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Statistics and Probability Distributions
Statistics and Probability Distributions
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1
Which distribution is
not
normally distributed?
The count of each n-gram in an English novel
The height of university teachers
The daily amount of milk produced by a cow
2
If the coin lands on heads, you gain CHF 2, if it lands on tails, nothing happens. What is the expected profit?
CHF 0
CHF 2
CHF 1
3
Why is there a corrected formula for calculating
sample variance
?
To avoid underestimating the population variance.
To ensure the sample variance is always positive.
To calculate the standard deviation instead of the variance.
4
Which type of function looks like a histogram?
Standard Normal Distribution
Probability Density Function
Probability Mass Function
5
Consider a gamble: If the coin lands on heads, you
lose
CHF 1, otherwise you
gain
CHF 1. What is the expected profit?
CHF 1
CHF -0.50
CHF 0
CHF 0.50
6
Variance
is described as a measure of a random variable's ...
Expected value
Central tendency
Spread
Mode
7
What are the parameters of the
normal distribution?
μ and σ^2, representing the mean and variance
λ, representing the growth rate
k and θ, representing shape and scale
8
The
binomial distribution
is characterized by what parameters?
The mean (μ) and variance (σ^2)
The total number of outcomes (d) and the expected value (E)
The number of trials (n) and the probability of success (p)
9
How is the
standard
normal distribution
defined?
μ=1 and σ^2=1
μ=0 and σ^2=0
μ=0 and σ^2=1
μ=1 and σ^2=0
10
How is the
expected value
of a discrete random variable calculated?
The value that appears most frequently.
The square root of the variance.
The arithmetic mean of all possible values.
The sum of the values weighted by their probability.
