30. The average cholesterol content of a IUD-gram bar of a certain brand of butter is 215 mg with a standard deviation of 15 mg. If a sample of twenty-five IOU-gram bars of butter is selected, find the probability that the sample mean is less than 220 mg. Assume that the variable is normally distributed. 95.25% b. 96.34% c. 96.96% (I. 98.29% More on Sampling Distribution The Binomial Random Variable Choose the correct answer. Write it on your answer sheet. 31. f'ID'F-I Lu CLFIIIP-I 34. 35. 2. which of the following types of discrete random variable counts how often a particular event occurs in a fixed number of trials? binomial random variable continuous random variable Poisson random variable non-countable random variable Which of the following conditions does not have to be satised in order for a random variable to be considered a binomial random variable? Trials are dependent of one another. The probability of occurrence is the same in each trial. There are a xed number of trials or a fixed sample size. In ea ch trial, the event of interest either occurs or does not occur. . Out of 200 randomlyr sampled people, only 86 possess a specific characteristic. What is the sample proportion? 0.43 b. 0.57 c. 0.86 d. 2.00 What is the z-value of a sample proportion of 0.65 given that the population proportion is 0.63, with a standard deviation of 2.88 and a sample size of 34? Round off your answer to the nearest hundredth. 0.04 b. 0.11 c. 1.13 d. 1.22 A senator claims that 30% of voters is in favor of his agrarian reform bill. If 15D voters are randomly selected, what is the probability that 50 ofthem or less are in favor of the senator's bill? 67.77% b. 78.81% c. 83.34% d. 90.16%