Question

It has been reported that 8% of all Missourians faced food insecurity during COVID-19 pandemic. If 5 persons are randomly selected, find the probability that at least one person would have faced food insecurity.

Answer 1

The probability that at least one of five randomly selected Missourians faced food insecurity during the COVID-19 pandemic is 34.09%.

Step-by-step explanation:

To find the probability that at least one person out of five randomly selected Missourians faced food insecurity during the COVID-19 pandemic, we need to use the concept of complementary probability. The probability that one person did not face food insecurity is 1 - P(faced food insecurity) = 1 - 0.08 = 0.92.

The probability that all five did not face food insecurity is (0.92)⁵. Therefore, the probability that at least one person faced food insecurity is 1 - (0.92)⁵.

Calculating this gives us:
1 - (0.92)⁵ = 1 - 0.6591 = 0.3409 or 34.09%

Thus, there is a 34.09% chance that at least one of the five randomly selected Missourians faced food insecurity.