Question

suppose that patrons of a restaurant were asked whether they preferred water or whether they preferred soda. 70% said that they preferred water. 60% of the patrons were male. 80% of the males preferred water. Draw a decision tree. The probability a randomly selected patron prefers soda is? the probability a randomly selected patron is female? The probability a randomly selected patron is a female who prefers water?

Answer 1

The probability a randomly selected patron prefers soda is 0.3; the probability a randomly selected patron is female is 0.4; the probability a randomly selected patron is a female who prefers water is 0.28.

Step-by-step explanation:

To determine the probability that a randomly selected patron prefers soda, we need to subtract the percentage of patrons who prefer water from 1. So the probability of preferring soda is 1 - 0.7 = 0.3.

To find the probability that a randomly selected patron is female, we multiply the percentage of female patrons by the total percentage of patrons. So the probability is 0.4 * 1 = 0.4.

To calculate the probability that a randomly selected patron is a female who prefers water, we multiply the probability of preferring water by the probability of being female. This gives us 0.7 * 0.4 = 0.28.