The first investor you invested $180,000 the second $270,000 and the third $450,000.
Solution:
2+3+5=10
900,000/10=90,000
90,000x2=180,000
90,000x3=270,000
90,000x5=450,000

4 0

3 years ago

1 Find the value of C to that the function probability density function defined as follow, also calculate the man and variance /

Viefleur [7K]

Answer:

$c = \frac{1}{12}$

The mean of the distribution is 0.25.

The variance of the distribution is of 0.6875.

Step-by-step explanation:

Probability density function:

For it to be a probability function, the sum of the probabilities must be 1. The probabilities are 3c, 3c and 6c, so:

$3c + 3c + 6c = 1$

$12c = 1$

$c = \frac{1}{12}$

So the probability distribution is:

$P(X = -1) = 3c = 3\frac{1}{12} = \frac{1}{4} = 0.25$

$P(X = 0) = 3c = 3\frac{1}{12} = \frac{1}{4} = 0.25$

$P(X = 1) = 6c = 6\frac{1}{12} = \frac{1}{2} = 0.5$

Mean:

Sum of each outcome multiplied by its probability. So

$E(X) = -1(0.25) + 0(0.25) + 1(0.5) = -0.25 + 0.5 = 0.25$

The mean of the distribution is 0.25.

Variance:

Sum of the difference squared between each value and the mean, multiplied by its probability. So

$V^2(X) = 0.25(-1-0.25)^2 + 0.25(0 - 0.25)^2 + 0.5(1 - 0.25)^2 = 0.6875$

The variance of the distribution is of 0.6875.

4 0

3 years ago

What is the estimated difference between 7 6/11 - 5 13/15<br> (The answer should be a mixed number.)

Katyanochek1 [597]

1 112/165 because you have to have common denominators refer to image for work

6 0

3 years ago

Read 2 more answers

H^-2g for h=3 and g=27

Alexeev081 [22]

Plug h = 3 and g = 27 into the expression:

$h^{-2}g= \dfrac{g}{h^2} = \dfrac{27}{3^2} = \dfrac{27}{9} = 3$

3 0

3 years ago