A random variable X has a lognormal distribution if Y = ln X has a normal distribution. For this problem, assume that Y has a mean and standard deviation of 0.353 and 0.754
(a) What are the possible values X can take?
(b) What is the probability that X is between 1 and 2?

Answers

Answer 1

Answer:

Step-by-step explanation:

From the given information:

For X to be valid, the possible values of X should be greater than zero i.e. X > 0

If X obeys a lognormal distribution

Then; Y = In X

So,

Now,

[tex]E(X) = e^{0.353} + \dfrac{1}{2}(0.754)^2[/tex]

[tex]E(X) = 1.8913[/tex]

Also;

[tex]V(X) = e^{2 \times 0.353 + 2(0.754)^2} -e^{2\times 0.353 + (0.754)^2}[/tex]

V(X) = 2.7387

SD(X) = 1.6549

[tex]P(1 < X < 2) = P(X < 2) - P(X < 1)[/tex]

= 0.108


Related Questions

(Worth 50 points. Don't post your answer unless you have good ideas) Solve the following problem:
Which triangles are similar ?

Answers

Answer:  ΔABC ≅ ΔADB

Step-by-step explanation:

In order to be similar, they must have the same angles.

    ΔABC                                  ΔADB                              ΔDBC

∠A = 180 - (2a + b)             ∠A = 180 - (2a + b)         ∠D = 180 - (a + b)

∠B = a + b                           ∠D = a + b                      ∠B = b

∠C = a                                 ∠B = a                            ∠C = a

ΔABC and ΔADB have the same angles so they are similar.

Using your knowledge of inverse operations, the inverse operation for the equation 4,560/120 = 38 is ______?


38/120 = 4,560


38 * 120 = 4,560


4,560/38 = 120


4,560 * 38 = 120

Answers

Given:

The equation is

[tex]\dfrac{4560}{120}=38[/tex]

To find:

The inverse operation for the equation using the knowledge of inverse operations.

Solution:

We have,

[tex]\dfrac{4560}{120}=38[/tex]

Here, 4560 is divided by 120. So, in this equation the operation is division.

We know that inverse operation of division is multiplication. So, multiply both sides by 120.

[tex]\dfrac{4560}{120}\times 120=38\times 120[/tex]

[tex]4560=38\times 120[/tex]

It can be written as

[tex]38\times 120=4560[/tex]

The inverse operation for the equation is [tex]38\times 120=4560[/tex].

Therefore, the correct option is B.

Helpppppppp.................​

Answers

What’s wrong?? ......

Solve for s.
3 = s - 2
s=

Answers

The answer is 5 because 5-2=3. S=5

Answer:

3 = s - 2

s = 3 - 2

s = 1

what was hard lol

solve for x x−3/11=8

x=​

Answers

Answer:

x = 91/11

Step-by-step explanation:

1. x - 3/11 = 8

2. add 3/11 to both sides of the equation

3. x = 91/11

Fred has $85 to spend on Christmas present for his family. After buying 8 presents, he has $5 left.on average how much did each present cost?

Answers

Answer:

Im not really sure but i think 10

Step-by-step explanation:

Answer

10

The reason why is because if he bought 8 present and had 5 dollars left then he spender 10 dollars for each present and the 5 was the remaining of 85

Hope this helps :)

Pls give me BRAINLIEST

8x-6y=36
solve the linear equation

Answers

Answer:

The below is the answer to the equation. 4.5, 0

Step-by-step explanation:

5x - 2y = -15 and 3x + 8y = 37 elimination please

Answers

Answer:

the answer is d i took the quiz

Step-by-step explanation:

Please help me with my homework!!!!

Answers

Answer:

-3.5

Step-by-step explanation:

Flip the equation so it's 0 - 3.5 which would give you -3.5

Answer:

- 3 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Any number combined with it's opposite will make zero. The opposite of a number is the same number with it's sign flipped. For example, the opposite of 5 is -5, and the opposite of -3 is 3. If I combine any number, for example 10, with it's opposite, in this case -10, it will make zero. (10 - 10 = 0.) Hope this helps!

Round 992 to the nearest ten

Answers

It will be 990 hope this helps

Answer:

990

Step-by-step explanation:

990

2 is lower than 5 so we round down. Instead of rounding up to 1, round down to 0

Ivan and Tanya share £150 in the ratio 4:1
Work out how much more Ivan gets compared to Tanya.
How much more does Ivan get?

Answers

Ivan=£120 &
Tanya=£30


Sydney invests money in an account paying a simple interest of 5.2% per year. If no
money will be added or removed from the investment, what should she multiply her
current balance by to find her total balance in a year in one step?

