I have a mid-term coming up on Monday and I am having trouble answering these two questions. I dont understand if I have to use Baes Law or not, so I am a bit confused. If anyone can help, even on only one og the questions, it would be greatly appreciated. Thanks!
1. A restaurant manager classified customers as well dressed, moderately dressed, or poorly dressed, and find 50%, 40%, and 10% respectively of all customers fall into these categories. The manager found that wine was ordered by 70% of the well dressed, by 50% the moderately dressed, and by 30% of the poorly dressed customers. If wine is ordered, what is the probability that the person ordering was well dressed?
2. A home owner has installed a new energy-efficient furnace. It is estimated that, over a year, the new furnace will reduce energy cost by an amount that can be regarded as a random variable with mean $200 and standard deviation $60. Stating the assumptions you need to make, find the mean and standard deviation of the total energy cost reductions over a period of 5 years.
1. A restaurant manager classified customers as well dressed, moderately dressed, or poorly dressed, and find 50%, 40%, and 10% respectively of all customers fall into these categories. The manager found that wine was ordered by 70% of the well dressed, by 50% the moderately dressed, and by 30% of the poorly dressed customers. If wine is ordered, what is the probability that the person ordering was well dressed?
2. A home owner has installed a new energy-efficient furnace. It is estimated that, over a year, the new furnace will reduce energy cost by an amount that can be regarded as a random variable with mean $200 and standard deviation $60. Stating the assumptions you need to make, find the mean and standard deviation of the total energy cost reductions over a period of 5 years.