We want to know if money affects happiness. We surveyed 20 people one week before they were notified of winning a large publishe
1 answer:
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Answer:
97.10% probability that five or more of the original 2000 components fail during the useful life of the product.
Step-by-step explanation:
For each component, there are only two possible outcomes. Either it works correctly, or it does not. The probability of a component falling is independent from other components. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
Approximate the probability that five or more of the original 2000 components fail during the useful life of the product.
We know that either less than five compoenents fail, or at least five do. The sum of the probabilities of these events is decimal 1. So
We want
So
In which
97.10% probability that five or more of the original 2000 components fail during the useful life of the product.
Answer:
360
Step-by-step explanation:
1. Set up your equation!
=
2. Cross multiply to solve!
100 times 126 = 12600
35 times x = 36x
3. Continue!
12600=35x
4. Divide the coefficient on both sides to get the variable by itself
=x (the 35 cancels out)
12600 divided by 35 = 360
And there’s your answer! 360