The Values in the table represent a function.
1 answer:
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Answer:
1.8
Step-by-step explanation:
The point of intersection of the left-side function with the right-side function is the value of x where the two functions evaluate to the same quantity. That value of x is near 1.785, as indicated on the attached graph. Rounded to the nearest tenth, the value of x is 1.8.
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<em>Refinement of the graphical solution</em>
An iteration method called Newton's Method can be used to refine the estimate to the limit of accuracy of the calculator. For that, it is convenient to define a function such as the one you get when you subtract the right side from the left side. Newton's Method is good at finding the zero(s) of such a function.
The function defined as g(x) in the attachment is the iterator for Newton's Method. It gives the next "guess" based on the guess you give it as an argument. When there is no change, the guess is as accurate as the calculator can provide. Here, that refined estimate of x is x ≈ 1.78522264685.
Using the probability concept, it is found that there is a 0.8456= 84.56% probability that client A lives to be 20 years old.
<h3 /><h3>What is probability?</h3>A probability is the chances of happening of any event from the random variables. A probability is the number of desired outcomes divided by the number of total outcomes, that is:
In this problem:
Out of 100,000 clients, 84,560 lives to age 64, hence
Then:
There is a 0.8456= 84.56% probability that client A lives to be 30 years old.
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