What is the probability that a plane with maximum

Assignment Help Applied Statistics

Reference no: EM13712871

On any given flight, an airline's goal is to fill the plane as much as possible without overbooking. If, on average, 10% of customers cancel their tickets, all independently of each other, what is the probability that a particular flight will be overbooked if the airline sells 320 tickets for a plane that has a maximum capacity of 300 people? What is the probability that a plane with maximum capacity 150 people will be overbooked if the airline sells 160 tickets? Express the answers in terms of the standard normal cumulative distribution function, Φ(x). (Hint. Consider the probability p of a success to be the probability that a given person actually shows up for the flight. From this, deduce what the effective mean and standard deviation are for the number of successes in the case when n = 320 or when n = 160, respectively.)

Reference no: EM13712871

Questions Cloud

Define disintegrations per minute per gram of carbon : How old is the skull? (Assume that living organisms have a carbon-14 decay rate of 15.3 dis/min?gC and that carbon-14 has a half-life of 5730 yr.) An ancient skull has a carbon-14 decay rate of 0.80 disintegrations per minute per gram of carbon (0...

Define how old is the rock : An igneous rock contains a Pb-206/U-238 mass ratio of 0.372. How old is the rock. (U?238 decays into Pb?206 with a half-life of 4.50×109 yr.)

Do not provide customers with substandard product : To ensure that do not provide customers with substandard product, the local steel mill has instigated a quality control program using flame AAS. two of the trace elements they wish to monitor, Al and Ti, form stable oxides. Is this a potential pro..

Define disintegrations per minute per gram of carbon : An artifact has a carbon-14 decay rate of 9.53 disintegrations per minute per gram of carbon (9.53 dis/minxgC). Living organisms have carbon-14 decay rate of 15.3 dis/minxgC. How old is the artifact?

What is the probability that a plane with maximum : On any given flight, an airline's goal is to fill the plane as much as possible without overbooking. If, on average, 10% of customers cancel their tickets, all independently of each other, what is the probability that a particular flight will be o..

Explain what kelvin temp will the vapor pressure : A certain substance has a heat of vaporization of 59.81 kj/mol. At what kelvin temp will the vapor pressure be 4.50 times greater than it was at 315K

What is the name of the alcohol that would produce butene : What is the name of the alcohol that would produce 2,3-dimethyl-2-butene through dehydration

Explain what is the van''t hoff factor of a compound : What is the van't hoff factor of a compound that has a osmotic pressure of 2056 torr at 25 degrees C and a concentration of 0.1522M

Prepare a solution with a concentration of 3.854 x10^4 ppm : What mass (in grams) of glucose C6H12O6, must be dissolved in 0.1457 kg of water to prepare a solution with a concentration of 3.854 x10^4 ppm

User Account

All Pages