A Diagnostic test has a 98% probability of giving a positive result when given to a person who has a certain disease. It has a 10% probability of giving a (false) positive result when given to a person who does not have the disease. It is estimated that 15% of the population suffers from this disease. (a) What is the probability that a test result is positive? (b) A person receives a positive test result. What is the probability that this person actually has the discase? (c) A person receives a positive test result. What is the probability that this person does not actually have the disease?

a)

b)

c)

Step-by-step explanation:

For this case we define the following notation:

+ represent the event of getting a positive result

D = represent the event of having the disease

ND = represent the event of NO having the disease

From the info given we know that:

And by the complement rule we can find:

Part a

For this case we want to find this probability P(+) and for this case we can use the Bayes total rule and we can do this:

And if we replace we got:

Part b

We want to find this probability and using the bayes rule we have:

We can find the numerator from:

And then if we replace we got:

Part c

We want to find this probability and using the bayes rule we have:

We can find the numerator from:

And then if we replace we got:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

125 yards

step-by-step explanation:

i take 75 plus 50.