Find area and perimeter of it

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 <em>X</em> 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

ꜱᴇᴇᴍꜱ ᴇᴀꜱʏ ᴊᴜꜱᴛ ᴄᴀɴ’ᴛ ꜰɪɢᴜʀᴇ ɪᴛ ᴏᴜᴛ

amid [387]

Answer:

123°

Step-by-step explanation:

2z +9 = x

y = z

2Z +9 + X + z +Y = 360

Substitute for Z

2Z +9 + 2z +9 + z + z = 360

6z +18 = 360

6Z = 342

Z = 57

2(57) +9 = 123

X = 123

3 0

3 years ago

Read 2 more answers

If the area of the rectangle is five times the area of the triangle work out the width of the rectangle please help !

Mariulka [41]

Answer:

Insufficient Data

Step-by-step explanation:

Please correct the problem. Given details are not enough or/and precise to suggest solution

6 0

3 years ago

LAST QUESTION PLEASE HELP IF YOU CAN FOR 11 POINTS AND BRAINLIEST + THANK YOU

jekas [21]

Answer:

see attachment

Step-by-step explanation:

The y-intercept is +4 for both lines, so only the third selection is appropriate. The lines appear to have a slope of magnitude less than 1, so ±1/2 seems about right.

(We expect at least one of the inequality symbols to include the "or equal to" case so there is no hole at x=0. Alas, it seems the third answer choice doesn't do that.)