Probability either variable is less than or equal to 4
Suppose X is a random Binom(10, .6) variable (10 flips of a coin with 60% chance of heads) and Y is a random Binom(10, .7) variable (10 flips of a coin with a 70% chance of heads), and they are independent.
What is the probability that either of the variables is less than or equal to 4?
Bu egzersiz
Foundations of Probability in R
kursunun bir parçasıdırEgzersiz talimatları
- Simulate 100,000 draws from each of X (10 coins, 60% chance of heads) and Y (10 coins, 70% chance of heads) binomial variables, saving them as
XandYrespectively. - Use these simulations to estimate the probability that either X or Y is less than or equal to 4.
- Use the
pbinom()function to calculate the exact probability that X is less than or equal to 4, then the probability that Y is less than or equal to 4. - Combine these two exact probabilities to calculate the exact probability that either variable is less than or equal to 4.
Uygulamalı interaktif egzersiz
Bu örnek kodu tamamlayarak bu egzersizi bitirin.
# Use rbinom to simulate 100,000 draws from each of X and Y
X <-
Y <-
# Estimate the probability either X or Y is <= to 4
# Use pbinom to calculate the probabilities separately
prob_X_less <-
prob_Y_less <-
# Combine these to calculate the exact probability either <= 4