1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aleksandr [31]
2 years ago
8

Assume the random variable X is normally distributed with meanmu equals 50μ=50and standard deviationsigma equals 7σ=7.Compute th

e probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.Upper P left parenthesis 35 less than Upper X less than 65 right parenthesisP(35
Mathematics
1 answer:
nekit [7.7K]2 years ago
6 0

Answer:

P(35

And we can find this probability with the following difference and using the normal standard table or excel we have:

P(-2.143

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(50,7)  

Where \mu=50 and \sigma=7

We are interested on this probability

P(35

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(35

And we can find this probability with the following difference and using the normal standard table or excel we have:

P(-2.143

You might be interested in
Write the equation of a circle whose center is at (-1,5) and radius is 8
labwork [276]

Answer:

X²+y²+2x-10y+18=0 is the equation of circle

Step-by-step explanation:

Eqn of circle is: (x-h) ²+(y-k)²=r²

At (h, k) =(-1,5) and r=8 where h, k are center and r is radius.

Eqn is :(x+1)²+(y-5)²=8²

Or, x²+2x+1+y²-10y+25=8

Or, x²+y²+2x-10y+18=0 is the equation of circle

6 0
2 years ago
What is it called when you lose or gain electrons?
yarga [219]

Answer:

Ionic bonding is called when you lose or gain electrons.

7 0
3 years ago
6x+2y=18 can someone please help me with this
Mice21 [21]

Answer: m=-3

Step-by-step explanation: I know okie i jast want points

8 0
2 years ago
X2y3z - y3z2 – xyz2 + yz3
Aloiza [94]
Sorry if it’s wrong but I think it’s like that

8 0
3 years ago
This is so simple BUT I CANT FIGURE IT OUT HELP ME PLEASE
timofeeve [1]

Answer:

(x+4) (x-8)

Step-by-step explanation:

The function is represented by the zeros

(x-a) (x-b) ....... = 0  where a,b,..... are the zeros

There are 2 zeros so there are 2 factors

( x- -4) ( x-8) = 0

(x+4) (x-8) =0

7 0
3 years ago
Read 2 more answers
Other questions:
  • In the diagram GH bisects ∠FGI
    11·1 answer
  • Find the area of a regular hexagon with a base of 15 and an apothem of 20.
    9·1 answer
  • in the first year there are 35 participants in the third year there were 57 participants. how many participants are predicted fo
    10·1 answer
  • Solve: 2 In 3 = In(x-4)<br> x= 9<br> x = 10<br> x = 13<br> DONE
    10·2 answers
  • Please help me guys :(((((((
    9·1 answer
  • Which of the following best describes the expression 7(y + 5)?
    5·1 answer
  • Does the graph represent a function?
    10·2 answers
  • Write MDCCCXXXVI as a number.
    5·2 answers
  • What is 2x-6=16<br> please help
    15·2 answers
  • Which expressions are equivalent to, 8m + 6 *
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!