Calculating density of a binomial

If you flip 10 coins each with a 30% probability of coming up heads, what is the probability exactly 2 of them are heads?

This exercise is part of the course

Foundations of Probability in R

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Exercise instructions

  • Answer the above question using the dbinom() function. This function takes almost the same arguments as rbinom(). The second and third arguments are size and prob, but now the first argument is x instead of n. Use x to specify where you want to evaluate the binomial density.
  • Confirm your answer using the rbinom() function by creating a simulation of 10,000 trials. Put this all on one line by wrapping the mean() function around the rbinom() function.

Hands-on interactive exercise

Have a go at this exercise by completing this sample code.

# Calculate the probability that 2 are heads using dbinom


# Confirm your answer with a simulation using rbinom