s do nul appear for the An irpurt linous e cen avcomudsle up to four pesseers on

Question

s do nul appear for the An irpurt linous e cen avcomudsle up to four pesseers on eny uerp The compey will exet a maxiui of six reservations for a rip, end a passener must have d resevation, Fropis recods, 40% uf all thuse makingr trip. Answer the following questions, suming independence wherever appropriate. (Round your answers to three decimal places.) ar six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip? 233 expected umber of available paces when the limcus ne departs? (b) If si reservations are made, what is the e X places fc Suppose uhe probability Ustribution ofthe number or 'eservatiuns rnade is yive" m lhe ducornpenyiriy lable a randcmiy P(e)

Explanation / Answer

b) past record shows that 40% do not turn up =>60% shows up to avail ride.

hence expected no of person among 6 who takes the ride=6*0.6=3.6

as the limousine has 4 seats

expected no of empty seats=4-3.6=0.4<1.

there will be no empty space..

b.X be the rv denotes the no of passengers turns up

clearly X~ Binomial (6,0.6)

p(x=0)=0.004

p(x=1)=0.0364

p(x=2)=0.1382

p(x=3)=0.2764

p(x=4)=0.311

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