✔A normal distribution with a mean of 0 and a standard
deviation of 1.
Binomial distribution - correct answer ✔- describes the number of "successes" that occur in a fixed
number of independent trials, each with two possible outcomes (proportions)
- better for population level questions than individual level questions
- X ~ Bin(n,p)
The binomial distribution applies if: - correct answer ✔1.The data consist of n identical trials
2.Each trial can have one of two possible, mutually exclusive outcomes
3.The trials are all independent of each other
4.Each of the n trials has the same probability of "success," p.
When can we use the binomial distribution for individual units? - correct answer ✔only if all units have
similar "p"
Examples of binomial variables - correct answer ✔The number of "heads" in 7 coin flips.
