What the x?10x-45=7x

. Let X and Y be random variables of possible percent returns (0%, 10%,

bazaltina [42]

(a) The marginal distribution of X is

Pr(X = x) = ∑ Pr(X = x, Y = y)

… = 0.0625 + 0.0625 + 0.0625 + 0.0625

… = 0.25

That is, the first equality follows from the law of total probability, with the sum taken over y from {0, 5, 10, 15}. Each probability Pr(X = x, Y = y) is given in the table to be 0.0625.

Similarly, the marginal distribution of Y is

Pr(Y = y) = 0.25

(b) Yes, they're independent because

Pr(X = x, Y = y) = 0.0625,

and

Pr(X = x) Pr(Y = y) = 0.25 • 0.25 = 0.0625.

(c) The mean of X is

E[X] = ∑ x Pr(X = x)

… = 0.25 ∑ x

… = 0.25 (0 + 5 + 10 + 15)

… = 7.5

and you would find the same mean for Y,

E[Y] = 7.5

The variance of X is

V[X] = E[X^2] - E[X]^2

… = (∑ x^2 Pr(X = x)) - 7.5^2

… = 0.25 (∑ x^2) - 56.25

… = 0.25 (0^2 + 5^2 + 10^2 + 15^2) - 56.25

… = 31.25

and similarly,

V[Y] = 31.25

(each sum is taken with x and y from {0, 5, 10, 15})

7 0

3 years ago

The gestation period of humans (266 days) is _____ percent longer than the gestation period of lions (108 days).

ValentinkaMS [17]

Gestation percent of humans is 72.87% and lions is 29.58%. Subtract and humans 43.29% longer.

3 0

3 years ago

Which triangles are right triangles? Select all that apply.

Setler79 [48]

Answer:

triangle 1, triangle 3,

Step-by-step explanation:

Triangle 1= $14^{2} + 24^{2} = 772\\196+ 576 = 772$

Triangle 2= is wrong

Triangle 3= $11^{2} + 22^{2} = 605\\121+ 484= 605$

Triangle 4= is wrong.

7 0

2 years ago

Naomi can run 1/4 mile in 2 minutes. Does Amal or Naomi run faster? How do you know

telo118 [61]

Answer: Yes

Step-by-step explanation:

A: 12 minutesAnswer to B: 36 minutesAnswer to C:

4 0

3 years ago

Which of the following is an equivalent form of the compound inequality

blondinia [14]

Answer:

pls mark brainy

Step-by-step explanation:

option (d) is correct.

An equivalent form of the given compound inequality −44 > −2x − 8 ≥ −8 is −44 > −2x − 8 and −2x − 8 ≥ −8

Step-by-step explanation:

Given a compound inequality −44 > −2x − 8 ≥ −8

We have to write an equivalent form of compound inequality.

Compound inequality consists of two inequalities joined together and the solution is the intersection of each inequality.

Compound inequality has two sides the left hand side and right hand side we can solve them by taking each inequality one at a time.

For given compound inequality, −44 > −2x − 8 ≥ −8

we have

Left side of inequality as −44 > −2x − 8

and right side of inequality as −2x − 8 ≥ −8

Thus, option (d) is correct.

Thus, An equivalent form of the given compound inequality −44 > −2x − 8 ≥ −8 is −44 > −2x − 8 and −2x − 8 ≥ −8

3 0

3 years ago