we have provided the number of trials and success probability for Bernoulli trials. Let X denote the total number of successes. Determine the required probabilities by using 

a. The binomial probability formula, Formula 5.4. Round your probability answers to three places.

b. Table VII in Appendix A. Compare your answer here to that in part (a).

n = 4, p = 1/4, P(X = 2)

Formula 5.4

Let X denote the total number of successes in n Bernoulli trials with success probability p. Then the probability distribution of the random variable X is given by

The random variable X is called a binomial random variable and is said to have a binomial distribution with parameters n and p.

Table VII in Appendix A

Transcribed Image Text:

(1) P²1 - P(X = x) = = p*(1 - p)n-x, x = 0, 1, 2, ..., n.