What is the estimated probability that a randomly selected waiter/waitress drew a happy face and received a large tip? 0.3146 What is the estimated probability that a randomly selected waiter/waitress did not draw a happy face and received a large tip? 0.3933 What is the estimated probability that a randomly selected waiter/waitress received a large tip? 0.7079
The following table is the estimated probabilities of getting a large or small tip based on drawing a happy face on the check. I've written what I think the answers are after each question in bold font. Can you look at this and tell me if I am doing the problems correctly, and if not, show me the right way? Thanks.
HappyFace None
(Small) LessThan20% 0.1910 0.1011
(lLarge) MoreThan20% 0.3146 0.3933
What is the estimated
tip? 0.3146
What is the estimated probability that a randomly selected waiter/waitress did not draw a happy
face and received a large tip? 0.3933
What is the estimated probability that a randomly selected waiter/waitress received a large
tip? 0.7079
Now consider only the waiters/waitresses who did not draw happy faces. What are the
conditional probabilities of receiving a large tip or small tip given one did not draw a happy
face? large tip: 0.7955 small tip: 0.2045 (should these be separate?)
Now consider only the waiters/waitresses who did draw happy faces. What are the conditional
probabilities of receiving a large tip or small tip given one did draw a happy face? large tip: 0.6222 small tip: 0.3778
Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a time so we are answering the first three as you have not mentioned which of these you are looking for. Please re-submit the question separately for the remaining sub-parts.
Given data:
| HappyFace | None | |
| Small | 0.191 | 0.1011 |
| Large | 0.3146 | 0.3933 |
Step by step
Solved in 4 steps
I don't have a question about the solution, I'd already answered them correctly, as you can see in my original question. Will you please now answer the last two about conditional
Now consider only the waiters/waitresses who did not draw happy faces. What are the conditional probabilities of receiving a large tip or small tip given one did not draw a happy face? large tip: 0.7955 small tip: 0.2045 (should these be separate?)
Now consider only the waiters/waitresses who did draw happy faces. What are the conditional probabilities of receiving a large tip or small tip given one did draw a happy face? large tip: 0.6222 small tip: 0.3778
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