Use the data in the following table, which lists drive-thru order accuracy at po

Question

Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table Drive-thru Restaurant 129 Order Accurate Order Not Accurate39 329 273 235 38 If two orders are selected, find the probability that they are both from Restaurant D 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? a. Assume that the selections are made with replacement. Are the events independent? The probability of getting two orders from Restaurant D isThe eventsindependent because choosing the first ord (Round to four decimal places as needed.) er the choice of the second order a.)are b.) are not a.) affects b.) does not affect b. Assume that the selections are made without replacement. Are the events independent? The probability of getting two orders from Restaurant D isThe events Round to four decimal places as needed) Vindependent because choosing the first order b.) are not the choice of the second order a.) are a.) affects b.)does not affect

Explanation / Answer

Probability = Favourable outcomes/Total outcomes

The Total number of orders (Total Outcomes) = 329 + 39 + 273 + 55 + 235 + 38 + 129 + 17 = 1115

Total Orders from Restaurant D (Favourable outcomes) = 146

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(a) Probability that the 1st order is from D = 146/1115

Since we have replaced it, therefore the probability that the second order is also from D = 146/1115

Therefore the probability of getting two orders from restaurant D = (146/1115) * (146/1115) = 0.0171.The events are independent because choosing the first order does not affect the choice of the second order.

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(b) Probability that the 1st order is from D = 146/1115

Since we have not replaced it, therefore the probability that the second order is also from D = 145/1114

Therefore the probability of getting two orders from restaurant D = (146/1115) * (145/1114) = 0.0170.The events are not independent because choosing the first order affects the choice of the second order.

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