Question

Describe or give an example that uses discrete probabilities or distributions. Provide an example that follows either the binomial probabilities or any discrete probability distribution, and explain why that example follows that distribution. In your response, make up numbers for the example provided by that other person, and ask a related probability question. Then show the work (or describe the technology steps) and solve that probability example.

Answer 1

Solution:

In binomial distribution there are more than 2 trials held on a single experiment which has only two alternatives and for all trials they have same probablity for any event happening.

Consider an experiment where we toss coins 32 times. The coin is biased and hence the probability of head occuring is 0.60. Now consider a random variable X the number of times we get red in these 32 trials.

Now clearly this random variable X has a binomial distribution. There are only two outcomes of a coin toss (head or tail). The same experiment is carried out 32 times. Each time the probability of head occuring is 0.60.

The probability distribution function of X will be given by,