The mammogram is helpful for detecting breast cancer in its early stages. However, it is an imperfect diagnostic tool. According
1 answer:
Answer:
The probability that she will have breast cancer is 0.2375.
Step-by-step explanation:
P(Positive if no Cancer) = 86.6/1000 = 0.0866
P(Positive if Cancer) = 1 − 1.1/1000 = 0.9989, and
P(Cancer) = 1/38 = 0.0263
If a woman between the ages of 50 and 59 has a positive mammogram, the probability that she will have breast cancer will be calculated by using the Bayes rule.
Bayes’s theorem describes the probability of an event.
P(Cancer if Positive) =
=
= 0.2375
You might be interested in
Answer:
See the attachment.
Step-by-step explanation:
Function notation: This means the description of the curve is written in the form ...
f(x) = <an expression that describes the curve in terms of independent variable x>
The name of the function does not have to be "f", though f, g, h are traditional for generic functions. In specific cases, the function name might be related to the value the function delivers: <em>cost(n)</em> might be the function that tells you the cost of producing n items, for example.
The functions shown (square root, reciprocal) should be shapes you have memorized. You can check the scale factor at specific values you know, for example, √4 = 2, or 1/1 = 1. Hence both functions have a scale factor of 1 (no scaling).
___
The domain is the horizontal region where the function is defined. Square root is not defined for negative numbers; reciprocal is not defined for 0. Hence the descriptions of the respective domains must exclude these values.
___
The range is the vertical extent of the values each function produces. The domain and range are the same for both functions shown here.
___
Asymptotes are lines the function approaches but does not reach. The square root function has no such lines. (It reaches vertical at x=0.)
The reciprocal function has a vertical asymptote as x=0 (the value of x that makes the function denominator zero). And, it has a horizontal asymptote at y=0, a value that can be approached, but not reached, as x gets large in either the positive or negative directions.
___
End behavior: The square root function heads off toward (∞, ∞). The reciprocal function heads toward the value defined by the horizontal asymptote: y=0 as x gets large in magnitude.
