(b) The expected revenue under these conditions is E(X) = $9184. Interpret this value. %3D
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
![flights by selling tickets to more passengers than a plane can accommodate. On a particular route, the plane
13. Knowing that some passengers with tickets won't show up for a flight, airlines often "overbook" their
holds 20 passengers and only 80% of ticket holders show up. For flights on this route, the airline sells 24
holders with a voucher for $1000. Assume that ticket holders show up independently of each other and that al
tickets for $400 each. If more than 20 ticket holders show up, the airline compensates the overbooked ticket
24 tickets are sold.
ticket holders that show up.
Number of ticket
holders who show up
17
18
19
20
21
22
23
24
9600
9600
0.0998 0.1552 | 0.1960 | 0.1960 | 0.1493 0.0815
9600
9600
E X= revenue (dollars)
P(X)
8600
7600
6600 5600
(a) Calculate the probability that exactly 23 of the ticket holders show up
(b) The expected revenue under these conditions is E(X) = $9184. Interpret this value.
(c) How much additional revenue does the airline expect to make by selling 24 tickets rather than 20?
(d) Explain how you would determine the ideal number of tickets to sell if the goal is to maximize expected
revenue.
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(13 b )
X: revenue based on the no of people show up
E(X)=$9184
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