Normal
Triangular
Uniform
Binomial
Poisson
100
What is the shape of a normal distribution curve?
Bell-shaped
100
What are the three parameters of a triangular distribution?
minimum, maximum, and mode
100
In a uniform distribution, what does it mean for all outcomes?
all outcomes have equal probabilities
100
What are the two parameters of a binomial distribution?
the number of trials (n) and the probability of success (p)
100
What is the Poisson distribution used for?
modeling the number of events in a fixed interval of time or space
200
What percentage of data falls within one standard deviation of the mean in a normal distribution?
approximately 68%
200
What is the shape of a triangular distribution?
triangle
200
What is the formula for the mean of a uniform distribution?
(Min plus Max) / 2
200
A multiple choice test has 15Q, each has 5 choices. A student did it by random guessing. What is the mean question of his correct answer?
15 x 0.2 = 3
200
What is the parameter for a Poisson distribution?
the rate (λ) of occurrence
300
What are the two parameters that define a normal distribution?
mean (μ) and standard deviation (σ)
300
When is a triangular distribution used?
estimating a distribution with limited data
300
How does the uniform distribution appear on a graph?
Rectangle
300
What are the assumptions of a binomial distribution?
fixed number of trials, two possible outcomes, independent trials, and constant probability
300
A MacDonald gets an average of 3 visitors to the drive-through per min. What is the mean for a day?
A day has 1440 min. 1440 x 3= 4320 visitors
400
In a normal distribution, what is the relationship between the mean, median, and mode?
they are all equal
400
How do you calculate the mean of a triangular distribution?
Find the required area inside the triangle
400
What is the variance formula for a uniform distribution?
(max - min)^2 /12
This formula measures the spread or dispersion of the data within the uniform distribution.
400
How do you calculate the mean of a binomial distribution?
np
400
What is the mean of a Poisson distribution?
λ
500
How do you standardize a normal variable?
500
How does the triangular distribution differ from the normal distribution?
it is not symmetric and is defined by three points
Minimum, maximum and the mode
500
When would you use a uniform distribution in real-world scenarios? Give an example.
all outcomes are equally likely, such as rolling a fair die
500
When would you use a binomial distribution?
scenarios with a fixed number of trials, only two outcomes, fixed probability of success, independent event, such as flipping a coin
500
When would you use a Poisson distribution?
events that occur randomly, rarely and independently, the mean is a rate or happens in a period of time, such as the number of emails received in an hour