Probability Mass Function (PMF) Gives the probability that a discrete random variable takes on the value x. Cumulative Distribution Function (CDF) Gives the probability that a random …

Use for large (> 15) to approximate binomial distribution. n is fixed. The probabilities of success ( ) and failure ( ) are constant. Each trial is independent. Larry’s batting average is 0.260. If he’s …

Expectation and Moments of the Distribution. In the following sections, we are going to keep the same notations as before and the formulas will be explicitly detailed for the discrete (D) and …

Story: If the random variable X has a continuous unform distribution with the parameters a and b, then for every subinterval of [a, b], the probability that X belongs to that subinterval is …

Each distribution has formulas for its Mean, Standard Deviation and Probability. Need a Cheat Sheet for Probability Distributions? This guide covers the Uniform, Exponential, Normal, …

A continuous distribution’s probability function takes the form of a continuous curve, and its random variable takes on an uncountably infinite number of possible values. This means the …

So you’d check: 1 P(jX. (0:01)2 . P(X = k) = k! If you can’t calculate P(A) directly, try splitting it up and using the Law of Total Probability. If P(A) = and P(B) = then find the upper and lower …

1) The Binomial Distribution converges to the Poisson Distribution when n is large, p is small and np<10 . We have λ= np . 2) The Binomial Distribution converges to the Normal Distribution …

The probability distributions are probability mass functions (pmf) if the random vari- ables take discrete values, and they are probability density functions (pmf) if the random variables are …

Poisson Distribution notation Poisson( ) cdf e for Xk i=0 i i! pmf k k! e for k2N expectation variance mgf exp et 1 0 ind. sum Xn i=1 X i˘Poisson Xn i! story: the probability of a number of events …