The probability distribution for the random variable follows. a. Is this a valid probability distribution? - Select your answer - b. What is the probability that (to 2 decimals)? c. What is the probability that is less than or equal to (to 2 decimals)? d. What is the probability that is greater than (to 2 decimals)?

Answers

Answer 1

Complete question :

X: 20__25 ___30 ___35

f(x): 0.20 _0.20_0.25 _0.35

Probability that x = 30

Probaility that x less than or equal to 25

Probability that X is greater than 30

Answer:

Kindly check explanation

Step-by-step explanation:

To establish if it is a valid probability distribution :

The sum of the probabilities must be equal to 1:

Σf(x) = 0.20 + 0.20 + 0.25 + 0.35 = 1

Hence it is valid

Probability that x = 30

P(x = 30) = 0.25

Probability that x ≤ 25 :

P(x = 20) + p(x = 25)

P(x ≤ 25) = 0.20 + 0.20 = 0.40

Probability that x > 30

P(x > 30) = p(x = 35) = 0.35


Related Questions

What is the slope of the line through (-3, 3) and (-1, -1)?​

Answers

Answer:

[tex]m=-2[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in the 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{-1-3}{-1-(-3)}[/tex]

[tex]m=\frac{-4}{-1+3}[/tex]

[tex]m=\frac{-4}{2}[/tex]

[tex]m=-2[/tex]

Use the model to create a problem and solve:
am

Answers

Answer:

where is the model of it. put the model

I need help with this

Answers

Answer:

  see attached

Step-by-step explanation:

The domain is the horizontal extent of the graph. The graph extends to infinity in both directions horizontally (that's what the arrows mean). There are no "holes" because the open circle at x=-1 is matched by a filled circle at the same location.

__

The range is the vertical extent of the graph. The minimum is -3, which is included in the range. The maximum is infinity (as indicated by the up-pointing arrow).

In 1982 John Hinckley was on trial, accused of having attempted to kill the then US President Ronald Reagan. Hinckley was found not guilty by reason of insanity. The defense psychiatric reports found him to be insane while the prosecution reports declared him legally sane. In particular, the defense sought to establish that brain scan results like John Hinckley's appeared in a higher percentage of schizophrenics than of normal people his age.
During Hinckley's trial, an expert witness, Dr. Weinberger, told the court that when individuals suffering from schizophrenia were given computerized axial tomography (CAT) scans, the scans showed brain atrophy in 30% of cases compared with only 2% of scans done on normal people. Health records show that 1.5% of the people in the United States suffer from schizophrenia. Hinckleys CAT scan showed brain atrophy. Calculate the probability that Hinckley suffered from schizophrenia given his CAT scan showed brain atrophy.

Answers

Answer:

O.186 or 18.6%

Step-by-step explanation:

Let s = event of schizophrenia

B = brain atrophy

From our question we have:

P(s) = probability of those suffering from schizophrenia = 1.5% = 0.015

P(B|S) = probability of brain atrophy = 30% = 0.30

P(S') = 1 - 0.015 = 0.985

P(B|S') = 2% = 0.02

Probability Hinckley suffered from schizophrenia

= P(S|B) = P(B|S)P(S)/P(B|S)P(S)+P(B|S')P(S')

= (0.30x0.015)/(0.30)*(0.015)+(0.02)(0.985)

= 0.0045/0.0045+0.0197

= 0.0045/0.0242

= 0.185950

This is approximately 0.186 or 18.6%

Sixty students are invited to an Hono Roll Pizza Party. There are 24
sodas in a package and 18 slices per pizza. What is the least number of
packages of soda and pizzas that can be bought if each person gets
one soda and one slice of pizza?

Answers

Answer:

2.5 boxes of soda or round it to 3

3.3 boxes of pizza or round it to 4

A pipe is 30 feet long. It needs to be cut into pieces that are each 3/5
feet long. How many pieces can be made from the pipe?

Answers

Answer:

The answer is 50

Step-by-step explanation:

30 divided by 3/5= 50

Set of odd whole numbers

Answers

Answer13579




Explanation

whats the midpoint between 2 and 8​

Answers

Answer: 5

Step-by-step explanation:

8+2=10

10/2=5

Answer:

5!!!!!

Step-by-step explanation:

Divide 10 by 2, the result of which is 5, this is the y coordinate of the midpoint. Put the two coordinates together; the midpoint of (0,2) and (2,8) is (1,5).

There you go an... ANSWER<3

WhY DiD ThE LiTlE PiG Go AlL ThE WaY HOmE

Answers

Because he was getting chased

Marcus has a collection of professional basketball player cards. The number of veteran cards is 17 more than 3 times the number of
rookie cards. Which of the following represents the number of veteran cards, v, in terms of the number of rookie cards, n?
A
3 + 17r = v
B. 17 + 3v=r
17 + V = 3r
D.
17 + 3r = V

Answers

Answer:

I think its 17+3r=v so D?? I'm not entirely sure but I believe that's it lol

Michael lives 2 3/5 miles away from the school Sarah lives 1/2 as long as Michael how far does Sarah live from the school

Answers

Answer:

Let's see what to do buddy...

