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
vredina [299]
3 years ago
9

In the New York State Numbers Lottery, you pay $1 and can bet that the sum of the numbers that come up is 13. The probability of

winning is 0.075, and if you win, you win $6.50, which is a profit of $5.50. If you lose, you lose $1. What is the expected value of your profit? Is it an expected gain or an expected loss?
Mathematics
1 answer:
Harman [31]3 years ago
7 0

Answer:

The expected value of profit is -0.5125. This is expected loss as value is negative.        

Step-by-step explanation:

We are given the following in the question:

P(winning) = 0.075

Thus,

P(Loosing) =

1 - 0.075 = 0.925

If we win we gain a profit of $5.50 and if we loose the lottery, we loose $1.

Thus, we can form the probability distribution in the following manner:

  Event:      Winning       Loosing

Profit(x):      +5.50               -1

     P(x):       0.075             0.925

We have to calculate the expected value of the profit.

E(X) = \displaystyle\sum x_i(P(x_i))\\E(x) = +5.50(0.075) + (-1)(0.925)\\E(x) = -0.5125

Thus, the expected value of profit is -0.5125. This is expected loss as value is negative.

You might be interested in
3x^2+kx=-3 What is the value of K will result in exactly one solution to the equation?
Scorpion4ik [409]

Answer:

For k = 6 or k = -6, the equation will have exactly one solution.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = (x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

If \bigtriangleup = 0, the equation has only one solution.

In this problem, we have that:

3x^{2} + kx + 3 = 0

So

a = 3, b = k, c = 3

\bigtriangleup = b^{2} - 4ac

\bigtriangleup = k^{2} - 4*3*3

\bigtriangleup = k^{2} - 36

We will only have one solution if \bigtriangleup = 0. So

\bigtriangleup = 0

k^{2} - 36 = 0

k^{2} = 36

k = \pm \sqrt{36}

k = \pm 6

For k = 6 or k = -6, the equation will have exactly one solution.

3 0
3 years ago
He can you guys help me with this ?​
antiseptic1488 [7]
I’ll try my best but sorry if I can’t help a lot I’m not the best at math
8 0
3 years ago
In the piecewise function shown below, what is the f(10)?
svetlana [45]

B. because 15 is not equal too 10

5 0
3 years ago
Jamey wanted to understand whether students at her school were in favor of an extended school day. She surveyed some students an
charle [14.2K]
Table

<span>               In favor    Opposed Undecided
Grade 9      5              3                9
Grade 10    8            12                9
Grade 11  15            16               10
Grade 12  12              6                11

Probability = number of positive outcomes / number of possible outcomes

Probability that a student in grade 9 is in favor of extending the school day =

number of students in 9 grade in favor / number of students in grade 9

number of students in 9 grade in favor = 5

number of students in 9 grade = 5 + 3 + 9 = 17

Probability = 5 / 17

Answer: 5 / 17
</span>
6 0
3 years ago
Read 2 more answers
Subtract.<br> 15 - (-4)=
Sloan [31]
Answer: 19

Step by step:
15-(-4)
Negative* negative= positive
So.. negative 1 times -4=4
15+4= 19
5 0
3 years ago
Read 2 more answers
Other questions:
  • The difference of the squares of twenty and thirteen
    15·1 answer
  • PLEASE HELP!
    5·1 answer
  • Solve the inequality<br><br> 2x + 11 =&lt;5x - 10
    13·2 answers
  • Help me please and thank you
    11·1 answer
  • Determine the intercepts of the line
    15·1 answer
  • Find the value of y.<br>Please explain step by step​
    6·1 answer
  • The height of a fish tank is 1.1 feet, and the area of the tank's base is
    15·1 answer
  • The principal of a school claims that 30 % of grade 3 pupils stay in the playground after their classes. A survey among 500 grad
    11·1 answer
  • The length of a rectangle is 8feet less than the width. The perimeter is 64 feet. Find the length and the width
    5·1 answer
  • PLEASE HELP ME WITH THIS
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!