Suppose 520 Chicago residents who have dined at Charlie Trotter's Restaurant in Chicago are asked to rate the restaurant according to price (medium or high) and food (1, 2, 3, or 4 stars). The results of this survey are presented in the table below. Use the table to answer all 3 questions 1 star 2 stars 3 stars 4 stars Total Medium 101 96 115 104 416 High 33 5 40 26 104 Total 134 101 155 130 520 1. Suppose a customer is selected at random. What is the probability that they rate the price of the restaurant as High or give the food 4 stars? [ Select] 2. You could determine if the events "a randomly selected customer rated the price as high" and "a randomly selected customer gave food 4 stars" were independent by comparing the P(High | 4 stars) with which of the following probabilities? [ Select ] 3. Based on all your calculations, the events "a randomly selected customer rated the price as high" and "a randomly selected customer gave food 4 stars" would be considered [ Select ]
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Do question 2
Here we've to find P(High/4stars)
So given that grad total= 520
If High and 4 stars are independent then
P(High/4stars)=P(High n 4stars)/P(4 stars)
= P(high)*P(4stars)/P(4 stars)
= P(high)
Total "high"= 104
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