Step-by-step explanation:

[tex]2 \frac{3}{5} miles = \frac{10}{5} + \frac{3}{5} \: miles = \frac{13}{5} \: miles \\ [/tex]

So Michael lives 13/5 miles away from the school.

_________________________________

Sarah lives 1/2 as long as Michael.

So the distance from the school of where Sarah's house located is 1/2 distance from the school of where Michael's house located.

Which means :

[tex] \frac{13}{5} \div 2 = \frac{13}{5} \times \frac{1}{2} = \frac{13}{10} \\ [/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

What’s the slope of the graph?

Answers

Answer:

3/4

Step-by-step explanation:

rise 3 then run 4 rise/run

Brad, a teenager, saves up his monthly allowance over a period of six months to buy a
pair of high-resolution headphones. He lends his friend, Jorge $10 from his savings. If
Brad has $272 now, calculate his monthly allowance.
I

Answers

Answer:

$43.7

Step-by-step explanation:

272-10/6

272-10=262

262/6=43.66666=43.7

The amount of monthly allowance of Brad will be $43.67 per month.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Brad, a teenager, saves up his monthly allowance over a period of six months to buy a pair of high-resolution headphones. He lends his friend, Jorge $10 from his savings. If Brad has $272 now.

Then a monthly allowance of Brad will be given as,

⇒ ($272 - $10) / 6

⇒ $262 / 6

⇒ $43.67

The amount of monthly allowance of Brad will be $43.67 per month.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Kevin went to see his favorite sport team play. His car can go 320 miles on one tank of gas. If he used 50% of a full tank of gas how many miles will he travel

Answers

Answer:

To find the percentage of something you must multiply it by that number divided by 100. So if it were 25% then you would times 300 by 0.25.

in this case though it is 40% of three hundred, so you would make it a decimal and times 300 by 0.4. which would result in 120 miles

Step-by-step explanation:

YOUR WELCOME :)

Which of the following most clearly defines an undefined geometric object? (Click picture).​

Answers

Answer:

A is the correct answer

I’ll give brainly thingy please help me

Answers

Answer:

20%

Step-by-step explanation:

You would have to add 1200 and 300 to get the total amount of students which would be 1500.

Then put 1500 as the denominator and 300 as the numerator since we're talking about the number of students that did NOT wear their school colors. our fraction should then be 300/1500.

If you cross out 2 zeros on both numbers, you'll get 3/15. if you reduce that you get 1/5. 1/5= 20%

An exercise machine with an original price of $830 is on sale at 19% off.

Answers

Answer would be $672.30


Saved
Find all solutions of 5−4 secx = −3 on the interval [0, 2π).

Answers

uterlly useless considering 11-34 is 3

Answer:

[tex]\theta=\dfrac{\pi }{3}\\\\\theta=\dfrac{5\pi }{3}[/tex]

Step-by-step explanation:

[tex]\theta = x[/tex]

[tex]5-4 \sec (\theta) = -3[/tex]

[tex]-4 \sec (\theta) = -3-5[/tex]

[tex]-4 \sec (\theta) = -8[/tex]

[tex]\dfrac{-4 \sec (\theta)}{-4} =\dfrac{-8}{-4}[/tex]

[tex]\sec (\theta)=2[/tex]

Once

[tex]\sec(\theta)=\dfrac{1}{\cos(\theta)}[/tex]

[tex]\sec (\theta)=2 \implies \dfrac{1}{\cos(\theta)}=2 \implies \cos(\theta)=\dfrac{1}{2}[/tex]

The solutions for [tex]\cos(\theta)=\dfrac{1}{2}[/tex] are

[tex]\theta=\dfrac{\pi }{3}+2\pi n, n \in \mathbb{Z}\\\\\theta=\dfrac{5\pi }{3}+2\pi n, n \in \mathbb{Z}[/tex]

But once the interval for the solution was given,

For [tex][0, 2\pi)[/tex]

[tex]\theta=\dfrac{\pi }{3}\\\\\theta=\dfrac{5\pi }{3}[/tex]

what is the measure of B, in degrees?

Answers

Answer:

D, 32 degrees

Step-by-step explanation:

Someone Please help me with this with Step by Step explanation.

Answers

there you go i think thats it

Please help shouldn't be 38?

Answers

Answer:

No it is D.52

Step-by-step explanation:

The angle has to equal 180 degrees.

