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
jeka57 [31]
3 years ago
11

The following lists the joint probabilities associated with smoking and lung disease among 60-to-65 year-old men. Has Lung Disea

se/smoker 0.1, No Lung Disease/Smoker 0.17, Lung Disease/Nonsmoker 0.03, No Lung Disease/Nonsmoker 0.7. One 60-to-65 year old man is selected at random. What is the probability of the following event: He has lung disease given that he does not smoke?
Mathematics
1 answer:
Anna71 [15]3 years ago
5 0

Answer:

4.11% probability that he has lung disease given that he does not smoke

Step-by-step explanation:

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

Event A: Does not smoke

Event B: Lung disease

Lung Disease/Nonsmoker 0.03

This means that P(A \cap B) = 0.03

Lung Disease/Nonsmoker 0.03

No Lung Disease/Nonsmoker 0.7

This means that P(A) = 0.03 + 0.7 = 0.73

What is the probability of the following event: He has lung disease given that he does not smoke?

P(B|A) = \frac{0.03}{0.73} = 0.0411

4.11% probability that he has lung disease given that he does not smoke

You might be interested in
Cos 12° then sin = ?
d1i1m1o1n [39]
Cos 12 = sin (90 - 12) = sin 78
5 0
3 years ago
If a right triangle's hypotenuse is 17 units long, and one of its legs is 15 units long, how long is the other leg?
Vesna [10]

Answer:

8 units

Step-by-step explanation:

Hello!

So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that  c = \sqrt{{a}^2 + b^{2} }, where <em>c</em> is the hypotenuse and <em>a</em> and <em>b </em>are the legs of the triangle.

So, from the problem,  if <em>c </em>= 17 and <em>a </em> = 15, then, we're solving for <em>b</em>. So we'll rewrite the theorem to solve for <em>b</em>.

{c}^2 = {a}^2+{b}^2\\{c}^2-{a}^2={b}^2\\{b} = \sqrt{{c}^2-{a}^2}

Okay, so now we have isolated the theorem for <em>b. Let's </em>plug in our values for <em>c </em>and <em>a</em>.

b = \sqrt{{17}^2-{15}^2}\\b = \sqrt{289-225}\\b = \sqrt{64}\\b = 8

So, using the theorem, we found <em>b</em> = 8. To check our work, let's plug in <em>b</em> and <em>a</em> and solve for <em>c.</em>

<em />c = \sqrt{{a}^2+{b}^2}}\\c = \sqrt{{15}^2+{8}^2}\\c = \sqrt{225+64}\\c = \sqrt{289}\\c = 17\\<em />

So, we got our hypotenuse to equal 17 units, which is correct! So, our <em>b</em> is correct too. Awesome

7 0
3 years ago
I need a girlfriend a smart one to?
lozanna [386]

Answer:

Maby u don't have one is because, you ask for one and not let yourself get to know them. You just want one.

8 0
4 years ago
Read 2 more answers
PLS ANSWER QUICKLY!!
olganol [36]

Answer:

EF=6

Step-by-step explanation:

E is the midpoint, so DE = EF

DE = 15-3x

EF = x+ 3

Since DE = EF,

15 - 3x = x + 3

-4x = -12

x = 3

If x = 3,

DE = 15 - 3*3,   15 - 9 = 6

EF = x+ 3, so EF = 3 + 3 = 6

6 0
3 years ago
Andrew is pouring a square shaped patio and needs 529 square feet of concrete what is the length of each side of the patio? Expl
LekaFEV [45]

Answer:

The answer is 23 feet on each side

Step-by-step explanation:

Sqrt of 529= 23

Hope it works

4 0
3 years ago
Other questions:
  • What is the prime factorization of 135?<br><br> 3 × 53<br> 33 × 5<br> 32 × 52<br> 3 × 5 × 9
    11·2 answers
  • Can someone please help me with this
    15·1 answer
  • Solve on the interval [0,2pi)<br>1+ sin 0=1/2​
    15·1 answer
  • HELP MEEEEEE PICKING BRAINLIEST!!!
    13·1 answer
  • I really need help with 4 if anyone knows it please help im begging :(
    6·2 answers
  • Help me and thx alot
    8·1 answer
  • Which value, when placed in the box, would result ina system of equations with infinitely many solutions?
    12·1 answer
  • Use all 4 operations and at least one exponent to write and expression that has a value of 10
    9·1 answer
  • According to the line plot, how many apples weigh 5/8 of a pound?
    11·2 answers
  • The answers are not right and there not answering quickly there taking a long time to answer the question please what is the ans
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!