Find the sum of the first 6 terms of the following series, to the nearest

An airline charges the following baggage fees: $25 for the first bag and $35 for the second. Suppose 54% of passengers have no c

Triss [41]

Answer:

(a) The average baggage-related revenue per passenger is $15.70.

(b) The standard deviation of baggage-related revenue is $19.95.

(c) The expected revenue for 120 passengers is $1,884.

Step-by-step explanation:

Let the random variable X represent the baggage-related revenue per passenger.

It is provided that the baggage fees is $25 for the first bag and $35 for the second.

The probability model is:

X : 0 25 60

P (X) : 0.54 0.34 0.12

(a)

Compute the average baggage-related revenue per passenger as follows:

$E(X)=\sum {X\times P (X)}$

$=(0\times 0.54)+(25\times 0.34)+(60\times 0.12)\\\\=0+8.50+7.20\\\\=15.70$

Thus, the average baggage-related revenue per passenger is $15.70.

(b)

Compute the standard deviation of baggage-related revenue as follows:

$E (X^{2})=\sum X^{2}\times P(X)}\\\\=(0^{2}\times 0.54)+(25^{2}\times 0.34)+(60^{2}\times 0.12)\\\\=0+212.50+432\\\\=644.5\\$

$SD(X)=\sqrt{E(X^{2})-(E(X))^{2}}$

$=\sqrt{644.5-(15.7)^{2}}\\\\=19.950188\\\\\approx 19.95$

Thus, the standard deviation of baggage-related revenue is $19.95.

(c)

Compute the expected revenue for 120 passengers as follows:

$E(R)=n\times E(X)$

$=120\times 15.7\\\\=1884$

Thus, the expected revenue for 120 passengers is $1,884.

8 0

4 years ago

Please help. What is the answer?

Gala2k [10]

Answer:

ASA

Step-by-step explanation:

The longest side is the same (denoted by the small line).

Assuming the red dot and the x mean the angles are the same, the triangles share two common angles.

As such, the triangles share one common side and two common angles. Hence ASA

6 0

3 years ago

Solve for the variable a in this equation. c = 8πab

Valentin [98]

A = c/8πb
divide everything other than a from the right side of the equation to get your answer

6 0

3 years ago

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This is suppose to be a mathematical function I need to enter into excel. "Enter a formula in cell B10 to return a value of 3500

sesenic [268]

The syntax for the IF statement is as follows:
=IF(condition, value if true, value if false)

therefore, we can enter the information from the problem:

=IF($B$9>=470000,35000,1000)

7 0

4 years ago

In 6x^4-3y+5x^4 what are the like terms in the expression

andrezito [222]

The like terms in this expression are 6x^4 & 5x^4.

5 0

4 years ago

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