Question

Using Rstudio for this question 1. For a particular observation, assume the true unknown probability p=0.5. 2. Simulate one trial of a random binary variable called y1 using >y1<- rbinom(1,1,p) What is your y1 value?

Answer 1

The y1 value is either 0 or 1, representing the outcome of a single trial of a binary variable with a true unknown probability
`\( p = 0.5 \)` simulated using the `rbinom` function in RStudio.

Step-by-step explanation:

Using RStudio, you can simulate one trial of a random binary variable called y1 with the given probability
`\( p = 0.5 \)` using the following code:

```R

# Set the true unknown probability

p <- 0.5

# Simulate one trial of a random binary variable y1

y1 <- rbinom(1, 1, p)

```

Now, let's explain the y1 value:

The `rbinom` function simulates random draws from a binomial distribution. In this case, it simulates one trial (the first argument) of a binary variable with a success probability of
`\( p = 0.5 \)` (the second argument). The result, stored in the variable y1, will be either 0 or 1, representing the outcome of the binary variable for this particular trial.

For example, if the generated value is 0, it means the trial resulted in failure (or "0"), and if it's 1, it means the trial resulted in success (or "1"). The specific outcome can vary each time you run the code due to the random nature of the simulation.