Suppose that 16 of the 80 state governors in a country were women. on each day of 2013, one of these state governors was randomly selected to read the invocation on a popular radio program. on approximately how many of those days should it be expected that a woman was chosen?

a woman was chosen on approximately
of the days in 2013.

  73

Step-by-step explanation:

Create a proportion of governors to the total number of days in 2013

73 days.

Step-by-step explanation:

The event that a female governor was chosen is independent between all days in 2013. The list of governors won't change so the chance will stay the same.

The question is asking for the number of successes in a fixed number of such independent trials. The Binomial Distribution will come handy for this purpose.

The Binomial Distribution asks for two parameters:

Let success be that a female governor was chosen. There are 80 governors but only 16 are female.

.

How many days in 2013?

2013 is not a multiple of 4. The year 2013 is not a leap year. There are a total of 365 days in 2013.

Now, what's the expected value of a binomial distribution?

Given the distribution ∼ ,

Let be the number of days a female governor be chosen in 2013.

∼ .

Expected number of days a female governor be chosen in 2013:

.

add 5 subtract 1

step-by-step explanation:

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°