Answer:
63% Chance
Step-by-step explanation:
Remember, to find the probability of non smokers, we must find the percentage of both male and female non-smokers, and multiply them together.
So lets take all our data from this word problem first. 101 males are smokers, 909 males are not. 270 females are smokers, 630 are not.
Now, to find the percentage of non-smokers, lets add up the total amout of males, and then divide the amount of non-smokers by that number:
909+10=
1010
Ok now we know the total amount of males. Lets divide the amount of non-smokers my 1010:
909/1010
=
0.9
So this shows you that 90% of males are non-smokers.
Now lets do the same with the females:
630+270
=
900
Ok, now we know the total amount of females. Lets divide the amount of non-smoking females by this number:
630/900
=
0.7
Ok, so now we know that 70% of females are non-smokers.
Here is the final step, multipling the numbers together to find the chances of both genders being non-smokers.(I put the percentages back into decimal form when i multiplied)
0.7x0.9
=
<u>0.63</u>
So now we have our answer. We know that there is a 63% chance that the survey will be about 2 nonsmoking male and females.
Hope this helps!
