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

The tape diagram represents the ratio of your monthly allowance to your friend's monthly allowance. The monthly allowances total $90. How much is each allowance?

you [][][][][]
friend[][][][]

Answers

Hope this helps! Have a good day

Your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

From the given tape diagram, the ratio of your monthly allowance to your friend's monthly allowance is 5:4.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 5+4=9

Now, your monthly allowance = 5/9 × 90

= 50

So, your friend's monthly allowance = 90-50 = 40

Therefore, your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

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Can someone write it on paper so I can copy

Answers

Answer:

453/ 2 = 226.5 rounds to 227

672/ 5 = 134.4 rounds to 134

1,294/ 4 = 323.5 rounds to 326

Step-by-step explanation:

I will give brainiest to whoever answers correctly !!

Answers

Answer:

The number of units decreased by [tex]8.7\%[/tex].

Step-by-step explanation:

Initially, 470 units were sold. The following 429 units were sold, meaning this was [tex]470-429=41[/tex] less units than last year. Thus, the number of units sold decreased and the percent of decrease is:

[tex]\frac{41}{470}\approx 8.7\%[/tex]

12(x - 1) = - 4(3-X) + 8x

Answers

This equation has infinite solutions, any real number makes it true.

Please answer quick!!! Will Mark BRAINLIEST!!!

Answers

Answer:

picture 1 : 360 cm2

picture 2:  sorry I don't really know

picture 3: 11.25 cm2

Step-by-step explanation:

hope this helps

Help me out to get this math problem solve

Answers

Answer:

1. 1900 children.

2. 600 adults.

Step-by-step explanation:

Let c represent the number children.

Let a represent the number of adult.

From the question given above, we were told that 2500 people entered the fair. This can be obtained as follow:

2500 = c + a ..... (1)

From the question given above, we were told that:

Cost per child = $ 2

Cost per adult = $ 4

Total amount collected = $ 6200

Thus, we can write the above as:

6200 = 2c + 4a .....(2)

Summary:

2500 = c + a ..... (1)

6200 = 2c + 4a .....(2)

1. Determination of the number of children that attended the fair.

From equation 1

2500 = c + a

Make a the subject by rearranging

a = 2500 – c ....... (3)

Substitute the value of 'a' in equation 3 into equation 2

6200 = 2c + 4a

a = 2500 – c

6200 = 2c + 4(2500 – c)

Clear bracket

6200 = 2c + 10000 – 4c

Collect like terms

6200 – 10000 = 2c – 4c

–3800 = –2c

Divide both side by –2

c = –3800 / –2

c = 1900

Thus, 1900 children attended the fair

2. Determination of the number of adults that attended the fair.

Substitute the value of c into equation 3.

a = 2500 – c

c = 1900

a = 2500 – 1900

a = 600

Thus, 600 adults attended the fair.

Calculus Problem shown in the attached image. I understand the concept of integrals but this particular question has me perplexed. I doubt its all that complex I just don't fully understand what its asking.

Answers

(a) For some given x, A(x) gives the signed area under f(t) on the interval [a, x]. Since f(t) is simple to integrate, and with a = 2, you can compute it exactly:

A(x) = ∫₂ˣ f(t) dt

A(x) = ∫₂ˣ (3t + 2) dt

A(x) = (3/2 t ² + 2t ) |₂ˣ

A(x) = 3/2 x ² + 2x - 10

which is parabolic and easy to graph.

(b) Differentiating A(x) is also easy if you use the "closed" form above:

A'(x) = (3/2 x ² + 2x - 10)'

A'(x) = 3x + 2

and this function tells you how the area under f(t) changes as you adjust the size of the integration interval.

You can get the same result using the fundamental theorem of calculus:

A'(x) = d/dx ∫₂ˣ f(t) dt = f(x) = 3x + 2

Nikki dove into a pool and swam underwater. The table shows how her depth changed during a 4-second time period.

Which equation shows the relationship in the table between the time, t, and the depth, d?

Answers

Answer:d

Step-by-step explanation:

Will mark brainliest!!! Plz solve for each variable!!!

Answers

Answer:

the answer is

12 = y - 5

y=17

x+2 = 4

x=2

i need help,if you help me i'll give hugs :3

Answers

I think it would be grams.

