Factorise the expressions and divide them as directed.

The market and Stock J have the following probability distributions:

denis-greek [22]

Answer:

1) $E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%$

2) $E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%$

3) $E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1$

And the variance would be given by:

$Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89$

And the deviation would be:

$Sd(M) = \sqrt{13.89}= 3.73$

4) $E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8$

And the variance would be given by:

$Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56$

And the deviation would be:

$Sd(M) = \sqrt{55.56}= 7.45$

Step-by-step explanation:

For this case we have the following distributions given:

Probability M J

0.3 14% 22%

0.4 10% 4%

0.3 19% 12%

Part 1

The expected value is given by this formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%$

Part 2

$E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%$

Part 3

We can calculate the second moment first with the following formula:

$E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1$

And the variance would be given by:

$Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89$

And the deviation would be:

$Sd(M) = \sqrt{13.89}= 3.73$

Part 4

We can calculate the second moment first with the following formula:

$E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8$

And the variance would be given by:

$Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56$

And the deviation would be:

$Sd(M) = \sqrt{55.56}= 7.45$

8 0

2 years ago

Simplify this problem!!!

Nonamiya [84]

Answer:

C

Step-by-step explanation:

HOPE THAT HELPSBDNQBDB

4 0

1 year ago

Read 2 more answers

Write a situation to describe the equation below:<br><br> C=50+16x

kotykmax [81]

Ryan has 50 cookies if he wants to buys x amount of 16 cookies, how many cookies will he have c= cookies

7 0

2 years ago

A math class's mean test score is 88.4. The standard deviation is 4.0. If Kimmie scored 85.9, what is her z-score

kvv77 [185]

The z-score of Kimmie is -0.625

<h3>Calculating z-score</h3>

The formula for calculating the z-score is expressed as;

z = x-η/s

where

η is the mean

s is the standard deviation

x is the Kimmie score

Substitute the given parameter

z = 85.9-88.4/4.0

z = -2.5/4.0

z = -0.625

Hence the z-score of Kimmie is -0.625

Learn more on z-score here: brainly.com/question/25638875

#SPJ1

5 0

1 year ago

Question 16

Vadim26 [7]

Answer: 175

Step-by-step explanation: total = x + 5y dollars and dollars = 300 so

x + 5y = 300 then since we know y = 200 we can substitute that

x + 5(200) = 300 then subtract x from 200

x + 5(200 - x) = 300 now solve for x

x + 5(200) + 5(-x) = 300 we know 5 times 200 is 1000

x + 1000 - 5x = 300 then subtract 5x - x = -4x

-4x + 1000 = 300 switch around 1000 and 300

-4x = 300 - 1000 subtract 300 - 1000 = -700

-4x = -700 multiply

x = -700/(-4) then finish up and solve

x = 175

hope this helps please mark brainliest if you can

4 0

2 years ago

Factorise the expressions and divide them as directed.​

Factorise the expressions and divide them as directed.