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
Alex73 [517]
3 years ago
11

A recent survey by the cancer society has shown that the probability that someone is a smoker is P(S)=0.19. They have also deter

mined that the probability that someone has lung cancer, given that they are a smoker is P(LC|S)=0.158. What is the probability (rounded to the nearest hundredth) that a random person is a smoker and has lung cancer P(S∩LC) ?
0.35


0.03


0.02


0.83
Mathematics
2 answers:
KatRina [158]3 years ago
5 0

<u>Answer:</u>

P (S∩LC) = 0.03

<u>Step-by-step explanation:</u>

It is known that the probability if someone is a smoker is P(S)=0.19 and the probability that someone has lung cancer, given that they are also smoker is P(LC|S)=0.158.

So using the above information, we are to find the probability hat a random person is a smoker and has lung cancer P(S∩LC).

P (LC|S) = P (S∩LC) / P (S)

Substituting the given values to get:

0.158 = P(S∩LC) / 0.19

P (S∩LC) = 0.158 × 0.19 = 0.03

Mila [183]3 years ago
3 0

Answer:

0.03

Step-by-step explanation:

The given question uses the concept of Conditional Probability. The general formula of conditional probability in terms of two events A and B is:

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

In the given case, the two events are:

LC = Event that someone has lung cancer

S = Event that someone is smoker

The formula in terms of these events will be:

P(LC | S)=\frac{P(S \cap LC)}{P(S)}

Using the given values, we can find the probability that a random person is a smoker and has lung cancer P(S∩LC).

0.158=\frac{P(S \cap LC)}{0.19} \\\\ P(S \cap LC) = 0.158 \times 0.19\\\\ P(S \cap LC) = 0.03

Therefore, the probability (rounded to the nearest hundredth) that a random person is a smoker and has lung cancer P(S ∩ LC) is 0.03

You might be interested in
Can someone help me please
soldier1979 [14.2K]

Step-by-step explanation:

c >= 2

that means any value of c greater or equal to 2 is a valid solution. so, yes, 2 is a solution for this.

c < 2

that means any value of c smaller than 2 is a valid solution. so, no, 2 is not smaller than 2, so it is not a solution.

c < 3

that means any value of c smaller than 3 is a valid solution. so, yes, 2 is smaller than 3, so 2 is a solution.

3 < c

that means any value of c, for that 3 is smaller, is a valid solution. our in other words, any value for c larger than 3 is a valid solution. so, no, 2 is not larger than 3, so it is not a solution.

-8 < c

that means any value of c, for that -8 is smaller, is a valid solution. our in other words, any value for c larger than -8 is a valid solution. so, yes, 2 is larger than -8, so it is a solution.

5 0
2 years ago
Given the point (-7, 9), what would the coordinates be after that point was translated 4 units up? ( _ , _ )
Alex787 [66]
The Answer = (-7, 13)
6 0
3 years ago
Read 2 more answers
The<br> numbers are {0, 1, 2, 3, 4, ...}.<br> whole<br> rational<br> natural<br> real<br> integer
Brilliant_brown [7]

Answer:

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4…

Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…

Step-by-step explanation:

7 0
3 years ago
5. what is the theoretical probability that a coin toss results in one head and one tail showing?
Alenkasestr [34]
There are two sides (heads and tails). So one head would be 1/2, and one tail would also be 1/2.
4 0
2 years ago
Wuts the solution too this problem... <br> 6a+7=13+7a
Mila [183]

Answer:

a= -6

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • 1/2 spoon of sugar for 2 cups , how many cups for 2/3 sugar of spoon? Explain
    7·2 answers
  • Please please help me out!!!!!!!!!!!!!!!!!!!!!!!!!!
    12·2 answers
  • Need help w number 1
    5·1 answer
  • How do you write 7231÷24
    14·2 answers
  • My new total was $60 after the discount and I still had to pay 5% for sales tax. What is the final total?
    8·2 answers
  • Consider the following equation.
    9·1 answer
  • 1. Find the area of each of the composite figures: <br> a) <br> 6 m <br> 8 m <br> 10 m
    12·2 answers
  • Which three pieces of information contribute the most to your credit score?
    5·1 answer
  • Plz help me 25y−4+7−910y =
    7·2 answers
  • Express ratio 3.5:14 as 1:n
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!