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
omeli [17]
3 years ago
7

Let X be a random variable with probability mass function

Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0

Answer:

a. g(x) = ln(x).

b. g(x) = x*e^{xt}

Step-by-step explanation:

By the definition, the expected value of a random variable X with probability mass function p is given by \sum P(X=x)\cdot x where the sum runs over all the posible values of X. Given a function g, the random variable Y=g(X) is defined. Note that the function g induces a probability mass function P' given by P'(Y=k) = P(X=g^{-1}(k)) when the function g is bijective.

a. Note that for 1/3ln(2)+1/6ln(5) by choosing the function g(x) = ln(x) the expression coincides with E(g(x)), because if Y = g(x)  then E(Y) = P'(Y=1)*ln(1)+P'(Y=2)*ln(2)+P'(Y=5)*ln(5) = P(X=1)*ln(1)+P(X=2)*ln(2)+P(X=5)*ln(5).

b. On the same fashion, the function g(x) = xe^{xt} fullfills the expression of E[g(X)]

You might be interested in
2(x + 2) + 2 = 2(x + 3) + 1
Maslowich

Answer:

No solution

Step-by-step explanation:

5(x + 4) – x = 4(x + 5) – 1

x = ?

Solution:

5(x+4)−x=4(x+5)−1

Apply Distributive property:

  • (5)(x)+(5)(4)−x=(4)(x)+(4)(5)−1
  • 5x+20−x=4x+20−1

Combine Like Terms:

  • (5x−x)+(20)=(4x)+(20−1)
  • 4x+20=4x+19
  • 4x+20=4x+19

Subtract 4x from both sides:

  • 4x+20−4x=4x+19−4x
  • 20=19

Subtract 20 from both sides:

  • 20−20=19−20
  • 0=−1

There isn't any solutions.

6 0
2 years ago
1) Joanie invested $4,500 into an account that pays 4,5% Interest compounded monthly for 10
Dafna11 [192]

Answer:

$2025

Step-by-step explanation:

Hope that helps!

7 0
3 years ago
A candy jar contains flavored jelly beans. There are 7 orange, 9 cherry, 3 lemon, 15 licorice, and 6 blueberry. Find the probabi
Alisiya [41]

Answer: 0.046

Step-by-step explanation:

From the question,

orange jelly beans= 7

Cherry jelly beans =9

Lemon jelly beans = 3

Licorice jelly beans = 15

Blueberry jelly beans = 6

Total jelly beans = 40

The probability of choosing the first cherry jelly beans will be = 9/40

After the first one is chosen, there'll be 8 cherry jelly beans and total of 39 left. The probability of choosing the second one will be = 8/39

The probability of choosing two cherry jelly beans in a row will be:

= 9/40 × 8/39

= 72/1560

= 0.046

4 0
3 years ago
If de has endpoints D(-1,6)and E(3,-2),then the midpoint M of DE lies in Quadrant1
SVETLANKA909090 [29]
M(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2}) \\M(\frac{-1 + 3}{2}, \frac{6 + (-2)}{2}) \\ M(\frac{2}{2}, \frac{6 - 2}{2}) \\ M(1, \frac{4}{2}) \\ M(1, 2)
7 0
4 years ago
Does the point (–3, 2) lie inside, outside, or on a circle with center (4, 0) and radius 5 units?
anastassius [24]

Answer:

The point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.

Step-by-step explanation:

The distance between two points (x₁, y₁) and (x₂, y₂) on the x-y plane can be calculated with:

√((x₁ - x₂)² + (y₁ - y₂)²)

So in this case, with the points (-3, 2) and (4, 0), the distance is:

√((-3 - 4)² + (2 - 0)²)

√(49 + 4)

√(53) ≈ 7.28

Since 7.28 > 5, the point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.

8 0
3 years ago
Other questions:
  • Look at the table how are, 50, 75, and 100 related to 25?​
    6·2 answers
  • a groups of 210 children attended a school picnic. only 60 of the children ate. what fraction of the children ate?
    8·2 answers
  • The vertical change between 2 points.
    15·2 answers
  • Pleas help i will mark branlist
    11·1 answer
  • A rectangle has a perimeter of 71.8 yards and a height of 3.3 yards. What is the length of the base?
    10·2 answers
  • Use the law of syllogism to draw a conclusion from the two given statements.
    8·2 answers
  • Two dice are rolled. What is the probability that the sum of the numbers is exactly 10? What is the probability that the sum of
    15·1 answer
  • How do you do 2 step eqations
    13·1 answer
  • Pls im going to fail pls help me
    6·1 answer
  • What is the quadratic equation of x2 - 7x + 6 = 0
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!