The probabilities of the top-selling menu item in four towns' restaurants being different types of vegetarian and nonvegetarian sandwiches are given in the table. If the restaurant in town 4 has a nonvegetarian sandwich as its top-selling menu item, what is the probability that it is a ham sandwich?
Town Vegetable Sandwich Nonvegetarian Chicken Sandwich Nonvegetarian Ham Sandwich Nonvegetarian Bacon Sandwich Nonvegetarian Tuna Sandwich
Town 1 6.63% 5.42% 7.05% 6.19% 5.91%
Town 2 6.84% 7.11% 6.89% 5.69% 6.58%
Town 3 5.97% 6.63% 5.72% 5.86% 5.79%
Town 4 6.54% 5.86% 6.24% 6.24% 6.33%
Total 6.24% 5.77% 6.03% 5.92% 6.27%

Respuesta :

Answer:

The probability that the top selling non-veg. sandwich is a ham sandwich is 25.29%.


Step-by-step explanation:

The probability that the restaurant in town 4 has a non-vegetarian sandwich as its top selling menu item is the sum of the probabilities of all the non-vegetarian sandwiches  i.e.,

= 5.86% + 6.24% + 6.24% + 6.33% = 24.67%

The probability that the restaurant in town 4 has ham sandwich as its top selling menu item is 6.24%

Therefore, the probability that the restaurant in town 4 has a non-vegetarian sandwich as its top-selling menu item which is a ham sandwich is given by [tex]\frac{6.24}{24.67}[/tex] = 0.2529 = 25.29%

The probability of the restaurant in town 4 having a sandwich as it is top selling menu item is 6.24% is 0.2529.

What is the probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

How to calculate the probability?

The restaurant in town 4 has a nonvegetarian sandwich as its top-selling menu item is the sum of probabilities of all nonvegetarian sandwiches that is

= 5.86% + 6.54% + 6.24% + 6.33% = 24.67%

The probability of the restaurant in town 4 having a sandwich as it is top selling menu item is 6.24%.

Probability is given by

[tex]\rm Probability = \dfrac{0.0624}{0.2467}\\\\Probability = 0.2529[/tex]

So the probability is 0.2529.

More about the probability link is given below.

https://brainly.com/question/795909

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