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?
This exercise is part of the course
Foundations of Probability in R
Exercise instructions
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.
Hands-on interactive exercise
Have a go at this exercise by completing this sample code.
# Calculate the probability that at least five coins are heads
# Confirm your answer with a simulation of 10,000 trials