Answer:

Liter

Step-by-step explanation:

112 yards
R
Sand
15 yards
Trap
20 yards s
If RS is parallel to AB, what is the width of the sand trap?
149 yards
82 yards
107 yards
84 yards

Answers

Answer:

my teacher has cancer please help her at #snowmanchallenge

Step-by-step explanation:

try to spread the help every snowman is ten dollars for her

Answer:

84

Step-by-step explanation:

112/20= 5.6

5.6*15=84

brainly is easy

HELP MWAH WITH YOURS TRULYS MATH

Answers

Answer:

its 1/2

Step-by-step explanation:

because 1/2 of 10/10 is 5/10

Answer:

1

Step-by-step explanation:

[tex]\frac{5}{10}[/tex]= 0.5

[tex]\frac{1}{2}[/tex]= 0.5

therefore making them equivilant

9x^2+6x factorise fully

Answers

Answer:

THX FOR THE POINT NOOB

Step-by-step explanation:

Which is a correct name for the angle shown?

Answers

Answer:

Angle CBA (the last one)

Step-by-step explanation:

Just look at the order of it. It could either be Angle ABC or Angle CBA.

(hope this helps!)

I think it’s the first one of you do t already have a anwser

Dana surveyed students in her class. She found that 8 earned an A, 6 earned a B, 4 earned a C, and 2 earned a D on the last science test. If she randomly surveys one more student from the class, what is the experimental probability that the student would have earned an A on the test.

Answers

Answer:

0.4 or 2/5

Step-by-step explanation:

Dana surveyed 20 students in total and out of those 20 only 8 got an A

so:

[tex]\frac{8}{20}[/tex] now if you simplify it [tex]\frac{4}{10}[/tex] and if you simplify it again:

[tex]\frac{2}{5}[/tex] or 0.4 in decimal

What is the weight on Earth of a girl with a mass of 30 Kg? The acceleration due to gravity on Earth is 9.8 m/ s 2.

ex

Answers

Answer: If, on earth, your mass is 30kg, then your weight is m*g which is mass (30kg) times Earth gravity (9.8m/s^2) = 294 N.

Step-by-step explanation:

The weight of a girl would be 294 N on Earth with a mass of 30 Kg.

What are Arithmetic operations?

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

The weight on Earth of a girl would be the product of the mass and acceleration due to gravity on Earth

So the required solution would be:

⇒ weight  = mass × acceleration due to gravity on Earth

⇒ weight  = 30 × 9.8

⇒ weight  = 294 N.

Hence, the weight of a girl would be 294 N on Earth with a mass of 30 Kg.

Learn more about Arithmetic operations here:

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Pls help extra points and mark brainlist easy reading

Answers

Answer:

A should be the answer pls brainliest

Step-by-step explanation:

what is the equation for the line of reflection
a. x= 3
b. y = 3
c. y = x
d. x = 6​

Answers

Answer:

The answer to that question is c. y = x

What is 3x-6+7y-4y plsssssssssss helpppppppp meeere

Answers

Answer:

3

+

3

6

Step-by-step explanation:

Each day a company used 2 / 8 of a box of paper. How many would they have used after 5 days?

Answers

Answer:

Now to secrtly stalk this man

Step-by-step explanation:

They have used after 5 days, 1 full box and 1/4 of another box.

What is fraction?

Fractions are used to represent smaller pieces of a whole.

Given that, Each day, a company used 2 / 8 of a box of paper.

They are using 1/4 box of paper each day,

So, after 5 days = 5*1/4 = 5/4 = 1+ 1/4

Hence, They have used after 5 days, 1 full box and 1/4 of another box.

For more references on fraction, click;

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Help me! Which is the right correct answer?

Answers

Answer:

the way bottom one i think i dont rember planes anymore

Step-by-step explanation:

Answer:

(-4 1/2,3) is the final result.

Step-by-step explanation:

V(4 1/2, -3)

The order of the reflections do not matter.

So if I consider the x axis first, only the y value will change. Seems weird, but try doing this on a piece of scrap paper.

(4 1/2, 3 ) is the new point. The point is reflected an equal distance behind the mirror on the x axis.

Now do the y axis. Only the x value of the point is changed.

(-4 1/2, 3) is what happens.

===================================

Does the order matter?

V(4 1/2, - 3) goes across the y axis to become (-4 1/2 , - 3)

V'(-4 1/2, -3) goes across the x axis to become (-4 1/2, 3) which is exactly what we got before.

