Assume that a procedure yields a binomial distribution with n=6 trials and a probability of success of pequals=0.05 Use a binomial probability table to find the probability that the number of successes x is exactly 2.

A Binomial experiment has 100 trials and a probability of success of 0.8.Determine the mean of this experiment.

has 0.25 probability of striking out a batter what is the probability that this picture strikes out 18 or more of the next 40 batters round to four decimal places

Suppose we have a bucket of 20 balls with 10 red and 10 green. We take 5 draws and after each draw, we remove the chosen ball from the bucket before our next draw (this is called drawing without replacement). Can we use the binomial distribution to model this scenario? Why or why not?

In a 24-hour call center, complaints arrive at a mean rate of 1 complaint every 3 hours. (a) Find the probability that there are at most 3 complaints in the past 10 hours. (b) A day is “doomed” if there are at least 6 complaints. Each day, an inspector counts the number of complaints at the end of the day and determines whether the day was doomed. Find the probability that the inspector has worked for 7 days when he records the 3rd doomed day. (c)  Find the probability that there are at least 2 complaints in the past 12 hours given that there are at most 5 complaints in the past 12 hours

How do you know when a hypothesis test is left-tailed, right-tailed or two-tailed? How is this related to the alternative hypothesis?