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
uysha [10]
3 years ago
7

If you draw a card with a value of three or less from a standard deck of cards, I will pay you $43. If not, you pay me $11. (Ace

s are considered the highest card in the deck.) Step 1 of 2 : Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.
Mathematics
1 answer:
valina [46]3 years ago
3 0

If W is a random variable representing your winnings from playing the game, then it has support

W=\begin{cases}43&\text{if you draw something with value at most 3}\\-11&\text{otherwise}\end{cases}

There are 52 cards in the deck. Only the 1s, 2s, and 3s fulfill the first condition, so there are 12 ways in which you can win $43. So W has PMF

P(W=w)=\begin{cases}\frac{12}{52}=\frac3{13}&\text{for }w=43\\1-\frac{12}{52}=\frac{10}{13}&\text{for }w=-11\\0&\text{otherwise}\end{cases}

You can expect to win

E[W]=\displaystyle\sum_ww\,P(W=w)=\frac{43\cdot3}{13}-\frac{11\cdot10}{13}=\boxed{\frac{19}{13}}

or about $1.46 per game.

You might be interested in
7th grade work ! I’ll give brainliest!
marysya [2.9K]

Answer:

Step-by-step explanation:

-418 + 387 - 94 - 132

-31 - 94 - 132

-125 - 132= -257 feet

3 0
3 years ago
A jewelry box is in the shape of a rectangular with a volume of 528 cubic inches l. The length of the box is 12 inches and the h
Artist 52 [7]
Volume=length*height*width
528=12*5.5*w

divide both sides by 12
44=5.5w
divide both sides by 5.5
8=w
width is 8 inches
5 0
3 years ago
It costs $430 to rent the cottage for the weekend.Last year it cost $400.What percentage increase is this?
NeX [460]
It increased by 7.5% if you subtract the starting value from the new one and then put that answer over the starting value.
3 0
3 years ago
Read 2 more answers
What is the gcf of 26 and 32
taurus [48]
2*13= 26
2*16= 32
the answer is 2
4 0
3 years ago
F(x)= square root 2x g(x)= square root 18x find (f * g) (x). Assume x>0
ruslelena [56]

Answer:

answer is A. (f.g) (x) = 6x

3 0
3 years ago
Other questions:
  • School Math. Homework.
    8·1 answer
  • What multiplies to -52 and adds to 9
    6·1 answer
  • 5/6 y = 12 <br> What’s the equation for y
    12·1 answer
  • The German club is planning a ski trip.The club will pay $500 toward the trip, and each member going on the trip will pay $115.
    7·1 answer
  • What is d+15-9/3+5 PLZZZZZ
    13·1 answer
  • Related questions:
    11·1 answer
  • Help. I will gave points ​
    6·2 answers
  • Rule: y = x + 8<br> y<br> 2.<br> 0 <br> 4 complete the table for the given rule
    12·1 answer
  • Elijah invested $530 in an account paying an interest rate of 8 % compounded
    14·1 answer
  • Need some help with this matrices question<br>​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!