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Q: What is the sample space for choosing a marble out of a bag with 3 green 4 blue and 7 purple marbles?
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What is the independent and dependent event for pulling two marbles out of a bag?

The first marble is the independent event because its probability is only based on the sample space of the bag. The second marble is the dependent event because its probability is based on the sample space of the bag which has now been changed by the first marble.


How can you calculate the volume of a sample of marbles?

Either: 1) Find the radius of each marble and thus their volume through V = 4/3 x pi x r^3 and then add the volumes up. or 2) Put all the marbles in a measuring jug and fill it up to the top. Pour the water into a separate container and empty the marbles out of the jug. Pour the water back into the jug. Thus: Volume of water with marbles - volume of water without the marbles = volume of marbles


What is the difference between a random sample and a simple random sample?

This is a very vague area for new students in Statistics, especially for non-math students.Random Sample: Each member of the entire population has an equal chance of being selected.Simple Random Sample: You can select groups of size n from the entire population, and every possible group has the same chance of being selected.Example: Consider a box with 100 marbles.Random Sample: Reach in and select one marble. Each marble has the same chance of being selected.Simple Random Sample: Reach in and select marbles in groups of 6 (n = 6). No matter how many times you do this, every possible group of six marbles has the same chance of being selected. If you then try selecting groups of 17 (n = 17) marbles, you will also find that every possible group of 17 marbles has an equal chance of being selected.Random, but not Simple Random: For the Presidential Election, lets say you select a random sample of all voting precincts in your state, then interview *all the voters as they leave the polling place. The sample is random because all precincts have an equal chance of being selected. The sample is not simple random, because those voters from precincts that were *not* selected have no chance of being interviewed. This is also known as a Cluster Sample.There is no such thing as a sample that is "Simple Random, but not Random" because n can also equal a sample of size 1.


What is the sample space for choosing a letter from the word mathematics?

The sample space is {m, a, t, h, e, i, c, s} which, curiously, is also the sample space for choosing a letter from my user name!


What is the sample space for choosing a letter from the word probabilities?

The sample space is {p, r, o, b, a, i, l, t, e, s}

Related questions

A jar contains 40 red marbles and 10 black marbles If you take a random sample of one marble from this jar. What is the probability that the marble will be red?

80% chance, Or 40/50


What is the probability for choosing a red marble?

More information is required. Probability by definition is the proportion of a part, called a sample, to the whole, called a population. Thus in this question, we are given the sample only and without the population, it is impossible to calculate the probability. We need to know the size of the population. As a guide, supposing there are 8 red marbles in a jar containing 40 marbles, then the probability of choosing red is 8/40 or 1: 0.2. There is 20 per cent probability of choosing red.


If a bag contains 3 green marbles 5 blue marbles and 2 yellow marbles find the probability that the marble is blue?

Assuming that you're only taking out one marble, then:Your sample space --> 3 + 5 + 2 = 10The probability of getting a blue marble on the first draw is 3/10 or 0.3


What is the independent and dependent event for pulling two marbles out of a bag?

The first marble is the independent event because its probability is only based on the sample space of the bag. The second marble is the dependent event because its probability is based on the sample space of the bag which has now been changed by the first marble.


How can you calculate the volume of a sample of marbles?

Either: 1) Find the radius of each marble and thus their volume through V = 4/3 x pi x r^3 and then add the volumes up. or 2) Put all the marbles in a measuring jug and fill it up to the top. Pour the water into a separate container and empty the marbles out of the jug. Pour the water back into the jug. Thus: Volume of water with marbles - volume of water without the marbles = volume of marbles


What is the sample space of 2 red and 5 yellow marbles?

The sample space of an experiment would be the set of all possible outcomes. If you are reaching your hand into a bag and pulling out a marble at random, the outcomes will either be (red)(red)(yellow)(yellow)(yellow)(yellow)(yellow). This gives seven different options. This will obviously change each time a marble is removed or added.


What is the difference between a random sample and a simple random sample?

This is a very vague area for new students in Statistics, especially for non-math students.Random Sample: Each member of the entire population has an equal chance of being selected.Simple Random Sample: You can select groups of size n from the entire population, and every possible group has the same chance of being selected.Example: Consider a box with 100 marbles.Random Sample: Reach in and select one marble. Each marble has the same chance of being selected.Simple Random Sample: Reach in and select marbles in groups of 6 (n = 6). No matter how many times you do this, every possible group of six marbles has the same chance of being selected. If you then try selecting groups of 17 (n = 17) marbles, you will also find that every possible group of 17 marbles has an equal chance of being selected.Random, but not Simple Random: For the Presidential Election, lets say you select a random sample of all voting precincts in your state, then interview *all the voters as they leave the polling place. The sample is random because all precincts have an equal chance of being selected. The sample is not simple random, because those voters from precincts that were *not* selected have no chance of being interviewed. This is also known as a Cluster Sample.There is no such thing as a sample that is "Simple Random, but not Random" because n can also equal a sample of size 1.


Find the sample space for choosing a purple green black or silver bike having 10 18 21 or 24 speeds?

The sample space ispurple - 10, green - 10, black - 10, silver - 10 purple - 18, green - 18, black - 18, silver - 18 purple - 21, green - 21, black - 21, silver - 21 purple - 24, green - 24, black - 24, silver - 24


What is the sample space for choosing a letter from the word mathematics?

The sample space is {m, a, t, h, e, i, c, s} which, curiously, is also the sample space for choosing a letter from my user name!


How do you melt marble?

Marble is a type of metamorphic rock that cannot be melted down like metals because it will degrade under high temperatures. Attempting to melt marble will result in its decomposition rather than achieving a liquid state.


What is a random sample or one way to reduce when choosing people for an experiment?

bias


How might choosing a small sample size affect a scientific investigation?

Statistically the results will not be scientifically valid if the sample size is too small.