I want answers to queston 11, 12, 13. Airlines and hotels often grant reservatio

Question

I want answers to queston 11, 12, 13.

Airlines and hotels often grant reservations in excess of capacity to minimize losses due to no-shows. Suppose the records of a hotel show that, on the average, 10% of their prospective guests will not claim their reservation. If the hotel accepts 297 reservations and there are only 280 rooms in the hotel, what is the probability that all guests who arrive to claim a room will receive one? (Round your answer to four decimal places.) (a) Find a z_0 such that P(z > z_0) = 0.9515. () z_0 = (b) Find a z_0 such that p(z > z_0) = 0.2061. () z_0 = Using the table of Areas under the Normal Curve, calculate the area under the standard normal curve to the left of the following. (Enter your answers to four decimal places.) (a) z = 1.9 (b) z = -0.5 (c) z = 1.46 (d) z = -0.48

Explanation / Answer

11. 10% doesn't claim their reservation so p = 0.9

P(All guests will recieve room)

= P(X < 280)

= binomdist(280, 297, 0.9, TRUE)

= 0.9969

12. a) P(z > -1.66) = 0.9515

z0 = - 1.66

b) P(z > 0.82) = 0.2061

z0 = 0.82

13. P(z < 1.9) = 0.9713

P(z < -0.5) = 0.3085

P(z < 1.46) = 0.9279

P(z < -0.48) = 0.3156

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