Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places.

Required:
a. Determine the mean of X.
b. Determine the variance of X
c. What is P(X < 3.7)?

Answers

Answer 1

Answer:

(a) 3.75

(b) 2.00083

(c) 0.4898

Step-by-step explanation:

It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].

(a)

Compute the mean of X as follows:

[tex]\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75[/tex]

(b)

Compute the variance of X as follows:

[tex]\sigm^{2}_{X}=\frac{(b-a)^{2}}{12}=\frac{(6.2-1.3)^{2}}{12}=2.00083[/tex]

(c)

Compute the value of P(X < 3.7) as follows:

[tex]P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898[/tex]

Thus, the value of P(X < 3.7)  is 0.4898.


Related Questions

find the original price of a pair of shoes if the sale price is $40 after a 60% discount

Answers

Answer:

Thus, the original price of the pair of shoes was $100.

Step-by-step explanation:

Percentages

After a 60% discount, the sale price is now valued at 100-60=40% of its original price.

If the sale price is $40, then the original price is calculated as

$40 / 40 * 100 = $100

Thus, the original price of the pair of shoes was $100.

Verify applying 60% discount:

$100 - 60*$100/100 =  $40

need ASAP!!
Order the events in the correct order from 1 being the LEAST likely to occur to 4 being the
MOST likely to occur.
flipping a fair coin and having the
coin land with the tails side facing
up
spinning a spinner with 8 equal
sections numbered 1 to 8 and
landing on a number greater than 1
spinning a spinner with 10 equal
sections numbered 1 to 10 and
landing on 5
rolling a 0 on a number cube
with sides numbered from
1 to 6

Answers

Answer:

starting from top to bottom

2

1

3

4

Step-by-step explanation:

In that order

A triangle has a base of 3 2/5 inches and an area of 5 1/10 square inches. Find the height of the triangle.

Answers

Answer:

3.33 is the answer

Determine the slope and the y-intercept of the table.

Answers

Answer:

Slope: 1.5

Y-Intercept: -1

help me plz !!!!!!!!!!!!

Answers

Answer:

5/7

Step-by-step explanation:

hope this helps!!

Answer:

the answer is 5/7 thats the lowest it can go

Step-by-step explanation:

Select the correct answer from the drop-down menu.
Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The difference of half the number of oranges and half the number of apples is 4.
An equation created to find the number of apples Javier has in the basket will have
A One Solution
B No solution
c Infinite Solution

Answers

Answer:

one solution

Step-by-step explanation:

Answer:

one solution

Step-by-step explanation:

Antonia participated in a run-a-thon and raised $265 for her school. She received $25 in donations and an additional $8 for every lap she ran. How many laps did Antonia run? Use a piece of paper to draw a tape diagram and show your work.

Answers

Answer:

30 laps

Step-by-step explanation:

Take 265 then subtract 25. you get 240. then divide that by 8. you get 30 so she ran 30 laps

Please help me I am confused

Answers

Add 8 to both sides of the equation

Help I Dont Understand?

Answers

I am worry I tried but I think its the wrong answer good luck!

7n + 5 =68.... how to solve this problem and show my work​

Answers

Answer:

n = 9

Step-by-step explanation:

7n + 5 = 68

7n + 5 - 5 = 68 - 5

7n = 63

7n / 7 = 63 / 7

n = 9

sergio must ride 7.5 miles in 1/4 hour to achieve this target speed, so he needs to ride an additional ____ mile per 1/4 hour

Answers

Answer: 7.0

Step-by-step explanation:

sergio must ride 7.5 miles in 1/4 hour to achieve this target speed so  he needs to ride  an addititonal 9.8 mile per1/4 hour

Answer:

30 mph

Step-by-step explanation:

since it is 1/4  you would multply 7.5 times 4, which adds up to 30.

IF UR GOOD AT PRECALC PLEASE HELP

Answers

Answer:

Answer is C, u can find this just by looking at domain

The answer is C hope this helps

which number are composite numbers-49,35,32,41,47

Answers

Answer:

49, 35, 32

Step-by-step explanation:

A prime number is a number whose factors are 1 and itself

Eg 7

7 is a prime number because it only comes in table one and 7

Or it’s only factors are 1 and itself

A composite number comes in 1, itself and other tables

Eg. 16

It comes in table 1, 2, 4 and 16

Answer: 49,32,35.

Hope this helps!

