In: Statistics and Probability
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.
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%