A person is selected at random from a population that has the following characteristics:
65% of the people are men; the others are women
12% of the men are smokers
7% of the women are smokers
1. Find the chance that the selected person is a non-smoker, given that the person is a man.
(Decimal answer, please, correct to four decimal places.)
2. Find the chance that the selected person is a woman who smokes.
3. Find the chance that the selected person is a smoker.
4. Given that the selected person is a smoker, what is the chance that the person is a woman?
5. Find the chance that the selected person is a man or a non-smoker.
2. (0,35*0.07)=0.0245
3. (0,12*0,65)+(0,35*0,07)=0.1025
1. .65 * (1-.12) = ?
2, 3. Right!
4. .07 * .35 = ?
Either-or probabilities are found by adding the individual probabilities.
5. .65 + (.88*.65)(.93 *.35) = ?
Dear PsyDAG, sorry, but 1 and 4 and 5 are incorrect, did you tried the answers and fond that they are correct?
4. P=(0.07*0.35)/(0.12*.65)+(0.07*0.35)=0.2390 this is the correct
A person is selected at random from a population that has the following characteristics:
65% of the people are men; the others are women
12% of the men are smokers
7% of the women are smokers
1. Find the chance that the selected person is a non-smoker, given that the person is a man.
You know Amman, you could always try to answer these yourself. Does the certificate mean so much to you? I think it's funny. Cheating to get a worthless bit of paper. More fool you and those who help you.
To find the answers to the given questions, we can use conditional probability. Conditional probability is the probability of an event occurring given that another event has already occurred.
Let's solve each question step by step:
1. Find the chance that the selected person is a non-smoker, given that the person is a man.
We are given that 65% of the people are men and 12% of men are smokers. Therefore, the chance that a man is a non-smoker would be 100% - 12% = 88%. So the chance that the selected person is a non-smoker given that the person is a man is 88%.
2. Find the chance that the selected person is a woman who smokes.
We are given that 65% of the people are men, which means 35% are women. Additionally, 7% of women are smokers. Therefore, the chance that a woman is a smoker would be 35% * 7% = 2.45%. So the chance that the selected person is a woman who smokes is 2.45%.
3. Find the chance that the selected person is a smoker.
To find the chance that the selected person is a smoker, we need to consider both men and women smokers. 12% of men are smokers and 7% of women are smokers, so the chance of a man or woman being a smoker would be 65% * 12% + 35% * 7% = 9.2% + 2.45% = 11.65%. So the chance that the selected person is a smoker is 11.65%.
4. Given that the selected person is a smoker, what is the chance that the person is a woman?
To find the chance that the selected person is a woman given that the person is a smoker, we need to calculate the probability of a woman being a smoker and divide it by the probability of a person being a smoker. From the previous calculations, we know that the chance of a woman being a smoker is 2.45% and the chance of a person being a smoker is 11.65%. Therefore, the chances of the selected person being a woman, given that the person is a smoker, would be (2.45% / 11.65%) = 0.2100, which translates to 21.00% when rounded to two decimal places.
5. Find the chance that the selected person is a man or a non-smoker.
To find the chance that the selected person is a man or a non-smoker, we need to calculate the probability of a person being a man and the probability of a person being a non-smoker separately and then sum them up. The chance of a person being a man is 65%, as given, and the chance of a person being a non-smoker is the chance of a non-smoking man, which we calculated as 88%. Therefore, the chances of the selected person being a man or a non-smoker would be 65% + 88% = 153%, which translates to 1.53 when expressed as a decimal.
Note: Generally, probabilities should not exceed 1 or 100%, so it is likely that there is an error in the provided information or calculation. In such cases, you may need to re-evaluate the numbers given.