Question

In: Statistics and Probability

1-Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food...

1-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  /  A  /  B  /  C  /  D
Order Accurate         / 12 / 23 / 11 / 34
Order Not Accurate     / 32 / 34 / 33 / 9

If one order is​ selected, find the probability of getting an order from Restaurant C or an order that is accurate. Express your answer as a percentage rounded to the nearest hundredth.

2-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  /  A  /  B  /  C  /  D
Order Accurate         / 46 / 5 / 12 / 32
Order Not Accurate     / 20 / 46 / 37 / 12

If three different orders are​ selected, find the probability that they are all from restaurant B. Assume that the orders are selected without replacement. Express your answer as a percentage rounded to the nearest hundredth.

Solutions

Expert Solution

1)

A B C D Total
accurate 12 23 11 34 80
not accurate 32 34 33 9 108
Total 44 57 44 43 188

probability of getting an order from Restaurant C or an order that is accurate =(113/188)=0.6011~ =60.11%

2)

A B C D Total
accurate 46 5 12 32 95
not accurate 20 46 37 12 115
Total 66 51 49 44 210

P(all from restaurant B) =(51*50*49)/(210*209*208)=0.0137 ~1.37%


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