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
Rufina [12.5K]
3 years ago
9

Let X denote the time from the present until the stock market hits 25,000. If X ≤ 1, you win $10, 000X. If X > 1, you win not

hing. Suppose that X has the exponential distribution with density function f(x) = e −x for x ≥ 0. What is the expected value of your winnings?
Mathematics
1 answer:
const2013 [10]3 years ago
5 0

Answer: $6321

Step-by-step explanation:

Expected value is given as exactly what you might think it means intuitively, the return you can expect for some type of action.

The basic expected value formula is the probability of an event multiplied by the amount of times the event happens:(P(x) * n).

he formula for the Expected Value for a binomial random variable is:

P(x) * X.

X is the number of trials and P(x) is the probability of success.

The formula for calculating the Expected Value where there are multiple probabilities is:

E(X) = ∑X * P(X)

The equation is basically the same, but here you are adding the sum of all the gains multiplied by their individual probabilities instead of just one probability.

Calculating the expected value of winning as follows:

Given,

Fx= e^-x, x is greater or equal to 0

Now, P less than or equal to zero =

[-e^-x] ^1

e^-0 - e^-1

= 1 - e^-1

= 0.6321

and P(x>1) = 1-0.6321= 0.3679

Therefore,Let y= amount of winnings.

Based on the above given information,

y= $10000 0

P(y)= 0.6321 0.3679

The expected value of winning:

E(y) = ΣyP(y)

E(y) = 10000 × 0.6321 + 0 × 0.3679

E(y) = $6321

Therefore, the expected value of winning is $6321

You might be interested in
If animals could talk, which would be the rudest.​
sergeinik [125]

Answer:

The dog or a squirrel

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Function p(x), shown below, is translated 10 units up to create function q(x).
natulia [17]

Answer: q(x) = 0.005(x - 40)² + 70

<u>Step-by-step explanation:</u>

f(x) = a(x - h)² + k   <em>where a is the vertical stretch and (h, k) is the vertex.</em>

Which coordinate shifts the graph up?<em> The y-coordinate for the vertex is k.</em>

p(x) = 0.005(x - 40)² + 60

q(x) = 0.005(x - 40)² + 60 <u>+ 10</u>

       = 0.005(x - 40)² + 70

3 0
3 years ago
I have no idea how to do this, pls help. Question in the picture. Please show your work. Thanks!
geniusboy [140]

Answer:

C

Step-by-step explanation:

This is a stem and leaf plot. If you don't know what a stem and leaf plot is, try searching it before coming back and viewing the solution. I also see an "example" button. It might help to hit that too.

First, we sort the list of numbers. Here is what we get:

64, 66, 67, 68, 69, 74, 75, 76, 78, 79

Here, the stems are the tens digits and the leaves are the ones digits.

Therefore, for the stem 6, the leaves are:

4, 6, 7, 8, 9

For the stem 7, the leaves are:

4, 5, 6, 8, 9

The answer, I believe, is C

4 0
2 years ago
I need the answer for the question -4(x-10)+8 for my homework please.
mixer [17]

Answer:

i think the answer is

-4x+48

7 0
3 years ago
A student needed to find the measure of angle b. She incorrectly said m
devlian [24]
Measure of angle b= 27°

It’s a right angle, so 90-63=27!!!!!
5 0
2 years ago
Read 2 more answers
Other questions:
  • Mariana, Pamela y Nancy decidieron comprar una consola de video juegos X Box y acordaron que cada una aportará 1/3 parte del cos
    15·1 answer
  • A store had a sale on art supplies. the price p of each item was marked down 60%.which expression repression the new price.
    15·1 answer
  • The system of equations cx + 3y = c – 3 and 12x + cy = c will have infinitely many solutions if the value of c is
    10·2 answers
  • Julie bought a drink for $2.99, two bags of chips for $1.29 each, and some gasoline at a convenience store. The price of gasolin
    8·1 answer
  • X^2 - 4x - 12 = 0 Factor and solve
    10·1 answer
  • Simplify 3√225x^2y^4
    8·1 answer
  • (2x+2y)+(3y-5x) EIHOIVHNVIHVIOE
    8·2 answers
  • In a quiz contest, 4 marks were awarded for a correct answer and -2 marks were given for an incorrect answer. If James gave 5 in
    6·2 answers
  • Based on the table, what was the rate of change of the balance of the students savings account in dollars and cents per week​
    8·1 answer
  • complete the solution of the equation. Find the value of y when x equals 9. 3x + 4y = 43 Enter the correct answer. ​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!