Use the rbinom() function to create a vector of 1000 random observations from the binomial distribution...
- Use the rbinom() function to create a vector of 1000 random
observations from the binomial distribution with n=100 and
probability of success is equal to 0.4.
- Calculate the mean and standard deviation statistics for this vector of random draws using the mean() and sd() commands.
- How do these numbers compare the mean and standard deviation of the binomial distribution when and ? If they are different, why?
- Make a histogram of this vector using the hist() command.
Homework Answers
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Use the rbinom() function to create a vector of 1000 random
observations from the binomial distribution...
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(a) Using the rbinom or sample commands in R programming, simulate 50 independent aian (b) Repeat for 100 tosses, and then 500 tosses. For each of these calculate the proportion of heads and the standard deviation. (c) What do you observe? Is it because of the Law of Large Numbers or because of the Central Limit Theorem? Explain. (d) Now draw 500 samples of 500 tosses each. What is the mean proportion of heads? (e) Plot the sampling distribution for...
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