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To put this in perspective, imagine two buckets, each filled with 100,000 red and white marbles. In one bucket, the ratio of red to white marbles is exactly 1:1, and in the other it is not 1:1. Imagine further that I hand you a sample of 300 marbles drawn randomly from one of the two buckets (I don't tell you which one), and that 133 of the marbles are red and 167 are white. How confident are you that the sample I handed you did not come from the bucket in which the true ratio of red to white marbles is truly 1:1? Would you wager \$10,000 on your ability to make the correct decision?

          To put this in perspective, imagine two buckets, each filled with 100,000 red and white marbles. In one bucket, the ratio of red to white marbles is exactly 1:1, and in the other it is not 1:1. Imagine further that I hand you a sample of 300 marbles drawn randomly from one of the two buckets (I don't tell you which one), and that 133 of the marbles are red and 167 are white. How confident are you that the sample I handed you did not come from the bucket in which the true ratio of red to white marbles is truly 1:1? Would you wager \$10,000 on your ability to make the correct decision?
        
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To put this in perspective, imagine two buckets, each filled with 100,000 red and white marbles. In one bucket, the ratio of red to white marbles is exactly 1:1, and in the other it is not 1:1. Imagine further that I hand you a sample of 300 marbles drawn randomly from one of the two buckets (I don't tell you which one), and that 133 of the marbles are red and 167 are white. How confident are you that the sample I handed you did not come from the bucket in which the true ratio of red to white marbles is truly 1:1? Would you wager $10,000 on your ability to make the correct decision?

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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To put this in perspective, imagine two buckets, each filled with 100,000 red and white marbles. In one bucket, the ratio of red to white marbles is exactly 1:1, and in the other it is not 1:1. Imagine further that I hand you a sample of 300 marbles drawn randomly from one of the two buckets (I don't tell you which one), and that 133 of the marbles are red and 167 are white. How confident are you that the sample I handed you did not come from the bucket in which the true ratio of red to white marbles is truly 1:1 ? Would you wager $10,000 on your ability to make the correct decision? To put this in perspective, imagine two buckets, each filled with 100,000 red and white marbles. In one bucket, the ratio of red to white marbles is exactly 1:1,and in the other it is not 1:1. Imagine further that I hand you a sample of 300 marbles drawn randomly from one of the two buckets (I don't tell you which one), and that 133 of the marbles are red and 167 are white. How confident are you that the sample I handed you did not come from the bucket in which the true ratio of red to white marbles is truly1:1? Would you wager $10,000 on your ability to make the correct decision?
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Suppose an opaque jar contains 4 red marbles and 10 green marbles. The following exercise refers to the experiment of picking two marbles from the jar without replacing the first one. What is the probability of getting a green marble and a red marble? (Enter your probability as a fraction. Hint: How is this exercise different from finding the probability of getting a green marble first and a red marble second?) "If something can go wrong, it will go wrong." This funny saying is called Murphy's law. Let's interpret this to mean "If something can go wrong, there is a very high probability that it will eventually go wrong." Suppose we look at the event of having an automobile accident at some time during a day's commute. Let's assume that the probability of having an accident on a given day is 1 in a thousand or 0.001. That is, in your town, one of every thousand cars on a given day is involved in an accident (including little fender-benders). We also assume that having (or not having) an accident on a given day is independent of having (or not having) an accident on any other given day. Suppose you commute 42 weeks per year, 5 days a week, for a total of 210 days each year. In the following parts, write each probability in decimal form rounded to three places. (a) What is the probability that you have no accident over a year's time? (b) What is the probability that you have at least one accident over a one-year period? (c) Repeat part (a) for a 10-year period and for a 30-year period. 10-year period 30-year period Repeat part (b) for a 10-year period and for a 30-year period. 10-year period 30-year period

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A bag contains 5 red marbles, 10 white marbles, and 6 blue marbles. You draw 4 marbles out at random, without replacement. What is the probability that all the marbles are red? The probability that all the marbles are red is What is the probability that exactly two of the marbles are red? The probability that exactly two of the marbles are red is What is the probability that none of the marbles are red? The probability of picking no red marbles is NOTE: The problem expects exact answers. You can type in an exact expression like 5*4*3/(11*10*9), for example, and it will accept it if correct. Otherwise, if you give a decimal answer you need to include five decimal places.

Joanna Q.


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Transcript

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00:01 Alright, so we are given then the number of red marbles are 10 and the number of blue marbles are 15 and the total number of marbles are 25.
00:13 Okay, now if we look at here in two, we have to find the probability of selecting two marbles without replacement...
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