Question

Which of the following code lines will compute the probability of getting at most 2 heads in 5 coin flips?

Hint: You may verify the answer by hand by checking the binomial distribution table in Quercus.
1. pbinom (2,5,0.5)
2. dbinom(5, 2,0.5)
3. pbinom (5,2,0.5)
4. dbinom (2,5,0.5)

Answer 1

The correct answer is '1. pbinom (2,5,0.5)' as this calculates the cumulative probability of obtaining at most 2 heads in 5 fair coin flips.

Step-by-step explanation:

The correct code line that will compute the probability of getting at most 2 heads in 5 coin flips is 1. pbinom (2,5,0.5). This function, pbinom, calculates the cumulative probability of getting a certain number of successes (in this case, heads) in a specified number of Bernoulli trials (coin flips), given a certain probability of success on any given trial. Option 1 gives us the cumulative probability of getting 0, 1, or 2 heads in 5 flips of a fair coin, where the probability of getting a head on any single flip is 0.5. Therefore, the pbinom function fits the scenario where each outcome is equally likely, such as a fair coin toss.