Continues probability distribution Flashcards
What is the probability of getting any exact value zero in a continuous random variable
Because the alternatives are continuous, which means that because anything can happen getting something particular is extremely unlikely, approaching zero for infinity
What are the properties of the probability density function?
f(x) is larger than zero for all possible values of x and X, the area under the function over all values equals one
Does the value of the probability density function corresponds to the likelihood of something occurring at any point?
No, not the height but the area under the graph a.k.a. the integral
What does continuous uniform distribution mean when it comes to probability
That, in an interval there is in uniform likelihood of an event occurring so the probability is simply the interval with the times the height of the probability density function
What is meant by the normal distribution being asymptotic
That it approaches the horizontal axis for infinity, but never reaches it
What is the standard normal distribution?
A normal gaussian distribution with a mean of zero and a standard deviation of one
What does it mean to standardize data?
To convert a value to its Z score standard deviations from the mean
What is the likelihood that the standard normal variable Z is larger than zero
About 0.5
What is a standard deviation of the standard normal variable
1
What does standard transformation entail?
Transforming a normal distribution to standard normal distribution by subtracting by the mean, and dividing by the current standard distribution
What does a inverse transformation entail?
Converting the standard normal variable Z into the distributed, random variable X
What is exponential distribution?
What it sounds like the probability of some thing not occurring gets progressively smaller
Is the logo normal distribution positively or negatively skewed?
Is positively skewed, but quite adaptive useful when the initial phase is critical
