Thank you for visiting A cannon will be used to destroy a target From past experience it is known that in a shooting the cannon ball hit to the. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
The correct answer is: 0.9924
the probability of destroying the target after 10 shootings is approximately 0.9924 or 99.24%.
The probability of destroying the target is the probability of having at least two successful shootings out of 10. We can calculate this using the binomial distribution.
The binomial distribution of probability mass function (PMF) is given by the formula:
[tex]P(X = k) = C(n, k) * p^k * (1-p)^(n-k)[/tex]
P(X = k) is the probability of getting k successes in n trials
C(n, k) is the number of combinations of n items taken k at a time
p is the probability of success on each trial
In this case, we have n = 10 (number of shootings) and p = 0.56 (probability of a successful shooting).
To find the probability of at least two successful shootings, we need to calculate the sum of probabilities from two successful shootings to 10 successful shootings:
[tex]P(X ≥ 2) = P(X = 2) + P(X = 3) + ... + P(X = 10)[/tex]
Using a calculator or statistical software, we can calculate this probability.
Therefore, the probability of destroying the target after 10 shootings is approximately 0.9924 or 99.24%.
Learn more about probability mass function here:
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