Download - Binomial Distribution Assignment
![Page 1: Binomial Distribution Assignment](https://reader030.vdocument.in/reader030/viewer/2022020117/5695d5351a28ab9b02a47506/html5/thumbnails/1.jpg)
BINOMIAL DISTRIBUTIO
N
Probability Distribution of a Discrete Random Variable
![Page 2: Binomial Distribution Assignment](https://reader030.vdocument.in/reader030/viewer/2022020117/5695d5351a28ab9b02a47506/html5/thumbnails/2.jpg)
BINOMIAL DISTRIBUTION Binomial distribution is related to Bernoulli trial – an experiment which has only two possible outcomes, success or failure.
P(X=r) = nCr pr qn-r
where,p is the probability of successq is the probability of failure (q=1-p)r is the number of success
![Page 3: Binomial Distribution Assignment](https://reader030.vdocument.in/reader030/viewer/2022020117/5695d5351a28ab9b02a47506/html5/thumbnails/3.jpg)
TO DETERMINE WHETHER A VARIABLE HAS A BINOMIAL DISTRIBUTION: The number of trials, n must be fixed Each trial can result in only one of two outcome – success or failure The probability of a success in a single trial is a constant Each trial is independent
TABLE OF BINOMIAL DISTRIBUTION Table 1 in Statistial table booklet
![Page 4: Binomial Distribution Assignment](https://reader030.vdocument.in/reader030/viewer/2022020117/5695d5351a28ab9b02a47506/html5/thumbnails/4.jpg)
MEAN AND VARIANCE OF A BINOMIAL DISTRIBUTION
X ~ B (n,p)
Mean: E(x) = np Variance: Var(x) = npq Standard deviation: