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RideAnS [48]
1 year ago
10

In a return-standard deviation space, which of the following statements is(are) true for risk-averse investors? (The vertical an

d horizontal lines are referred to as the expected return-axis and the standard deviation-axis, respectively.) I) An investor's own indifference curves might intersect. II) Indifference curves have negative slopes. III) In a set of indifference curves, the highest offers the greatest utility. IV) Indifference curves of two investors might intersect.
Mathematics
1 answer:
Wewaii [24]1 year ago
5 0

Answer:

Option iii) and iv) are the correct option

Step-by-step explanation:

Correct option is  - III and IV only

I) investors indifference curves are parallel they canno be intersect (False)

II) Indifference curve always be in a positive slope hence the statement is (False)

III) In a set of indifference curves, the higher the risk , the higher the return and as such the highest offers the greatest utility. (True)

IV) Indifference curve of investors with a same risk return trade off might intersect . (True)

You might be interested in
Four different prime numbers, each less than 20, are multiplied together. What is greatest possible result?
valentinak56 [21]

Answer:

46,189

Step-by-step explanation:

The prime numbers that are less than 20 are :

1,2,3,5,7,11,13,17,19

to get the greatest value, we multiply the four numbers with the largest values i.e

11 x 13 x 17 x 19 = 46,189

8 0
1 year ago
n 2019, approximately 97.4% of all the runners who started the Boston Marathon (in Boston, Massachusetts, USA) were able to comp
Zarrin [17]

Answer:

0.1199 = 11.99% probability that at least 5 of them did not finish the marathon

Step-by-step explanation:

For each runner, there are only two possible outcomes. Either they finished the marathon, or they did not. The probability of a runner completing the marathon is independent of any other runner. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

97.4% finished:

This means that 100 - 97.4 = 2.6% = 0.026 did not finish, which means that p = 0.026

100 runners are chosen at random

This means that n = 100

Find the probability that at least 5 of them did not finish the marathon

This is:

P(X \geq 5) = 1 - P(X < 5)

In which

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{100,0}.(0.026)^{0}.(0.974)^{100} = 0.0718

P(X = 1) = C_{100,1}.(0.026)^{1}.(0.974)^{99} = 0.1916

P(X = 2) = C_{100,2}.(0.026)^{2}.(0.974)^{98} = 0.2531

P(X = 3) = C_{100,3}.(0.026)^{3}.(0.974)^{97} = 0.2207

P(X = 4) = C_{100,4}.(0.026)^{4}.(0.974)^{96} = 0.1429

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0718 + 0.1916 + 0.2531 + 0.2207 + 0.1429 = 0.8801

P(X \geq 5) = 1 - P(X < 5) = 1 - 0.8801 = 0.1199

0.1199 = 11.99% probability that at least 5 of them did not finish the marathon

4 0
1 year ago
Which phrase describes only a square?
denis-greek [22]

Answer:

c is correct answer for you

5 0
2 years ago
What is the first step to solve for n <br><br> in the following equation?<br> 3n - 7 = 30
sergejj [24]

Answer:

Simplifying

3n + 7 = 30

Reorder the terms:

7 + 3n = 30

Solving

7 + 3n = 30

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + 3n = 30 + -7

Combine like terms: 7 + -7 = 0

0 + 3n = 30 + -7

3n = 30 + -7

Combine like terms: 30 + -7 = 23

3n = 23

Divide each side by '3'.

n = 7.666666667

Simplifying

n = 7.666666667

Step-by-step explanation:

5 0
1 year ago
Read 2 more answers
You randomly select 16 restaurants and measure the temperature of the coffee sold at each. The sample mean temperature is 162 de
stepan [7]

Answer:

b) (156.7, 167.3).

Step-by-step explanation:

Sample size (n) = 16 restaurants

Mean coffee temperature (X) = 162 degrees

Standard deviation (s) = 10 degrees

degrees of freedom (n-1) = 15

t-score for a 95% confidence interval (t) = 2.131415

Assuming a normal distribution, the confidence interval is given by:

X \pm t*\frac{s}{\sqrt{n} }\\162 \pm 1.960*\frac{10}{\sqrt{16} }

The lower (L) and upper (U) bounds of the confidence interval are:

L=162 - 5.3\\L=156.7\\U=162 + 5.3\\U=167.3

The confidence interval is b) (156.7, 167.3).

6 0
1 year ago
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