Fill in the Blank. {1 point each] 1. 2. 3. A discrete random variable that counts the number of successes that occurs in a given interval is called The formula for fmding the standard deviation of a binomial distribution is is a special pmbability function for problems with a xed number of independent trials, where each trial has only two possible outcomes and one of these outcomes is counted. In a probability distribution all the probabilities are between and In a discrete probability distribution, the sum of the possible probabilities is always equal to . The probability that an event will never occur is equal is equal to The states that the probability that an event will not occur is one minus the probability that the event occurs. Under what conditions will the probability of a success change om trial to trial in a binomial experunent? Pepsi is running a sales promotion in which 12% of all bottles have a \"FREE\" logo under the cap. 1What is the pmbability that you find two free ones in a {Er-pack? III. The mean number of work-related accidents per month in manufacturing plant is 1.34. What is the probability there will be no work-related accidents in a particular month? {Assume Poisson distribution] Decide whether each statement is true or false. {1 points each} 11. In a Poisson distribution the mean number of successes in a given interval is constant. {TIP} 12. In Hypergeornetric distribution the trials are independent. {TIP} 13. Conditional probability is used when the two events are dependent. {TIP} 14. In permutations order is not important. {TIP} 15. The essential difference between a discrete random variable and a discrete probability distribution is that a discrete probability distribution includes the probability. {TIP}