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:

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ 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:

$P(A) = 0.99(0.1) + 0.02(0.9) = 0.117$

The probability of both a positive test result and pregnancy is:

$P(A \cap B) = 0.99(0.1)$

Hence, the conditional probability is:

$P(B|A) = \frac{0.99(0.1)}{0.117} = 0.8462$

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

7 0

2 years ago

Jolene is making a line graph showing that the cost of grain is proportional to the number of pounds purchased. Jolene will plot

Gelneren [198K]

Answer:

a. $(1,0.25)$

b. $y = 0.25x$

Step-by-step explanation:

Given

The data in the table

Solving (a): The coordinate that represents the unit rate

The unit rate is when its 1 pound

This is so because the unit rate is dollars per pounds.

Hence, the coordinate is $(1,0.25)$

Solving (b): Equation of the graph

First, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$(x_1,y_1) = (1,0.25)$

$(x_2,y_2) = (4,1.00)$

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{1.00 - 0.25}{4 - 1}$

$m = \frac{0.75}{3}$

$m = 0.25$

The equation is then calculated as thus:

$y - y_1 = m(x - x_1)$

This gives:

$y - 0.25 = 0.25(x - 1)$

$y - 0.25 = 0.25x - 0.25$

Make y the subject

$y = 0.25x$

Hence, the equation of the graph is: $y = 0.25x$

6 0

3 years ago