A binomial experiment has 6 trials in which p = 0.85. what is the probability of getting at least 4 successes?
1 answer:
By applying binomial probability, the probability of getting at least four (4) successes is 0.9527.
<h3>How to determine the probability?</h3>In order to determine the probability of getting at least four (4) successes, we would apply binomial probability equation:
The probability of getting at least four (4) successes is given by:
P(x ≥ 4) = P(4) + P(5) + P(6)
Substituting the given parameters into the equation, we have;
P = ⁶C₄ × (0.85)⁴ × (0.15)³ + ₅C₆ × (0.85)⁵ × (0.15) + ⁶C₆ × (0.85) × (0.15)⁶
P = 0.17618 + 0.39933 + 0.37715
P = 0.9527.
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The statement that explains such a relationship is that as the percent of woodland increases, the number of deer observed in a group decreases quickly at first and then more slowly
- Nonlinear relationship is a type of relationship that changes that takes place in the output change not in direct proportion to alterations (changes) in any of the inputs.
- This type of relationship does not produce any straight line but produces a curve line.
- Negative relationship is simply known as negative or inverse correlation that occurs between two variables. That is when that one variable increases, the other decreases, and vice-versa. As in the case of the woodland and the beer. When woodland increases, the deer decreases and vice versa
Conclusively, we can say that as the statement that explains such a relationship is that as the percent of woodland increases, the number of deer observed in a group decreases quickly at first and then more slowly
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