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]
3 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]3 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
(-2,3) and slope m=9
klemol [59]

Answer:

9

Step-by-step explanation:

7 0
2 years ago
What is an equation that passes through (18,2) and is parallel to 3y-x=-12
MrRa [10]
3(2)-18=-12
6-18 = -12
-12 = -12
5 0
3 years ago
If a math test has questions on spelling, the test does not<br><br> have this type of validity.
Arada [10]

Answer:

yes

Step-by-step explanation:

because its true

8 0
2 years ago
Read 2 more answers
The truck is going to be packed with washing machines. These measure 5 ft. by 5 ft. by 6 ft. How many washing machines can be pa
Leto [7]

Answer:

I will answer

Step-by-step explanation:

how much is the truck in area

7 0
3 years ago
Read 2 more answers
A biker travels the 120 mi from New York , NY to Wilmington, DE in 8 hours. A bus, a truck, and a rider on a horse take the same
pickupchik [31]

Answer:

First, remember the relation:

Distance = Speed*Time.

We know that the distance is 120mi.

A) For the biker we know that:

Time  = 8hours.

Speed = Distance/Time = 120mi/8h = 15 mi/h.

B) For the bus we know that:

Time = 2 hours.

Speed = Distance/Time = 120mi/2h = 60 mi/h.

C) For the truck we know that:

Time = 2.5 hours.

Speed = Distance/Time = 120mi/2.5h = 48 mi/h.

D) For the rider on a horse we know that:

Time = 18.75 hours.

Speed = Distance/Time = 120mi/18.75h = 6.4 mi/h.

E) The equation for the speed is:

Speed = Distance/Time.

You can see that time is in the denominator, this means that if for a fixed distance, the time increases, then the denominator increases, which would imply that the speed decreases.

Then the speed is inversely proportional to the time when the distance is fixed.

4 0
3 years ago
Other questions:
  • (5) in simplist fraction form
    15·2 answers
  • Answer the question answer question
    5·2 answers
  • Pls helppp ASAP pls
    7·2 answers
  • List all the factors of 45 from least to greatest<br> om te onareto nech factor
    14·1 answer
  • LA= LD<br> True or false
    8·2 answers
  • the sales price for a bicycle $315. the original price was first discounted by 5o% and then discounted by 10%. find the original
    10·1 answer
  • Work out the area of the shaded shape 4m 9m 14m 8m
    6·1 answer
  • How would you describe the graph for the equation lxl=2 ?
    5·1 answer
  • Please help i’m giving brainlest i need to finish this very soon:(
    12·1 answer
  • Natalie just rented an apartment for $900 a month for the first year. She was told that the rent will increase by $50 each year.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!