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1. Is the result of flipping a coin discrete or continuous? Discrete - "results of counting, take only certain numerical values". The results of flipping a coin can only be heads or tails. 2. What is the probability of getting heads/tails. 1 out of 2 (1/2) =0.5 3. If you flip a coin 4 times, what is the probability of getting 1 head and 3 tails? Is this the same probability as getting 1 tail and 3 heads? Explain. (see the document above) The probability of getting 1 head and 3 tails is 0.25 Using the tree diagram, we can see that flipping a coin 4 times will give us 16 options, and 4 out of them are 1 head and 3 tails. 4/16 -0.25, which is the same as getting 1 tail and 3 heads, as the probability of getting heads/tail is 0.5.

1. Is the result of flipping a coin discrete or continuous? Discrete - "results of counting, take only certain numerical values". The results of flipping a coin can only be heads or tails. 2. What is the probability of getting heads/tails. 1 out of 2 (1/2) =0.5 3. If you flip a coin 4 times, what is the probability of getting 1 head and 3 tails? Is this the same probability as getting 1 tail and 3 heads? Explain. (see the document above) The probability of getting 1 head and 3 tails is 0.25 Using the tree diagram, we can see that flipping a coin 4 times will give us 16 options, and 4 out of them are 1 head and 3 tails. 4/16 -0.25, which is the same as getting 1 tail and 3 heads, as the probability of getting heads/tail is 0.5.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1. Is the result of flipping a coin discrete or continuous? Discrete - "results of counting, take only certain numerical values". The results of flipping a coin can only be heads or tails. 2. What is the probability of getting heads/tails. 1 out of 2 (1/2) =0.5 3. If you flip a coin 4 times, what is the probability of getting 1 head and 3 tails? Is this the same probability as getting 1 tail and 3 heads? Explain. (see the document above) The probability of getting 1 head and 3 tails is 0.25 Using the tree diagram, we can see that flipping a coin 4 times will give us 16 options, and 4 out of them are 1 head and 3 tails. 4/16 -0.25, which is the same as getting 1 tail and 3 heads, as the probability of getting heads/tail is 0.5. 4.Define the Law of Large Numbers in relationship to flipping a coin. The law of large numbers states that as a sample size grows, its mean gets closer to the average of the whole population. This is due to the sample being more representative of the population as the sample becomes more extensive. So for flipping a coin, the more if flip a coin, the more, the chances of getting head/tail should be equal. 5. What range of values would be considered usual if you flipped the coin 10 times? Explain your answer using probability and Statistical reasoning. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} - Look at 5% probability rule for rare events. If an event has less than a 5% probability, then the general rule is that the outcome is unusual, not likely to occur. If the probability of an outcome is greater than 5%, then we would say that the outcome is not unusual. P(x-1)=binompdf(10,0.5,1)=0.97% which is less than 5%
Transcribed Image Text:1. Is the result of flipping a coin discrete or continuous? Discrete - "results of counting, take only certain numerical values". The results of flipping a coin can only be heads or tails. 2. What is the probability of getting heads/tails. 1 out of 2 (1/2) =0.5 3. If you flip a coin 4 times, what is the probability of getting 1 head and 3 tails? Is this the same probability as getting 1 tail and 3 heads? Explain. (see the document above) The probability of getting 1 head and 3 tails is 0.25 Using the tree diagram, we can see that flipping a coin 4 times will give us 16 options, and 4 out of them are 1 head and 3 tails. 4/16 -0.25, which is the same as getting 1 tail and 3 heads, as the probability of getting heads/tail is 0.5. 4.Define the Law of Large Numbers in relationship to flipping a coin. The law of large numbers states that as a sample size grows, its mean gets closer to the average of the whole population. This is due to the sample being more representative of the population as the sample becomes more extensive. So for flipping a coin, the more if flip a coin, the more, the chances of getting head/tail should be equal. 5. What range of values would be considered usual if you flipped the coin 10 times? Explain your answer using probability and Statistical reasoning. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} - Look at 5% probability rule for rare events. If an event has less than a 5% probability, then the general rule is that the outcome is unusual, not likely to occur. If the probability of an outcome is greater than 5%, then we would say that the outcome is not unusual. P(x-1)=binompdf(10,0.5,1)=0.97% which is less than 5%
1. The result of flipping a coin is discrete. 2. The probability for either a head or a tail is 3. The probability of getting 1 head and 3 tails. = 12=0.5. 4. When we toss a coin the chances of tails and heads are the same: 50% and 50%. The sample mean converges to the population mean in probability. 5. In Probability Reasoning, I would do the following math: Flips - N=10 P (heads) - P=0.5 Expert - E - Np= 10x0.5= 5 To find the most likely number I would turn the heads or tails of the coins. Statistical Reasoning: The fact that heads and tails are equally likely, we would expect to get the same as heads and tails in 10 tosses (5 each).
Transcribed Image Text:1. The result of flipping a coin is discrete. 2. The probability for either a head or a tail is 3. The probability of getting 1 head and 3 tails. = 12=0.5. 4. When we toss a coin the chances of tails and heads are the same: 50% and 50%. The sample mean converges to the population mean in probability. 5. In Probability Reasoning, I would do the following math: Flips - N=10 P (heads) - P=0.5 Expert - E - Np= 10x0.5= 5 To find the most likely number I would turn the heads or tails of the coins. Statistical Reasoning: The fact that heads and tails are equally likely, we would expect to get the same as heads and tails in 10 tosses (5 each).
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