Calculating cumulative density of a binomial
If you flip ten coins that each have a 30% probability of heads, what is the probability at least five are heads?
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Foundations of Probability in R
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Answer the above question using the
pbinom()function. (Note that you can compute the probability that the number of heads is less than or equal to 4, then take 1 - that probability).Confirm your answer with a simulation of 10,000 trials by finding the number of trials that result in 5 or more heads.
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# Calculate the probability that at least five coins are heads
# Confirm your answer with a simulation of 10,000 trials