Answer :
Final answer:
The problem can be solved using the concept of binomial probability and the binomial cumulative probability formula. Upon substituting the given values into the formula, we can use a graphing calculator or other software to calculate the desired probability.
Explanation:
This problem is based on the concept of binomial probability. The given details state that a car with a certain protection system will be recovered 86% of the time, therefore the probability of successful recovery, p, is 0.86. We need to find the probability that at least 8 out of 12 cars will be recovered.
Here's how to solve the problem:
- Using the binomial cumulative probability formula: P(X >= k) = 1 - binomcdf(n, p, k-1), where binomcdf is a cumulative probability function.
- Substitute the values into the formula: 1 - binomcdf(12, 0.86, 7).
- On using a graphing calculator or other software to calculate, we will derive the probability that at least 8 out of 12 cars will be recovered.
Learn more about Binomial Probability here:
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