Choose the one alternative that best completes the statement or answers the question. Find the probability. The table describes the smoking habits of a group of asthma sufferers.
|Non|Light|Heavy|Total
Men| 311| 82 | 74 |467
Women| 329| 68 | 60 |457
Total| 640|150 |130 |924
If a woman is randomly selected, find the probability that she is a nonsmoker.
The number in the women, nonsmoker cell divided by the grand total.
To find the probability that a woman selected randomly is a nonsmoker, we need to find the number of nonsmoking women and divide it by the total number of women.
According to the table, the number of nonsmoking women is 329. The total number of women is 457.
So, the probability that a randomly selected woman is a nonsmoker is:
Probability = Number of nonsmoking women / Total number of women
= 329 / 457
≈ 0.719
Therefore, the probability that a randomly selected woman is a nonsmoker is approximately 0.719 or 71.9%.