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1 answer:
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Answer:
(a) The probability of overbooking is 0.2135.
(b) The probability that the flight has empty seats is 0.4625.
Step-by-step explanation:
Let the random variable <em>X</em> represent the number of passengers showing up for the flight.
It is provided that a small regional carrier accepted 19 reservations for a particular flight with 17 seats.
Of the 17 seats, 14 reservations went to regular customers who will arrive for the flight.
Number of reservations = 19
Regular customers = 14
Seats available = 17 - 14 = 3
Remaining reservations, n = 19 - 14 = 5
P (A remaining passenger will arrive), <em>p</em> = 0.52
The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 0.52.
(1)
Compute the probability of overbooking as follows:
P (Overbooking occurs) = P(More than 3 shows up for the flight)
Thus, the probability of overbooking is 0.2135.
(2)
Compute the probability that the flight has empty seats as follows:
P (The flight has empty seats) = P (Less than 3 shows up for the flight)
Thus, the probability that the flight has empty seats is 0.4625.
Answer:
2)A plane has length and width.
3)A plane extends infinitely in all directions
5)A plane is a flat surface.
Step-by-step explanation:
We can think of a plane as a line in space with no height, only length and width.
Yes, a plane is a two-dimensional surface, hence it has length and width.
2)A plane has length and width (TRUE)
The plane surface extends infinitely far, therefore it extends infinitely in all direction.
3)A plane extends infinitely in all directions (TRUE)
5)A plane is a flat surface(TRUE)
The correct options are 2,3 and 5.
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