Order does not matter for these 2 transformations.

HELP ASAP! WILL GIVE BRAINLIEST!

Which statements below are ALWAYS TRUE about Rectangles? Choose ALL THAT APPLY.

- Diagonals are perpendicular

- Diagonals bisect each other in diagonals are equal in length

- Diagonals bisect each other, but they are NOT equal in length

- Opposite sides are congruent

- All four sides are congruent

- Diagonals bisect 90° angles

- Diagonals DO NOT bisect 90° angles

Answers

-diagonals are perpendicular
-diagonals bisect eachother are equal length
-all 4 sides are congruent
-diagonals bisect in 90 degree angles
-Diagonals are perpendicular
-Diagonals bisect each other, are equal in length
-Opposite sides are congruent
-Diagonals bisect 90° angels

I’m sorry if one of these are wrong

help!!!!!!!!!!!!!!!!! due in 15min

Answers

Answer:

5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

When you put the i out in place for x you multiply so

4x9=36

7x9=63

2x9=18

9x9=81

HELP HELP HELP

The function t relates the age of a plant fossil in years to the percentage c of carbon remaining in the fossil relative to when it was alive.
t(c)=-3970.9(ln c)

Use function t to complete the statements.

A fossil with 47% of its carbon remaining is approximately how old
1. 2998
2 11,910
3 7550

A fossil that is 7000 years old will have approximately
1. .2%
2. 57%
3 17%

Of its carbon remaining.

Select the correct answers

Answers

Answer:

2998 ; 17%

Step-by-step explanation:

Given the function:

t(c)=-3970.9(ln c)

c = % of carbon remaining ; t = time

1.) c = 47% = 47/100 = 0.47

t(0.47) = - 3970.9(In 0.47)

t = - 3970.9 * −0.755022

t = 2998.119

t = 2998

B.)

t = 7000

t(c)=-3970.9(ln c)

7000 = - 3970.9(In c)

7000 / - 3970.9 = In c

−1.762824 = In c

c = exp(−1.762824)

c = 0.1715596

c = 0.1715596 * 100%

c = 17.156% ; c = 17%

Answer:  For plato family

The function t relates the age of a plant fossil, in years, to the percentage, c, of carbon-14 remaining in the fossil relative to when it was alive.

Use function t to complete the statements.

A fossil with 47%    of its carbon-14 remaining is approximately

years old.

A fossil that is 7,000 years old will have approximately

       17%     of its   carbon-14 remaining.

Step-by-step explanation:

 The  first  box is  2,998

  The  second  box is 17%

need help asap please

Answers

Answer:

[tex]\displaystyle no[/tex]

Step-by-step explanation:

SR is slightly longer than TS, so with that being stated, we cannot use this theorem for this triangle.

I am joyous to assist you at any time.

Find the missing side or angle.
Round to the nearest tenth.
b=26
a=25
c=5
B=[? ]°

Answers

~96°






mmmmmmmmmmmmmmmmmmm

Answer:

The anwer for Acellus people is B=96 degrees

Step-by-step explanation:

If 200 of the 550 reptiles in as you are on display what percent of the reptiles are on display

Answers

Answer:

200/550×100%

=20000/550

=36.37%

Find area of shaded. Exact answer of pi

Answers

Area circle = pi(6^2) = 36pi
Area right triangle = 1/2(6)(6) = 18
Area shaded = 36pi - 18

HELP ASAP! Brainliest for correct answer!

Answers

Answer : 20% probability

Answer:

30

i hope it helps

A researcher observes the level of aggression of six 5-year-old boys over the course of a school day. The number of incidents for the group of boys was 2, 4, 6, 12, 8, 10. What is the mean number of aggressive acts for this group of children?
a) 9
b) 5
c) 7
d) 4

Answers

Answer:

[tex]Mean = 7[/tex]

Step-by-step explanation:

Given

[tex]Data: 2, 4, 6, 12, 8, 10.[/tex]

Required

Determine the mean

The mean of a data is calculated as thus:

[tex]Mean = \frac{\sum x}{n}[/tex]

In this case:

[tex]n = 6[/tex]

So, the formula becomes:

[tex]Mean = \frac{2+4+6+12+8+10}{6}[/tex]

[tex]Mean = \frac{42}{6}[/tex]

[tex]Mean = 7[/tex]

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