Suppose you know the following probabilities. P(Event 1) = 0.5, P(Event 2) = 0.6, P(Event 1 or Event 2) = 0.7 Which of the following can you say about Event 1 and Event 2? You may choose more than one answer. Select one or more: 7 a. P(Event1 And Event 2) = 0.4 7 b. Event 1 and Event 2 are Independent 0. Event 1 and Event 2 are Mutually Exclusive d. P(Event 1 AND Event 2) is 0 e. P(Event1 And Event 2) = 0.3 Suppose you roll a single 6-sided die two times. Assume the two rolls are independent of each other and each of the 6 outcomes are equally likely on each of the two rolls. What would be the probability both rolls are more than 4? Write answer as a decimal written to 2 decimal places. Answer: The Brushtail Possum's head length is normally distributed with mean 92.6 mm (4in) and standard deviation 3.6 mm. Find the following relating to this distribution. For nding percentages associated with the normal distribution use the empirical rule. ~/ Choose... 94.6 -1.7 A) What would be the zscore of a head length of 92.6mm? 17 7.2 B) What value would have a zscore of 2? no C) What percentile is the value having a zscore of 2? 97.5 5 D) How many standard deviations below the mean is a head length of 85.4mm? 98 8 E) What percentile is a head length of 85.4mm? 68'4 2.1 F) Determine the zscore for a head length of 85 mm. Round to the nearest tenth. -2_1 g) In general if a value is more than 2 standard deviations from the mean it is considered unusual. Would a head 95 length of 85 be considered unusual? yes 2.5 h) In general if a value is more than 2 standard deviations from the mean it is considered unusual. Would a head 0 length of 99mm be considered unusual? 76 99.8 a left 0:57:44 2 134-1' The Brushtail Possum's head length is normally distributed with mean 92.6 mm (4in) and standard deviation 3.6 mm. Find the following relating to this distribution. For this question use httpszllwww.desmos.com/calculator/jdgiqvxwum Note: normaldist(92.6,3.6). Round all answers to the nearest hundredth. A) Find the zscore associated with a head length of 97mm. " Choose... B) What proportion of head lengths will be less than 97mm? 1:: C) What proportion of head lengths are greater than 97mm? 3:858 D) What proportion of head lengths will be between 85mm and 97mm? 0.89 E) How many standard deviations is the head length representing the 11th percentile away from mean? 3:31 F) Would it be considered unusual for a possum to have a head length of 85mm? 0'11 0.14 \fThe Brushtail Possum's head length is normally distributed with mean 92.6 mm (4in) and standard deviation 3.6 mm. What head length would give the 25th percentile for this distribution? Round to the nearest tenth