Rivers allowing for productive agriculture were the key factor in the settling of cities. Mountain ranges kept cultures in separate areas, providing natural barriers to imperialist agendas. The rich, fertile soil of the Middle East led early civilizations to settle, domesticate plants and animals, and thrive.
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Using the binomial distribution, it is found that there is a:
- 0.0036 = 0.36% probability that both are allergic to pollen.
- 0.1164 = 11.64% probability that at least one is allergic to pollen.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
Researching the problem on the internet, it is found that:
- 6% of the population is allergic to pollen, hence p = 0.06.
- Two people are chosen at random, hence n = 2.
The probability that both are allergic is P(X = 2), hence:
P(X = 2) = 0.06^2 = 0.0036.
0.0036 = 0.36% probability that both are allergic to pollen.
The probability of at least one is:
P(X >= 1) = 1 - P(X = 0) = 1 - 0.94^2 = 1 - 0.8836 = 0.1164.
0.1164 = 11.64% probability that at least one is allergic to pollen.
More can be learned about the binomial distribution at brainly.com/question/24863377