Question 2: The Rapid Test is used to determine whether someone has HIV (the virus that causes AIDS). The falsepositive and false-negative rates are .028 and .091, respectively. A physician has
just received the Rapid Test report that his patient tested positive. Before receiving the result, the
physician assigned his patient to the low-risk group (defined on the basis of several variables) with
only a 0.6% probability of having HIV. What is the probability that the patient actually has HIV?

0.1626 = 16.26% probability that the patient actually has HIV

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It 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 question:

Event A: Positive test

Event B: Has HIV.

Probability of a positive test:

0.028 of 100 - 0.6 = 99.4% = 0.994(false-positive).

1 - 0.091 = 0.901 out of 0.6% = 0.006(positive). So

Probability of a positive test and having HIV:

0.901 out of 0.006. So

What is the probability that the patient actually has HIV?

0.1626 = 16.26% probability that the patient actually has HIV

900 degrees

step-by-step explanation:

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.