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
Alja [10]
3 years ago
9

Risk taking is an important part of investing. In order to make suitable investment decisions on behalf of their customers, port

folio managers give a questionnaire to new customers to measure their desire to take financial risks. The scores on the questionnaire are approximately normally distributed with a mean of 49.5 and a standard deviation of 15. The customers with scores in the bottom 10% are described as "risk averse." What is the questionnaire score that separates customers who are considered risk averse from those who are not? Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
Mathematics
1 answer:
GrogVix [38]3 years ago
7 0

Answer:

a=49.5 -1.28*15=30.3

So the value of height that separates the bottom 10% of data from the top 90% is 30.3.  

If the score is lower than 30.3 we consider this score as risk averse

Step-by-step 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 scores of a population, and for this case we know the distribution for X is given by:

X \sim N(49.5,15)  

Where \mu=49.5 and \sigma=15

We are interested in the bottom 10% of the data.

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.9   (a)

P(X   (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 0.1 of the area on the left and 0.9 of the area on the right it's z=-1.28. On this case P(Z<-1.28)=0.1 and P(z>-1.28)=0.9

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-1.28

And if we solve for a we got

a=49.5 -1.28*15=30.3

So the value of height that separates the bottom 10% of data from the top 90% is 30.3.  

If the score is lower than 30.3 we consider this score as risk averse

You might be interested in
What is the coefficient of the term 6/7 xy? A- 6xy. B-1/7. C-6. D--6/7
bearhunter [10]
D is the correct answer
4 0
3 years ago
BRAINLIEST ASAP! PLEASE HELP ME :)
Nitella [24]

The answer is [ ∠A ≅ ∠A; A F/AB = AG/AC = 3 ]

Both triangles are the same just different sizes.

The length of A F is 9 units. The length of AB is 3 units.

To find the scale factor, just divide.

9 / 3 = 3

The length of AG is 6 units. The length of AC is 2 units.

To find the scale factor, just divide.

6 / 2 = 3

The only logical answer is B because the ratio's are written to where when you solve them, you get the scale factor 3.

Best of Luck!

6 0
3 years ago
Which of the following expressions has the greatest value?
Natali [406]

Answer:

D

3+7+(-10)

Is it correct answer

7 0
3 years ago
Read 2 more answers
Select an expression that shows the sum of exactly two terms that is equivalent to 3(x + 7).
bixtya [17]

Answer:

3x + 21

Step-by-step explanation:

3(x + 7)           Distribute

3x + 21

6 0
2 years ago
(5+2 i)(4-3i) - (5-2yi)(4-3i) in a + bi form, where y is a real number.
ElenaW [278]
<span>(5+2 i)(4-3i) - (5-2yi)(4-3i)

Factorize out (4 -3i)

(4 -3i)( (5 +2i) - (5 -2yi) )

=  </span><span><span>(4 -3i)(5 +2i - 5 + 2yi)</span>

=  </span><span><span>(4 -3i)(5 - 5 + 2i + 2yi)</span>

= (4 -3i)(2i + 2yi)

= (4 - 3i)(2 + 2y)i.    Let's multiply the first two.
</span>
(4 - 3i)(2 + 2y) = 2*(4 -3i) + 2y*(4 - 3i)           
                      =  8 - 6i + 8y - 6yi
                      =  8 + 8y - 6i - 6yi

(4 - 3i)(2 + 2y)i = (8 + 8y - 6i - 6yi)i                Note: i² = -1
                       =  8i  + 8yi - 6i² - 6yi²
                       =  8i  +  8yi - 6(-1) - 6y(-1)  
                       =  8i  +  8yi  + 6 + 6y
                       =  6 + 6y + 8i + 8yi
                       =  (6 + 6y) + (8 + 8y)i    In the form a + bi
5 0
3 years ago
Other questions:
  • In order to select the new board members. The French club held an election 9 out of 18 club in the election voted in the electio
    10·2 answers
  • Simplify: 8bc-9bc+10bc-6bc
    7·2 answers
  • 10=5x what is the value of x
    6·2 answers
  • 12. Judith randomly selected 20% of the
    11·2 answers
  • The value of /10<br> is between<br> and
    9·1 answer
  • Four balls of wool will make 8 knitted Caps.How many balls of wool will Malcolm need if he wants to make 6 cups?
    12·1 answer
  • Help help help AAAAAAA math is hard
    10·2 answers
  • Think about tossing two coins.
    5·1 answer
  • 30 poins on he line hurr
    7·2 answers
  • I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont k
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!