3.6. Theoretical and Experimental Coin Tosses http://www.ck12.org
- According to the following screen, what is the experimental probability of getting 3 heads?
Summary
This chapter covers discrete random variables and probability distributions. Discrete random variables represent the
number of distinct values that can be counted of an event.Discretemeans distinct values like a number of cards as
opposed to continuous distribution like amount of water. A probability distribution is a table, a graph, or a chart that
shows you all the possible values of a discrete random variable and the probabilities of each. Binomial distributions
are a particular case of gettingXsuccesses inntrials. Ifais the number of successes,pis the probability of the
event occurring, andqis the probability of the event not occurring, the binomial probability is:
P(X=a) =nCa×pa×q(n−a)Multinomial distributions are a further case where there are outcomes beyond success and failure. Ifnis the number
of trials,pis the probability for each possible outcome, andkis the number of possible outcomes, the multinomial
probability is:
P=
n!
n 1 !n 2 !n 3 !...nk!×(p 1 n^1 ×p 2 n^2 ×p 3 n^3 ...pknk)The chapter concludes with notes on using a graphing calculator when solving these problems.