Please please help me out
1 answer:
Answer:
y + 9 = - 10(x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, - 9) and (x₂, y₂ ) = (- 10, 101)
m = =
= - 10
Using (a, b) = (1, - 9), then
y - (- 9) = - 10(x - 1), that is
y + 9 = - 10(x - 1)
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Using conditional probability, it is found that there is a 0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.
<h3>What is Conditional Probability?</h3>Conditional probability is the probability of one event happening, considering a previous event. The formula is:
In which
- P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem, the events are:
- Event A: Positive test result.
- Event B: Pregnant.
The probability of a positive test result is composed by:
- 99% of 10%(truly pregnant).
- 2% of 90%(not pregnant).
Hence:
The probability of both a positive test result and pregnancy is:
Hence, the conditional probability is:
0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.
You can learn more about conditional probability at brainly.com/question/14398287