Answers

Answer:

She should multiply her current balance by 1.052.

Step-by-step explanation:

Her investment is an account with a simple interest of 5.2% per year.

So in one year, she will have 100% + 5.2% = 105.2% of her initial amount. To find the multiplier, we divide by 100%. So

105.2%/100% = 1.052

She should multiply her current balance by 1.052.

PLEASE ASNWER ASASP for BRAINLEST!!!!!!!!!!!!!!!!!

The perimeter of a rectangle is 53 meters. The length is 2.3 meters longer than the width, w. Find the width of the rectangle.

12.675 meters

25.35 meters

12.1 meters

24.2 meters

Answers

Answer:

12.1 meters. Hope this helped, would love brainliest!

Step-by-step explanation:

For this question we will have to try each option.

12.675+2.3=14.975 14.975+14.975+12.675+12.675=55.3 This ones not it.

25.35+2.3=28.65 28.65+28.65+25.35+25.35=108 This ones not it either.

12.1+2.3=14.4 14.4+14.4+12.1+12.1=53 THIS ONES IT!

we do not have to do the last one

Consumer Reports will have an article comparing refrigerators in the next issue. Some of the characteristics to be included in the report are the brand name and model; whether it has a top freezer, bottom freezer, or side-by-side layout; the estimated energy consumption per year (kilowatts); whether or not it is Energy Star compliant; the width, depth, and height in inches; and both the freezer and refrigerator net capacity, in cubic feet. What variables are categorical, and which are quantitative?

Answers

Answer:

brand name and model - - > CATEGORICAL

whether it has a top freezer, bottom freezer, or side-by-side LAYOUT - - > CATEGORICAL

the estimated energy consumption per year (kilowatts); - - - > QUANTITATIVE

whether or not it is Energy Star COMPLIANT - - > CAREGORICAL

the width, depth, and height in INCHES - - - > QUANTITATIVE

both the freezer and refrigerator net capacity, in cubic FEET - - - > QUANTITATIVE

Step-by-step explanation:

Given the following refrigerator characteristics :

brand name and model - - > CATEGORICAL

whether it has a top freezer, bottom freezer, or side-by-side LAYOUT - - > CATEGORICAL

the estimated energy consumption per year (kilowatts); - - - > QUANTITATIVE

whether or not it is Energy Star COMPLIANT - - > CAREGORICAL

the width, depth, and height in INCHES - - - > QUANTITATIVE

both the freezer and refrigerator net capacity, in cubic FEET - - - > QUANTITATIVE

To start with ; Categorical and quantitative variables differ most notably in the fact that, quantitative variables deals with numbers, measurements or calculated mathematical values of certain attribute in a measured species or sample. Categorical variable on the other hand mostly deals with making distinctions in properties of a sample by grouping the varibale into the different available categories based on their attributes.

there is more i need to take more pictures of it ​

Answers

Could you include a better picture of the question

Please help. . . . . . . . .

Answers

9514 1404 393

Answer:

  recursive: 5, 3, 2

  explicit: 5, 3

Step-by-step explanation:

First of all, you can identify the first term as a1 = 5.

Then you can see that the ratio of consecutive terms is ...

  15/5 = 45/15 = 135/45 = 405/135 = 3 . . . the common ratio

In the recursive formula, a1 is the first term (5), and the multiplier getting you to the next term is the common ratio (3). The recursion relation is good for values of n such that n-1 is at least 1. That is, n ≥ 2.

  [tex]\text{The recursive rule is }a_1=\boxed{5}\text{ and }a_n=\boxed{3}a_{n-1}\text{ for }n\ge\boxed{2}[/tex]

__

The explicit rule is formed the way the problem statement tells you: the first term times a power of the common ratio.

  [tex]\text{The explicit rule is }a_n=\boxed{5}(\boxed{3})^{n-1}[/tex]

WILL GIVE BRAINLIEST FOR ANSWER I’m gonna fail help please

Answers

Answer: A

Step-by-step explanation:

might as well tell ur teachers ur awesome no matter wat.

I'll give you a Brainly please help me

Answers

Answer:

Step-by-step explanation:

A= (7,-9)

B= ( 6,-12)

Find an equation for the perpendicular bisector of the line segment whose end points are (-9,-8) and (3,-2)

Answers

Answer:

[tex]y=-2x-11[/tex]

Step-by-step explanation:

Slope of the line segment = [(-8)-(-2)]/[(-9)-3]=-6/-12=1/2

Slope of the perpendicular bisector x slope of line segment = -1

Slope of perpendicular bisector = -2

Mid-point of line segment = ((-9+3)/2, (-8+(-2))/2) = (-3, -5)

The perpendicular bisector passes through the mid-point.

By point-slope form,

[tex]\frac{y-(-5)}{x-(-3)} = -2\\y+5=-2x-6\\y=-2x-11[/tex]

Write an equation to determine the total length in kilometers (h)(h)left parenthesis, h, right parenthesis of Josh's hike.

Answers

Answer:

Step-by-step explanation:

H

9. Translate the sentence into an equation and solve. Use x as the variable.
The difference between six times a number and four is equal to fifty.

A. 6(x-4) = 50; x = 9
B. 6x - 4 = 50; x = 9
C. 6 +X-4 = 50; x = 12
D. 6x-4 = 50; x = -9

Answers

Answer:

Option B: 6x-4=50; x=9 is the correct answer.

Step-by-step explanation:

Given that:

x is the variable used for number.

6 times a number means 6x and difference means subtraction.

Thus according to given statement;

6x - 4 = 50

Adding 4 on both sides

6x - 4 + 4 = 50+4

6x = 54

Dividing both sides by 6

[tex]\frac{6x}{6}=\frac{54}{6}\\x=9[/tex]

Hence,

Option B: 6x-4=50; x=9 is the correct answer.

Find the domain and range of: {(-2,0), (-1,1), (0,2),(1,3)}

Answers

Answer: domain: {-2, -1, 0, 1}

range: {0, 1, 2, 3}

At 1:00 P.M, you have 24 megabytes of a movie. At 1:15 P.M, you have 96 megabytes. What is the download rate in megabytes per minute?

A) 96 MB per minute
B) 4 MB per minute
C) 8.0 MB per minute
D) 4.8 MB per minute

Answers

9514 1404 393

Answer:

  D)  4.8 MB per minute

Step-by-step explanation:

In the 15 minutes between 1 pm and 1:15 pm, the number of megabytes downloaded was 96 -24 = 72. The rate of download is ...

  (72 MB)/(15 min) = 4.8 MB/min

Find the volume of the following cube.

A. 12 cubic yards

B. 16 cubic yards

C. 46 cubic yards

D. 64 cubic yards​

Answers

Step-by-step explanation:

Volume of a cube

= (Side length of cube)³

= (4 yards)³

= 64 cubic yards. (D)

The answers is D
64 cubic yards

To find the volume of a cube you times the two bottom numbers by each other just as if you were just finding the area
(4*4=16)

then multiply the "area" (I call it the floor lol) by the height (16*4=64)

Which equation is graphed below?

Answers

Hope it will help you

Enter a numerical expression for the word expression.
11 decreased by 8

Answers

A numerical expression is a mathematical statement involving only numbers and one or more arithmetic operation symbols+,−,×,÷. A numerical expression always represents a particular number. For example, the numerical expression 5 + 20 − 9 is equal to the number 16 when simplified.

Consider the following functions.
f(x) = 3/x, g(x) = x/(x + 3)

Find
(f ∘ g)(x).



Find the domain of
(f ∘ g)(x).
(Enter your answer using interval notation.)


Find
(g ∘ f)(x).



Find the domain of
(g ∘ f)(x).
(Enter your answer using interval notation.)


Find
(f ∘ f)(x).



Find the domain of
(f ∘ f)(x).
(Enter your answer using interval notation.)


Find
(g ∘ g)(x).



Find the domain of
(g ∘ g)(x).
(Enter your answer using interval notation.)

Answers

Answer:

umm

Step-by-step explanation:

In a study, the sample is chosen by writing everyone's name on a playing card, shuffling the deck, then choosing the top 20 cards. What is the sampling method?
A. Simple Random.
B. Systematic.
C. Stratified.
D. Convenience.

Answers

Answer: A. Simple Random Sampling

Step-by-step explanation:

A simple random sampling technique could be explained as being the most basic and approach to choosing an unbiased Number of samples from a given population. This technique simply involves choosing a specified Number of samples at random (each member of the larger sample or population has equal Chance of being selected) from a larger sample or population. It does not require any sort of partitioning during selection. As in the scenario above, the deck of cards represents the large lr population from which 20 cards are to be selected, since the card has been shuffled then each card has equal Chance of being selected.

1.8 L
1,500 mL
Is this greater than,less than,or equal to?

Answers

Answer: use math)way

Step-by-step explanation:

12- (-5) + (-4 ) calculate

Answers

13teen is the answer because -5 plus -4 equals-9 so when you subtract a positive which is 12 that’s what you get.
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