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2 answers:
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For this problem, we just have to use the values we're given to calculate the approximate value of pi.
The formula presented is
When you have a negative exponent, we can use the following property
Using this property, our problem turns out to be
Now, we just need to plug the given values on this equation
The approximated value for pi is 3.142.
Answer:
0.9606 = 96.06% probability that the system will function tomorrow
Step-by-step explanation:
For each component, there are only two possible outcomes. Either it works, or it does not. Components are independent. This means that 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.
Probability of a component working:
0.7 of 0.2(rain)
0.9 of 1 - 0.2 = 0.8(no rain). So
0.86 - 86% probability that the system will function tomorrow
6 components:
This means that
What is the probability that the system will function tomorrow
This is
In which
0.9606 = 96.06% probability that the system will function tomorrow