1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lyrx [107]
3 years ago
6

Consider a small ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let X and Y

denote the number of cars and buses, respectively, carried on a single trip. Suppose the joint distribution of X and Y is as given in the table below.
y
p(x,y) 0 1 2
x 0 0.025 0.015 0.010
1 0.050 0.030 0.020
2 0.115 0.075 0.050
3 0.150 0.090 0.060
4 0.100 0.060 0.040
Compute the expected revenue from a single trip. (Round your answer to two decimal places.)
Mathematics
1 answer:
harina [27]3 years ago
5 0

Answer:

Expected revenue from the single trip is $ 13.14

Step-by-step explanation:

                              y

p(x,y)                   0               1                                 2                g(x)

x    0           0.025              0.015                       0.010            0.05

1                  0.050            0.030                        0.020           0.1  

2                   0.115             0.075                        0.050           0.24

3                  0.150              0.090                      0.060             0.3

<u>4                   0.100             0.060                     0.040              0.2 </u>

h(y)              0.325              0.27                       0.18  

E (x+Y) = E(X) +E(Y)

E(X)= ∑ xi g(x)i

       = ( 0*0.05) + (1*0.1) + (2* 0.24) + (3*0.3) + (4*0.2)

        = 0 + 0.1+ 0.48 + 0.9+0.8

        =2.28

E(Y)= ∑yi h(y)

      = (0* 0.325) + (1*0.27) + (2*0.18)    

       = 0 +0.27+ 0.36

        = 0.63

E (x+Y) = E(X) +E(Y)

             = 2.28 + 0.63

                = 2.91

But the equation is 3x+ 10y

E(3x+ 10y)= 3E(x) + 10 E(y)

                   = 3(2.28) + 10 (0.63)

                       = 6.84 +6.3

                         = 13.14

Expected revenue from the single trip is $ 13.14

You might be interested in
Gt6tys56ytujr7dsy6rtuhgjfyhjfvchfgjvcxfdcgfhvn jhmc dghvbdcjghb
Kazeer [188]

Answer:

It is 42=x

Step-by-step explanation:

bruh

5 0
3 years ago
Factor the polynomial:81m+48mn
Anton [14]
To factor this polynomial you will have to first find the GCF of 81 and 48 and its 3.

So then you put 3 out the parentheses. 3(----).

Then you have to see how many times 3 goes into 81m and 48m. It is 27m and 16mn.

So then this is what you get, 3(27m-16mn)

Hope it helps you!!!
 
7 0
3 years ago
Please help!<br> Type the expression as radicals: <br> Q3/2
Vitek1552 [10]
\sqrt{q^3}
8 0
3 years ago
66×10^4 in standard notation
Vera_Pavlovna [14]
660000, just add 4 zeros onto 66.
8 0
3 years ago
What is 12/25​ to a percent.
solmaris [256]

Answer:

48%

Step-by-step explanation

5 0
3 years ago
Read 2 more answers
Other questions:
  • How do I solve -2m=16m-9
    6·2 answers
  • 15 more than half a number is 9
    14·1 answer
  • Vinny is interviewing for a job. he wants his take-home pay to be at least $42,000$42,000. what is the least salary he can earn
    14·2 answers
  • For 33 hrs of work you are paid 252.45 how much would you receive for 36 hours
    12·1 answer
  • EASY MATH PLEASE HELP
    15·1 answer
  • The zoo charges $4 admission fee along with a $2 charge for each exhibit
    12·1 answer
  • Nico did 42 push-ups in 3 minutes.<br><br> What is the unit rate?
    5·2 answers
  • Is x+3=-5y in standard form?
    15·2 answers
  • Mason opens a savings account by making a $165. 85 deposit. Every week, he deposits another $20. 50 in the account. Write an exp
    12·1 answer
  • 1. This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this composite figure? S
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!