Question

Suppose that 76 of the 95 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?

Answer 1

Using probability, it can be expected that a woman would read the invocation on the radio program on approximately 292 days in the year 2013.

Step-by-step explanation:

The question asks us to calculate the expected number of days a woman governor would read the invocation on a radio program. To determine this, we use the concept of probability. There were 76 women out of 95 governors, so the probability of selecting a woman on any given day is 76/95. Since there are 365 days in the year 2013 (a non-leap year), we multiply the daily probability by the total number of days to find the expected value.

Expected number of days a woman will be selected = Probability of selecting a woman × Total number of days in 2013

= (76/95) × 365

= 0.8 × 365 ≈ 292 days

Therefore, it should be expected that a woman governor would read the invocation on approximately 292 days in the year 2013.