A s nall hotel ia popular resort a ea has 30 rooms. The hotel manager estimates

Question

A s nall hotel ia popular resort a ea has 30 rooms. The hotel manager estimates that 14% of all confirmed rese asons a e no-shows Consecuent y the hoteaccepts confirmed reservations for as many as 35 oomslf more confrmed reservatons arrive tan there are rooms, te overbooked guests aro sent to another hotel and given a complementary dnner. Corpoto parts a trughed w assuming tat to hotel currently has 35 contrmed neservations. a. Find the probablity that no customers will be sent to another hotel The probability is (Round to four decimal places as needed.)

Explanation / Answer

Ans:

Binomial distribution:

n=35

Probability of no show=0.14

Probability of show up=0.86

There should be less than equal to 30 customers who show up for any customes not being sent to another hotel.

P(no customers are sent to another hotel)=P(k<=30)=BINOMDIST(30,35,0.86,TRUE)=0.5540

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