Question

U.S. Governors. In 2013, according to the National Governors Association, 30 of the 50 state governors were Republicans. Suppose that on each day of 2013, one U.S. state governor was randomly selected to read the invocation on a popular radio program. On approximately how many of those days should we expect that a Republican was chosen?

Short answer

There will be 219 days where we can expect that a Republican was chosen.

Step-by-step solution

Step 1. Given information.

The given statement is:

In 2013, according to the National Governors Association, 30 of the 50 state governors were Republicans. Suppose that on each day of 2013, one U.S. state governor was randomly selected to read the invocation on a popular radio program.

 Step 2. Find how many of those days should we expect that a Republican was chosen.

Republican governors account for 30 of the 50 state governors.

So, if a governor is chosen at random, the probability that he or she will be a Republican is:

$$\begin{gathered} P\left(E\right)=\frac{30}{50} \\ =0.6 \end{gathered}$$

We know that In the year 2013, there were a total of 365 days.

According to the concept of frequentist interpretation of probability, in case of a large number of experiment repetitions, the chosen governor will be republican 60% of the time.

As a result, in a year of 365 days, there will be days:

$365\times 0.6=219$

There will be 219 days.