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Assume that you have a binomial experiment with p 0.5 and a sample size of 100. The expected value of this distribution is?
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What are the differences between discrete and continuous distribution?
discrete distribution is the distribution that can use the value of a whole number only while continuous distribution is the distribution that can assume any value between two numbers.
If there is a test of 12 true false questions and all answers are guessed what is the mean and standard deviation of correct answers?
We'll assume reasonably that you get a correct answer with probability 0.5. Then the context implies that the number of correct answers is a sum of 12 Bernoulli random variables with p=0.5, which becomes a Binomial distribution with n=12 and p=0.5. Formally: Y(i)~Ber(0.5) => X = Y(1) + ... + Y(12) => X~Bin(12,0.5) The mean for a Binomial distribution is n*p, hence E(X)=12*0.5=6. The variance for a Binomial distribution is n*p*(1-p), hence Var(X)=12*0.5*0.5=3. The standard deviation is calculated as the square root of the variance so SD(X)=3^0.5=1.732.
How do you find the interquartile range when given the mean and standard deviation?
In general you cannot. You will need to know more about the distribution of the variable - you cannot assume that the distribution is uniform or Normal.
What approach to probability is based on a persons degree of belief and hunches that a particular event will happen?
Subjective If you assume particular events will happen with a certain prior distribution, that is Bayesian probability.
What is a contrast between what is expected and reality?
Contrast is a synonym for difference. Expected means when something can be easily predicted or you could assume this would happen. Reality is when is something that could happen but doesn't really include predicting anything. It is more of using common sense to analyze something that could happen.
When the population standard deviation is unknown the sampling distribution is equal to what?
The answer will depend on the underlying distribution for the variable. You may not simply assume that the distribution is normal.
What are the differences between discrete and continuous distribution?
discrete distribution is the distribution that can use the value of a whole number only while continuous distribution is the distribution that can assume any value between two numbers.
If there is a test of 12 true false questions and all answers are guessed what is the mean and standard deviation of correct answers?
We'll assume reasonably that you get a correct answer with probability 0.5. Then the context implies that the number of correct answers is a sum of 12 Bernoulli random variables with p=0.5, which becomes a Binomial distribution with n=12 and p=0.5. Formally: Y(i)~Ber(0.5) => X = Y(1) + ... + Y(12) => X~Bin(12,0.5) The mean for a Binomial distribution is n*p, hence E(X)=12*0.5=6. The variance for a Binomial distribution is n*p*(1-p), hence Var(X)=12*0.5*0.5=3. The standard deviation is calculated as the square root of the variance so SD(X)=3^0.5=1.732.
What is the opposite of experience?
There is no direct opposite for the noun experiment (testing). However, the verb experiment could have the opposite words "assume" or "accept" (without experiment).
Why is Maximum Ride The Angle experiment that good?
I would assume you meant "The Angel experiment..."It had suspense, humor, and it had good content... awesome book!
What is the smallest measure of central tendency in a positively skewed distribution?
If the distribution is positively skewed distribution, the mean will always be the highest estimate of central tendency and the mode will always be the lowest estimate of central tendency. This is true if we assume the distribution has a single mode.
How to find the variance of 36 percent of voters favor a given ballot for groups of 30 voters find the variance for the nunmber who favor the measure?
If you assume a binomial distribution, the variance is n*p*(1-p) where n is the number of voters = 30 p is the probability of support = 0.36 So variance = 30*0.36*0.64 = 6.912
If an event has a 1 in 4 chance of occurring what is the probability of it happening to one individual in a sample of five?
If we assume that the probability of an event occurring is 1 in 4 and that the event occurs to each individual independently, then the probability of the event occurring to one individual is 0.3955. In order to find this probability, we can make a random variable X which follows a Binomial distribution with 5 trials and probability of success 0.25. This makes sense because each trial is independent, the probability of success stays constant for each trial, and there are only two outcomes for each trial. Now you can find the probability by plugging into the probability mass function of the binomial distribution.
How do you find the interquartile range when given the mean and standard deviation?
In general you cannot. You will need to know more about the distribution of the variable - you cannot assume that the distribution is uniform or Normal.
What is experimental yield?
The expected percent yield is how much product you expect to get for a given experiment. This isn't necessarily theoretical yield, however. Theoretical yield is the amount of product you will get considering that NONE is lost, and the product goes 100% to completion (this omits the equilibriums that occur, i.e. you dont consider the stuff you wont get back, you just assume you'll get all your product) Expected yield is how much product you expect to get. If someone has invented or done the experiment before and says you will get a 56% yield if you follow steps a,b,c,d etc etc, then your expected yield is 56%.
What is the scientific term for the things you make sure don't change during a experiment?
I assume the term for something that is not changed during an experiment is called, the control. Any changes observed in the experiment, can be compare to the control, which is still be in the original form before the experiment began.
Why was gold the chosen target for rutherfords experiment?
I assume that is because gold can be formed into an extremely thin sheet.
