1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergejj [24]
3 years ago
13

slader Suppose that 8% of all bicycle racers use steroids, that a bicyclist who uses steroids tests positive for steroids 96% of

the times, and that a bicyclist who does not use steroids tests positive for steroids 9% of the time. What is the probability that a randomly selected bicyclist who tests positive for steroids actually uses steroids?
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
8 0

Answer:

P = 0.4812

Step-by-step explanation:

First, we need to use here two expressions and then do the calculations.

The first one is the conditional probability which is:

P(B|A) = P(A∩B)/P(A)   (1)

The second expression to use has relation with the Bayes's theorem which is the following:

P(D|C) = P(C|D)*P(D) / P(C|D)*P(D) + P(C|d)*P(d)   (2)

Now, the expression (2) is the one that we will use to calculate the probability of a selected random bicyclist who tests positive for steroids.

So, in this case, we will call C for positive and D that is using steroids and d is the opposite of d, which means do not use steroids.

Then, the probabilities are the following:

P(D) = 8% or 0.08

P(C|D) = 96% or 0.96

P(C|d) = 9% or 0.09

P(d) = 1 - 0.08 = 0.92

With these data, let's replace in expression 2

P(D|C) = 0.96 * 0.08 /0.96 * 0.08 + 0.09*0.92

P(D|C) = 0.0768 / 0.1596

P(D|C) = 0.4812 or 48.12%

You might be interested in
What is the distance from romans feet to the base of the flag pole?<br> With process please
Doss [256]
Cos(39) + x/17 
x = 17cos(39) 

x = 13.2<span>1148134</span>
5 0
3 years ago
Question 2:
Aleonysh [2.5K]
15 minutes each day.
8 0
3 years ago
Read 2 more answers
Find the prime factorization of 30
sattari [20]

Let us start dividing 30 by small prime numbers in increasing order .

the smallest prime number we use is 2

Let's divide 30 by 2 quotient is 15

so we get : 30 = 2* 15

15 is not a prime number , it can be factorized further .

now we start dividing 15

2 can not divide 15 so we move to next prime number that is 3

can 3 divide 15? yes .

we get a quotient 5

so 30 is now : 2* 15 = 2* 3*5

now we have to work on 5 but 5 is a prime number so we stop here .

the prime factorization of 30 is : 2* 3* 5

Answer : 2 *3*5

5 0
3 years ago
Read 2 more answers
Solve for B - PLEASE HELP IMMA DIE
Marta_Voda [28]
First, you would have to add d to both sides to get rid of it
x+d=ab+c/b
Then you would multiply b by both sides to get rid of the b in the denominator
x+d(b)=ab+c
After that, you would subtract c from both sides
x+d(b)-c=ab
Then you would divide both sides by a
x+d(b)-c=b
------------
      a

6 0
3 years ago
What is the value of x in a 45-45-90 triangle and the hypotenuse is 4?
Temka [501]

9514 1404 393

Answer:

  x = 2√2 ≈ 2.83

Step-by-step explanation:

The side length of an isosceles right triangle is 1/√2 times the hypotenuse length. If x is the side length, then ...

  x = 4/√2 = 4(√2)/2

  x = 2√2 ≈ 2.83

__

You have not specified the form of the answer. Sometimes an exact answer (2√2) is required. Sometimes the answer is required to be rounded to tenths or hundredths.

3 0
3 years ago
Other questions:
  • suppose an amount increase by 50%, then decrease by 50%. will the amount after the decrease be the same as the original amount
    12·1 answer
  • What's bigger 0.60 or 0.600
    13·2 answers
  • In the image below, DE || BC. Find the measure of EC. Set up a proportion and solve for the measure. Show your work and label yo
    15·1 answer
  • If f (x) = StartRoot one-half x minus 10 EndRoot + 3, which inequality can be used to find the domain of f(x)?
    9·2 answers
  • A farmer has 500 acres of arable land on which he wants to plant potatoes and corn. The farmer has $40,000 available for plantin
    15·1 answer
  • What is [ 4 × ( 4 + 3 ) ] − 3
    5·1 answer
  • Can y’all help me find the width
    14·1 answer
  • AYUDA URGENTE POR FAVOR
    13·1 answer
  • Find the distance between the points (-1,-8) and (-3,-2). Round your answer to the nearest hundredth.
    9·1 answer
  • 1/(√2+√3)-√4 pls explain i dont understand
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!