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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Based on the chart, the correct options are:
- The production of coal decreased, while the production of solar increased; option D.
- Solar energy technology has improved and increased in capacity, but coal has decreased in capacity because it is a limited resource; option A
Solar energy is a type of renewable energy from the sun.
Solar energy is gradually being used to replace non-renewable energy sources such as coal.
Based on the chart:
The production of coal decreased, while the production of solar increased; option D.
Solar energy technology has improved and increased in capacity, but coal has decreased in capacity because it is a limited resource.
In conclusion, solar energy production is increasing.
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