My N anincs sometimas oorbcok flights. Suppose that fer plane with ZO saats. 55

Question

My N anincs sometimas oorbcok flights. Suppose that fer plane with ZO saats. 55 passenges have tickats. Dafin accompanying table. tha random variable y as the number of ticketed passengers who actually show up for the fight. The probability mass function of Yappaars In the 454647 48 49 50 SI 52 535455 p(y) | 0.00 0.10 0.12 0.14 0.20.15 0.06 0.05 0.03 0.02 0.01 a) hat is the probabipty that the night will dCLUmmodele all ticke1ed psss ,"gets who show up? (b) whst is the probebility thet not all ticketed pseners whu show up cer be (c) If you are the first person on the standby list (which meens you will be the first one to qet on the plane if there are any sests available after all ticketed pessengers have been sommodated, what is the probsbility that you will be able to take the fiht? Wht is this probobility if you ore the third person cn the standby list?

Explanation / Answer

a)
Required probability = 0.06 + 0.1 + 0.12 + 0.14 + 0.26 + 0.15
= 0.83

b)
Required probability = 0.06 + 0.05 + 0.03 + 0.02 + 0.01 = 0.17

c)
Required probability = p(51) = 0.06

p(53) = 0.03

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