180-76=104

52 time 2 equals 104

104=104

Answer:

[tex]\boxed {\tt D. \ x=52}[/tex]

Step-by-step explanation:

The 2 angles are 2x and 76. They are on a straight line together. Therefore they are supplementary and add to 180 degrees.

[tex]2x+76=180[/tex]

Solve for x by isolating x on one side of the equation.

76 is added to 2x. The inverse of addition is subtraction. Subtract 76 from both sides of the equation.

[tex]2x+76-76=180-76\\2x=180-76\\2x=104[/tex]

x is multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.

[tex]2x/2=104/2\\x=104/2\\x=52[/tex]

x is equal to 52 and D is the correct answer.

Suppose you go fishing at a local stream that is known for its rainbow trout. The stream has rules about rainbow trout. If they are unusually small, they have to be released back in the stream. All others can be kept or released. If they are unusually large, you're definitely going to want to take a picture for the local fish shop. Rainbow trout in this steram have a mean length of 18.3 inches and a standard deviation of 3.2 inches. Their lengths follow a normal distribution.
Round to the fourth as needed.
You just caught a fish that is 22.78 inches .

Answers

Answer:

23

Step-by-step explanation:

1/4 of 20 bottles of water?

Answers

Answer:

5 bottles of water.

Step-by-step explanation:

Convert 1/4 into 0.25

Multiply 20 to 0.25

20*.25 = 5

Answer: 5

Step-by-step explanation: there is none

2x < 6

Thanks for the answer

Answers

Answer:

Step-by-step explanation:

2x < 6

x < 6 :2

x< 3

Answer:

x=2

2(2)<6

4<6

its not 3 bc that equals 6 which aint less than 6

drf6tgygtfrderftgyhujhy6gt5fr4derftgyhujhygtfrde 2+2

Answers

Answer:

bhbhjubvuvgvguvgyvgk 4

Step-by-step explanation:

bibivxdteuhdry7uhivgd5guy

Answer:

wedfhuaewojflhdisvkldavjwifwjfsjfksvsbvskvnbhkcjwjbcsvjb  2+2=4

Step-by-step explanation:

How is multiplying complex numbers different
from adding or subtracting complex numbers?

Answers

Let P and Q be two complex numbers such that

P = a+bi

Q = c+di

Where a,b,c,d are real numbers and i = sqrt(-1).

This means i^2 = -1.

-------------------

Adding P and Q means

P+Q = (a+bi)+(c+di)

P+Q = a+bi + c+di

P+Q = (a+c) + (bi+di)

P+Q = (a+c) + (b+d)i

As you can see, we just add the corresponding components together.

-------------------

Subtraction is a similar story.

P-Q = (a+bi)-(c+di)

P-Q = a+bi - c-di

P-Q = (a-c) + (bi-di)

P-Q = (a-c) + (b-d)i

We subtract the corresponding components

-------------------

Multiplication is a bit more complicated.

We'll use the FOIL rule

P*Q = (a+bi)*(c+di)

P*Q = a*c + a*di + bi*c + bi*di

P*Q = a*c + ad*i + bc*i + bd*i^2

P*Q = a*c + ad*i + bc*i + bd*(-1)

P*Q = a*c + ad*i + bc*i - bd

P*Q = (ac - bd) + (ad*i + bc*i)

P*Q = (ac - bd) + (ad + bc)i

Unfortunately multiplication isn't as simple as addition or subtraction, but we can at least make a tidy formula for it. You could also use the box method to visually organize the terms into a table to help multiply out P and Q.

Answer:

because they have different stepa

Identify the domain and range of the relation. {(-9,2), (-4, 2), (3, 2), (9,2)​

Answers

Answer:

Domain: - 9, - 4, 3, 9

Range: 2

Step-by-step explanation:

The domain is the first coordinate of an ordered pair. This means that the domain is going to be x. The range is the second coordinate of an ordered pair. This means that the range is going to be y. Since all of the second coordinates are 2 you only have to put 2 once. The domain of the set of ordered pairs is - 9, - 4, 3, 9.

Hope This Helps :)

Dacă aș avea 4 ouă Un hoț îmi dă 3 ouă Cocoșul meu de fermă depune 5 ouăCâte ouă am? ​

Answers

Answer:

Step-by-step explanation:

3 oua

Daca as avea 4 oua - e presupunere. Nu am.

Un hot imi da 3

Cocosul nu face oua

0+3+0=3

If a dozen eggs costs $2.50, how much does 1 egg cost?

Answers

Answer:

The cheapest eggs you'll find can cost as little as 59 cents.

Step-by-step explanation:

Hope that helped :)

Roughly $0.80, just divide your price by the amount of objects you wish to split it among

The bill for the repair of your car was $597. The cost for parte was $268. The cost for labor was $47 per hour. How many hours did the repair work take?

Answers

Answer:

7 hours

Step-by

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