Guests of a fancy dinner party were asked if they were prefer the steak dinner or the lobster dinner, and if they would prefer to sit inside or outside. The results from their responses are below. Inside Outside Total Steak 29 32 61 Lobster 20 22 42 Total 49 54 103 Answer the questions below. Enter the probabilities as fractions or round to 4 decimal places. a. What is the probability that a guest selected at random requested to sit inside and outside? b. What is the probability that a guest selected at random ordered steak and lobster? c. What can we say about the pair of events from part (a) and the pair of events from part (b)? the events are mutually exclusive the events are dependent the events are independent

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Guests of a fancy dinner party were asked if they were prefer the steak dinner or the lobster dinner, and if
they would prefer to sit inside or outside. The results from their responses are below.
Inside
Outside
Total
Steak
29
32
61
Lobster
20
22
42
Total
49
54
103
Answer the questions below. Enter the probabilities as fractions or round to 4 decimal places.
a. What is the probability that a guest selected at random requested to sit inside and outside?
b. What is the probability that a guest selected at random ordered steak and lobster?
c. What can we say about the pair of events from part (a) and the pair of events from part (b)?
the events are mutually exclusive
the events are dependent
the events are independent
Transcribed Image Text:Guests of a fancy dinner party were asked if they were prefer the steak dinner or the lobster dinner, and if they would prefer to sit inside or outside. The results from their responses are below. Inside Outside Total Steak 29 32 61 Lobster 20 22 42 Total 49 54 103 Answer the questions below. Enter the probabilities as fractions or round to 4 decimal places. a. What is the probability that a guest selected at random requested to sit inside and outside? b. What is the probability that a guest selected at random ordered steak and lobster? c. What can we say about the pair of events from part (a) and the pair of events from part (b)? the events are mutually exclusive the events are dependent the events are independent
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