Question

Calculate a 95% credible Interval for 0 and interpret the result carefully.

The RSA will launch a new initiative if the probability of drivers using their phone
exceeds 50%. Find the probability that 50% of drivers use their phone from your
posterior distribution. The p beta function in R will be useful here.

Answer 1

To find the probability that 50% of drivers use their phone from a posterior distribution, you can use the pbeta function in R.

Step-by-step explanation:

To calculate a 95% credible interval for 0, you would need more information about the problem. However, if you are referring to a credible interval for the proportion of drivers using their phone, I assume you have the posterior distribution in the form of a beta distribution. To find the probability that 50% of drivers use their phone from the posterior distribution, you can use the pbeta function in R.

For example, if you have a beta distribution with parameters alpha and beta, you can use the pbeta function with the arguments 0.5, alpha, and beta to find the probability. The result will give you the probability that the proportion is less than or equal to 0.5. Subtracting this probability from 1 will give you the probability that the proportion is greater than 0.5.