answer.
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
raketka [301]
2 years ago
12

Bin $A$ has one white ball and four black balls. Bin $B$ has three balls labeled $\$1$ and one ball labeled $\$7$. Bin $W$ has f

ive balls labeled $\$8$ and one ball labeled $\$500$. A game is played as follows: a ball is randomly selected from bin $A$. If it is black, then a ball is randomly selected from bin $B$; otherwise, if the original ball is white, then a ball is randomly selected from bin $W$. You win the amount printed on the second ball selected. What is your expected win
Mathematics
2 answers:
timama [110]2 years ago
6 0

Answer:

$20

Step-by-step explanation:

Since Bin A has one white ball and four black balls, the money ball has a 1/5 chance of coming from Bin W and a 4/5 chance of coming from Bin B. The total expected value therefore is $E = 1/5E_W+4/5E_B, where E_W and E_B are the expected values of a ball drawn from bins W and B, respectively. Since Bin W has five 8 dollar balls and one 500 dollar ball, its expected value is E_W = 5/6*8 + 1/6*500 = 90. Since Bin B has three 1 dollar balls and one 7 dollar ball, its expected value is E_B = 3/4*1 + 1/4*7 = $2.5. Therefore  E = 1/5E_W + 4/5E_B = 1/5*90 + 4/5*2.5 = 20

nydimaria [60]2 years ago
3 0

Answer:

$20

Step-by-step explanation:

Bin A:                             Bin B:                  Bin W:

white ball: 20%              $1: 75%                $8: 5/6

black ball: 80%              $7: 25%               $500: 1/6

first we can calculate the expected return of bins B and W:

expected return if the ball is black = ($1 x 75%) + ($7 x 25%) = $2.50

expected return if the ball is white = ($8 x 5/6) + ($500 x 1/6) = $90

expected return of the game = (expected return of a black ball x probability of choosing a black ball) + (expected return of a white ball x probability of choosing a white ball) =($2.50 x 80%) + ($90 x 20%) = $2 + $18 = $20

You might be interested in
Use the drop-down menus to complete the paragraph proof. we are given that xy is parallel to zw. if xz is a transversal that int
adoni [48]

Solution:

x y ║ z w→→Given

Also, x z is a transversal, that intercepts x y and z w.

So, ∠ x z w=∠z x y→→Alternate interior angles as, x y ║ z w.

Also, v is point of intersection of x z and y w.

∠ x v y ≅ ∠ z v w→→[ Vertically opposite angles]

So,→→ Δ x y v ~ Δ z w v⇒⇒[Angle-Angle Similarity]




6 0
2 years ago
Read 2 more answers
A sampling interval of 10 was used to select a sample from a population of 5,000. how many elements are to be in the sample? a.
attashe74 [19]
 The answer to this either a or c
5 0
2 years ago
For making a scatter plot of the data set, which would be the best scale and interval for the axis that represents the amount of
Serga [27]

I'd say the answer to the first question is D) 0 to 4 with intervals of 0.2.

Because, you can't just have 1 to 4, as some of the numbers are less than 1.  Of course you can't have 2 to 5 either. And intervals of 2 would be too messy.

For the second question:

I believe the answer is A. Because it's obvious that there IS one outlier, and it looks like there are two clusters.

So, the answers are: A) and D).

8 0
2 years ago
Suppose you roll a six-sided 50 times and calculate the mean roll, x .
Vitek1552 [10]

Answer:

0.07

a. the distribution will be a normal distribution.

c. we would suspicious ins there is a 2 % chance of getting the required value.

Step-by-step explanation:

Let the number of times, t be = 50

Assuming that the die is fair

standard deviation = 1.71

mean = 3.5

suppose we want tp find the probability of a 2 showing. The solution becomes:

probability = \frac{2}{6}  = \frac{1}{3}

c. the  mean of rolls will be 0.07

8 0
2 years ago
Dawn raises money for her school in a jog-a-thon. She will get three dollars for every lap she completes. If it takes 4 laps to
dolphi86 [110]
If Dawn gets 3$ for every lap she completes and 1 mile is 4 laps, and it says she runs 11 miles you would do 4 multiplied by 3, which is 12, once you get that answer you would multiply 12 by 11 and your answer would be: 132$
To check your answer you could do 4x11 which is 44 and you could multiply that by 3 which will also get you: 132$
4 0
2 years ago
Read 2 more answers
Other questions:
  • A car enters a turnpike 22 miles north of a town. The car travels north at an average speed of 64 miles per hour. How far is the
    10·2 answers
  • A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Loo
    8·2 answers
  • The circumference of the circle in the above figure is 128 ft. What is the length of AB?
    8·2 answers
  • a sloth walks 2/5 mile in each 1/3 hour. write a complex fraction to represent the sloths unit rate of speed. then determine the
    8·1 answer
  • In a right triangle ?ABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find: The median to side BC The length of t
    6·2 answers
  • Three baby penguins and their father were sitting on an iceberg 0.50.50, point, 5 meters above the surface of the water. The fat
    9·1 answer
  • To increase sales, a local donut shop began putting an extra donut in some of the boxes. Customers are unaware of which boxes ha
    8·1 answer
  • In a normally distributed data set a mean of 55 where 95% of the data fall between 47.4 and 62.6, what would be the standard dev
    13·1 answer
  • The graph of f(x) = 4x3 – 13x2 + 9x + 2 is shown below. On a coordinate plane, a function is shown. The function starts from the
    13·1 answer
  • 12. A cyclist travels 40 km at a speed of x km/h. Find the time
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!