Answer:
So the value that separates the bottom 25% of data from the top 75% is -0.00235.
Explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where 
and 
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.25 of the area on the left and 0.75 of the area on the right it's z=-0.674. On this case P(Z<-0.674)=0.25 and P(z>-0.674)=0.75
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value that separates the bottom 25% of data from the top 75% is -0.00235.
Answer:
Given:
The total transaction price for the sale of the stereo system and the extended warranty is $3,000.
The standalone price of each is $2,300 and $900, respectively.
The estimated cost of the assurance-warranty is $350.
Here, in this case the warranty expenses against sale of stereo is on basis of expected expenses
.
Expected expenses in future is for certainty and sum collected against this expenses. Therefore, $ 900 is gathered under assurance-warranty while no cost is incurred. Therefore, they will credit the unearned warranty revenue of $ 900
<u><em>Option (4) is correct.</em></u>
Answer:
A key performance indicator of the customer perspective in a balanced scorecard is option C. number of repeat customers
Explanation:
A Key Performance Indicator (KPI) is a measurable value used to demonstrate how effectively a company is achieving key business objectives.
Organizations use KPIs to analyze their success rate.
The customer perspective within the balanced score card enables organizations to target the market segments to prioritize. Once they have done that, they focus developing strategies that maximizes customers’ utility and bring sin good profit to the organization.
Before now, Balanced Scorecard tilted towards product performance and technology innovation to be the backbones of business success. However, customer behavioral trends have gradually emphasized the necessity for understanding what customers need.
Therefore the number of repeat customers is a KPI of the customer perspective in a balanced score card.
Answer:
The Square Box should accept Project B only
Explanation:
Square Box should decide the project whose Net present value (NPV) of future cash inflow is higher than the initial cost of investment
NPV of cash inflow from Project A = 3,000/(1+12%)+7,000/(1+12%)^2+10,000/(1+12%)^3 = $15,377, lower then initial cost of $18,000 → deny Project A
NPV of cash inflow from Project B = 3,000/(1+12%)+7,000/(1+12%)^2+15,000/(1+12%)^3 = $18,936, higher then initial cost of $18,000 → accept Project B
Answer:
The price of the stock six years from now will be $56.94
Explanation:
To calculate the price of a stock that pays a dividend which grows at a constant rate forever, we use the constant growth model of DDM. The current price of stock using the constant growth model is calculated as follows,
P0 = D1 / r - g
As, we don't know the D1, that is dividend expected for the next year, we will calculate it first,
45 = D1 / (0.12 - 0.04)
45 * (0.12-0.04) = D1
45 * (0.08) = D1
3.6 = D1
We use the D1 to calculate the price today. Thus, we will use D7 to calculate the price six years from now.
D7 = D1 * (1+g)^6
P6 = 3.6 * (1+0.04)^6 / (0.12 - 0.04)
P6 = $56.939 rounded off to $56.94
