15 2 points In order to win a war, the general can opt to fight and win one large battle, or fight and win ALL of three small battles. The general believes the chance of winning the large battle to be 0.4. The general also believes the chance of winning any given small battle to be 0.7 and each outcome of any small battle is independent of the other small battles. Which option (1 large battle or 3 small battles) is best for the general? 1 Large Battle, since 0.4 > 0.343 3 Small Battles, since 0.7 > 0.4 3 Small Battles, since 0.4 > 0.343 O 1 Large Battle, since 0.7 > 0.4 16 2 points Which of the following statements is NOT a property of the normal probability distribution? O The area under the normal curve to the left of the mean is less than the area under the normal curve to the right of the mean. The mean, median, and mode are equal. OOO 99.72% of all possible observed values of the random variable x are within plus or minus three standard deviations of the population mean. All of the above answers are properties of the normal distribution. 17 2 points Let B = 'a plant has brinkies G = a plant has a grellynoot has brinkies | doesn't have brinkies | total has a grellynoot .56 .24 .8 doesn't have a grellynoot 08 12 total .64 36 Find P(G' n B). O .288 O .24 O O .08 O .128 18 2 points Let V = a person is eligible to vote and P (V ) = .7 T = a person is 12 years old and P (T) = .11 Events V and T are mutually exclusive (disjoint) when they refer to one person because. Being 12 years old does not affect the probability of being eligible to vote. Being 12 years old increases the probability of being eligible to vote. O The sum of the probabilities does not total to 1. Being 12 years old makes it impossible for a person to be eligible to vote