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