HELP!!! Parallel Line Proofs

Answers

They add to 180 when you connect the two lines

The sum of two binomials is 7x 2 - 15. If one of the binomials is 4x 2-8. what is the other binomial?
0 33²-7
o 11x².7
O 3x2-23
O 11x 2 + 23
Previous

Answers

Answer:

c

Step-by-step explanation:

R - 27 / 6 = 7
SOLVE FOR R
PLEASE I WILL GIVE THE HIGHER POINTS

Answers

Answer:

R=28.15

Step-by-step explanation:

R-27\6=7

6R-27=7

6R=7+27

6R=34

R=34÷6

R=28.15

Yes I believe the person above me is correct

Find the measure of angle b.
4)
36°
what do you guys think

Answers

Answer: 54°
It’s a 90° angle so you just subtract whatever it is from 90

Which two numbers below have a least common multiple of 48?

Answers

Answer:

its 3 and 16 just trust me

The least common multiple is divisible by both a and b. The two numbers below have a least common multiple of 48 is 3 and 16.

What is LCM?

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

The two numbers below have a least common multiple of 48 are,

3 and 16 ⇒ 3×16=48

Hence, the two numbers below have a least common multiple of 48 is 3 and 16.

Learn more about LCM:

https://brainly.com/question/20739723

#SPJ2

Mr Thompson wants to cut a 5-ft rope into a 1/4-ft sections how many 1/4 sections will he have

Answers

Answer:

20 pieces of rope

Step-by-step explanation:

Mr. Thompson has a 5-ft rope. If he cuts the rope into 1/4-ft pieces, that means for every foot, there are 4 pieces of rope. There are 5-ft of rope, so we multiply 5 and 4 to get the number of pieces of rope.

5 x 4 = 20 pieces of rope.

I hope that this helps! :)

what is 2+2 my brain has been in circles about this

Answers

Answer:

hey  welcome to Brainly, and 2 + 2 = 4

Step-by-step explanation:

2+2=4

3+3=6

4+4=8

5+5=10

and so on just keep adding 2

If |14 -2x = 20, x could equal which of the following?

Answers

Answer:

x would equal -3

Step-by-step explanation:

want to get rid of 14 from each side so 14 - 14 would get rid of that 20 - 14 = 6 now you still have a negative 2x

-2x / -2x gives you X to be alone now divide 6 with -2 which gives you -3

The value of x is -3.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

14 -2x = 20

Now, solving for x

Subtract 14 both side

14- 2x - 14= 20- 14

-2x = 6

Divide by (-2)

-2x/(-2)= 6/ (-2)

x= -3

Hence, the value of x is -3.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ6

The speed of a boat in still water is 10 km/hr. If it can travel 78 km downstream and 42 km upstream in the same time, the speed of the stream is?

Answers

Answer:

umm let me look at this one more time then I will answer:)

Marcus likes Nike sneakers. He paid $195 for a sneaker that originally cost $245. What is the percent discount of his purchase?

Answers

Answer:

21%

Step-by-step explanation:

195 divided by 245 = 0.79 approximately

100-79=21

Always divide the small number by the big number for percentages

Good luck!

What is the solution to this equation?
3x-9 = 12
O A. x = 1
B. x = 7
O c. x = 9
O D. x = 63

Answers

the answer would be x = 7

point A is located in which quadrant 1 2 3 or 4​

Answers

Answer:

I THINK 2

Step-by-step explanation:

Answer: (-3, 5) :  Quadrant 2

if Ad = 2x + 2 and cd= x +11, what is the value of x​

Answers

Answer: the answer is 9

Step-by-step explanation:

A 6-kilogram bag of cat food costs $21.54. What is the unit price?

Answers

Answer:0.27855153

A

0.04642525

kilograms per dollar

Step-by-step explanation:

A quality control group found 7 defects for every 1250 units produced. If 8750 products were produced how many defects were there?

Answers

49 defects hope this helps :)

Talya wanted to hit 20 homeruns this season. She ended up hitting 150% of her goal. How many homeruns did Talya hit this season?

Answers

10 because 10 - 150% = 10

Answer:

30

Step-by-step explanation:

tell me if im  wrong

sorry if i am TmT

Solve for z;

z/12 = 18/72​

Answers

Answer:

3

Step-by-step explanation:

z/12=18/72      z/12=1/4  z=3

Answer:

The answer is z=3

Step-by-step explanation:

hope this helps

z/12 = 18/72

72z=216

To find z divide both sides by 72

72z/72=216/72

z=3

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