Solution Week 38 (6/2/03) Sum over 1 (a) First Solution: We will use
... Therefore, since it takes (on average) e numbers for the sum to exceed 1, the average value of the sum will be e/2. This reasoning probably strikes you as being either completely obvious or completely mysterious. In the case of the latter, imagine playing a large number of games in succession, writi ...
... Therefore, since it takes (on average) e numbers for the sum to exceed 1, the average value of the sum will be e/2. This reasoning probably strikes you as being either completely obvious or completely mysterious. In the case of the latter, imagine playing a large number of games in succession, writi ...
Statistics Introduction to Probability Unit Plan
... before picking the second one? Key Idea: Events in sequence with replacement are independent of each other. Events in sequence without replacement are dependent. Ex: I flip a fair coin ten times in a row. What is the probability that it came up heads every time? ...
... before picking the second one? Key Idea: Events in sequence with replacement are independent of each other. Events in sequence without replacement are dependent. Ex: I flip a fair coin ten times in a row. What is the probability that it came up heads every time? ...
Probabilities in Science
... as though the successful prediction really should count in favour of the theory. But in fact, many different “specific” events would fit with the actual prediction made—the vagueness of the prediction makes it pretty likely that some event fitting its requirements will happen regardless of whether t ...
... as though the successful prediction really should count in favour of the theory. But in fact, many different “specific” events would fit with the actual prediction made—the vagueness of the prediction makes it pretty likely that some event fitting its requirements will happen regardless of whether t ...
Chapter 6: Probability: The Study of Randomness
... 32. Referring to the information above, the conditional probability of A given B A) is 0.3. B) is 0.2. C) is 1/6. D) is 0.1. E) cannot be determined from the information given. 33. Referring to the information above, we may conclude A) that events A and B are independent. D) that events A and B are ...
... 32. Referring to the information above, the conditional probability of A given B A) is 0.3. B) is 0.2. C) is 1/6. D) is 0.1. E) cannot be determined from the information given. 33. Referring to the information above, we may conclude A) that events A and B are independent. D) that events A and B are ...
REVIEW for EXAM
... Theoretical Probability QUESTION Noah has five cartons of orange juice, three cartons of apple juice, and two cartons of cranberry juice in his refrigerator. He takes out a carton at random and then another one without replacing the first. What is the theoretical probability that both cartons are of ...
... Theoretical Probability QUESTION Noah has five cartons of orange juice, three cartons of apple juice, and two cartons of cranberry juice in his refrigerator. He takes out a carton at random and then another one without replacing the first. What is the theoretical probability that both cartons are of ...
probability
... none of the four rolls come up 1. What are the chances of not getting a 1 in a specific roll? This can be calculated as 1 - 1/6 = 5/6. For the gambler to loose this has to happen the first and the second and the third and the fourth. The rolls are all independent, thus we use the multiplication rule ...
... none of the four rolls come up 1. What are the chances of not getting a 1 in a specific roll? This can be calculated as 1 - 1/6 = 5/6. For the gambler to loose this has to happen the first and the second and the third and the fourth. The rolls are all independent, thus we use the multiplication rule ...
