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Considering the area of the hole, it is found that there is a 4.9% probability of hitting a ball into the circular hole.
<h3>What is the area of a circle?</h3>The area of a circle of radius r is given by:
In this problem, the hole has a diameter of 1 ft, hence it is radius is of r = 1 ft/2 = 0.5 ft, and it's area is given by:
Hence the probability is given by:
p = 0.7854/16 = 0.049 = 4.9%
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
Correct option: A. P=0.057
Step-by-step explanation:
<u>Binomial Distribution</u>
The binomial distribution fits the case of n independent events each one with a probability of success equal to p where k successes have been achieved.
The PMF (Probability Mass Function) of the binomial distribution is
Where
The individual probability that an electronic device does not function properly is p=0.1. We know n=10 devices have been bought and we want to compute the probability that 7 devices function properly. Please notice that this is not the value of k since p is the probability of failure. The correct value of k=10-7=3. The required probability is