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Use the data Ihe fallowing table , which lists drive-thru arer accuracy at popular fast food chains. Assume that orders are randomly selected from thosc[ includedta...

Question

Use the data Ihe fallowing table , which lists drive-thru arer accuracy at popular fast food chains. Assume that orders are randomly selected from thosc[ includedtable Drive-thru RestaurantOrder Accurate Order Not Accurate332270242140If two orders are selected, find the probability that they are both accurate Complete parts (a) ano (pllne OwAssume that the selections are made With replacement Are the events independent?The probability The events independent, (Do not round until the final answer

Use the data Ihe fallowing table , which lists drive-thru arer accuracy at popular fast food chains. Assume that orders are randomly selected from thosc[ included table Drive-thru Restaurant Order Accurate Order Not Accurate 332 270 242 140 If two orders are selected, find the probability that they are both accurate Complete parts (a) ano (pllne Ow Assume that the selections are made With replacement Are the events independent? The probability The events independent, (Do not round until the final answer Round four decimal places as needed.)



Answers

In Exercises $9-20,$ use the data in the following table, which lists drive-thru order accuracy at popular fast food chains (data from a QSR Drive-Thru Study). Assume that orders are randomly selected from those included in the table. (TABLE CANNOT COPY) Fast Food Drive-Thru Accuracy If two orders are selected, find the probability that both of them are not accurate. a. Assume that the selections are made with replacement. Are the events independent? b. Assume that the selections are made without replacement. Are the events independent?

Now this question says, If two orders are selected, find the probability that they are both from Burger King. If two orders are selected, we got to find the probability that they're both from Burger King. It's means this this is going to be a numerator to 64 plus 54. This is three and eight 318 upon 111 eight. Now, if they're selected with replacement, this will just be multiplied by its well itself. Which means that this is going to be a square or this is 318 into 318 divided by 1118 divided by 11180 point 080 nine Are these independent? Yes, these two events are independent now. The selections are made without replacement. Now, if the selections are made without replacement, this is going to be 318 by 1118 multiplied by 317 Divided by 1117 318 into 317 Divided by 1118 Developer 1117 This turns out to be 0.807 Are these independent in this case? No, they're not independent.

Now, this question says, if two orders a selected find the probability that they are both accurate, I have to find the probability that both of them are accurate. So these are going to be my quantities in the numerator. The addition of these and these turned out to be 3 29 plus 2 64 plus 2 49 plus 1. 45 this is 9 87 9 87 divided by 1118 Now, if there are two orders and there with replacement, this wanted a value multiplied by itself. 9. 87 by 1118 So this is multiplied by itself and this becomes 0.77930 point 7793 Now these independent yeah, yes, these two events are independent. And similarly, if these elections are made without replacement, if they are made without replacement, this is going to become 96. And this thing over here is going to become 111 seven. And this time they will not be independent. 97 to 96 divided by 1118 divided by 1117 This is 0.7792 This is 0.7792 and they're not independent in this case.

What did this question say? If two orders has selected, find the probability they're both from Taco Bell. If two orders are selected, select the probability that they're both from Taco Bells. All right. In this case, these are the orders from Taco Bells. It is 1 58 1 58 upon 1 58 11118 This is the probability of the first order. I want both of them from Taco Bell's. If I want both of them to be from Taco Bells, I need to multiply this. I need to multiply this by 1 57 upon 1117 Let's see what this is. 1 58 into 1 57 divided by when 11 eight into 1117 and this turns out to be zero point 01986 This is the probability that I want assume that the selections are made with replacement. Are the events independent? Are the events independent if it is done with replacements? Yes, if they are done with replacements, these events are independent. These events will be independent. Assume that the selections are made without replacement. Are they even independent now know if they are made without replacements, then the then the events are not independent. Which was this case, which was this case. This we have calculated without replacement. And if we calculated with replacement, this is just going to be this quantity multiplied by its wealth twice. And in that case, the probability will be. In that case, the probability will be 0.2 close to. Are there any other questions? No. So this is how we go about doing this question.

This time, I want the probability that an order is either from McDonald's or it is accurate. This means I'm the addition of these quantities in the numerator. What does that stand up to be? This turns out to be okay. This turns out to be 1020 divided by 1118 And this is 0.9123 And are these two dis joint events No. Because of this quantity, these are not this joint events.


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