Enter a value for p and trials. P X nCx px1-pn-x where p is the probability of success In the above equation n C x is used which is nothing but a combination formula. To generate a binomial probability distribution we simply use the binomial probability density function command without specifying an xvalue.
Binompdf n p x returns the probability associated with the binomial pdf.
To calculate _____ binomial probabilities the binomial formula is used for each value of x and the results are added. Notice these probabilities all sum to 1 because every possible value of X is listed and accounted for. Using the formula for p x you obtain the probabilities for x 0 1 2 and 3 red lights. So make use of this online binomial CDF calculator to find the cumulative binomial distribution function.