What is the answer to this problem

If two different people are randomly selected from the 864 subjects, find the probability that they are both heavy smokers. Roun

AlekseyPX

Answer:

P = 0.008908

Step-by-step explanation:

The complete question is:

The table below describes the smoking habits of a group of asthma sufferers

Nonsmokers Light Smoker Heavy smoker Total

Men 303 35 37 375

Women 413 31 45 489

Total 716 66 82 864

If two different people are randomly selected from the 864 subjects, find the probability that they are both heavy smokers.

The number of ways in which we can select x subjects from a group of n subject is given by the combination and it is calculated as:

$nCx=\frac{n!}{x!(n-x)!}$

Now, there are 82C2 ways to select subjects that are both heavy smokers. Because we are going to select 2 subjects from a group of 82 heavy smokers. So, it is calculated as:

$82C2=\frac{82!}{2!(82-2)!}=3321$

At the same way, there are 864C2 ways to select 2 different people from the 864 subjects. It is equal to:

$864C2=\frac{864!}{2!(864-2)!}=372816$

Then, the probability P that two different people from the 864 subjects are both heavy smokers is:

$P=\frac{82C2}{864C2}=\frac{3321}{372816}=0.008908$

4 0

3 years ago

Help me to solve this please

scZoUnD [109]

Answer:

-4/9

Step-by-step explanation:

We first calculate the first bracket.

[2/3-(-4/9)]

= (2/3+4/9) (we cancel out the negatives)

= (6/9+4/9) (common denominator)

= 10/9

Then we convert -2 1/2 into an improper fraction.

-2 1/2

= -5/2

Finally we calculate the division by swapping the numerator and denominator of -5/2.

10/9 / -5/2

= 10/9 * -2/5

= -20/45

= -4/9 (simplify the terms)

3 0

2 years ago

A company that manufactures and sells consumer video cameras sells two versions of their popular hard disk camera, a basic came

saul85 [17]

Answer:

The percentage of customers who buy an extended warranty is 33%.

Step-by-step explanation:

In this problem, we have these following percentages.

35% of the customers select the basic camera.

This also means that:

65% of the customers select the deluxe version. (Since you can buy only two versions of the hard disk camera and the sum of the percentages is 100%).

20% of those who select the basic camera also purchase the extended warranty.

40% of those who select the deluxe version also purchase the extended warranty.

What is the percentage of customers who buy an extened warranty?

$P = P_{1} + P_{2}$

$P_{1}$ is the percentage of those who buy the basic version with the extended warranty. So it is 20% of 35%. So

$P_{1} = 0.20*0.35 = 0.07$

$P_{2}$ is the percentage of those who buy the deluxe version with the extended warranty. So it is 40% of 65%. So

$P_{2} = 0.40*0.65 = 0.26$

$P = P_{1} + P_{2} = 0.07 + 0.26 = 0.33$

The percentage of customers who buy an extended warranty is 33%.

3 0

3 years ago

19 out of the 38 teachers in a school staff meeting were first-year teachers. What percentage of the teachers in the meeting wer

sveticcg [70]

I’m pretty sure it’s 2%

4 0

3 years ago

Please help asap question three#

gavmur [86]

Answer:

I don't know, i know its a parrell structure but the answers i dont know i am just here for the points to beat my friend in a race

Step-by-step explanation:

8 0

3 years ago