solve a and b of this problem a is with replacement, b is without Use the data i

Question

solve a and b of this problem a is with replacement, b is without

Use the data in the following table, which lists drive-thru order accuracy at popular fast tood chains. Assume that orders are randomly selected from those included in the table Drive-thru Restaurant Order Accurate310 280 236 130 Order Not Accurate 39 60 32 19 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? independent because choosing the frst order does not affect the choice of the second order The probablity of getting two orders trom Restaurant D is (Round to four decimal places as needed.) The events are

Explanation / Answer

we have in total no of drive thru restaurent is

= (310 + 39 + 280 + 60 + 236 + 32 + 130 + 19 ) = 1106
getting 2 order from a restaurent is = (1106)^2
getting 2 orders from restaurant D is with replacement is = (149)^2
when a selection is made from restaturant D and replacement to the original place and the selection made again from restaturant D = (149 C 1) * (149 C 1) / (1106 C 1 ) * (1106 C 1 ) = ( 149)^2/(1106)^2 = 0.01814

and the events are independent since chosing the first order does not eeffect the choice of the second order

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