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
ruslelena [56]
3 years ago
14

If the distribution is really N ( 5.43 , 0.54 ) , N(5.43,0.54), what proportion of observations would be less than 5.05 ? 5.05?

(Enter your answer rounded to four decimal places.)
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
6 0

Answer:

P(X

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

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 of interest for a population, and for this case we know the distribution for X is given by:

X \sim N(5.43,0.54)  

Where \mu=5.43 and \sigma=0.54

We are interested on this probability

P(X

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(X

And we can find this probability on this way:

P(Z

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

You might be interested in
I don't know what this means someone help?????
liubo4ka [24]

Answer:

2

Step-by-step explanation:

so 10÷2=5 6÷2=3 3/5

that what u need?

3 0
2 years ago
Read 2 more answers
If f(x) = 6(x − 2), find f(5).<br><br> 18<br> 36<br> 108<br> 216
charle [14.2K]

Answer:

f(5) = 6(5-2) = 18

3 0
3 years ago
Read 2 more answers
I need help please?!!!!!!!!!
Irina-Kira [14]

Answer:

idk

Step-by-step explanation:

5 0
3 years ago
A. 3/5<br> B. -3/5<br> C. -5/3<br> D. 5/3
kogti [31]

Answer:

your answer would be A I think

8 0
3 years ago
Read 2 more answers
Part 2 of this hard test
kvasek [131]
The 6th grade one is b and the teacher one is A
6 0
2 years ago
Read 2 more answers
Other questions:
  • A rectangular field is 90 yards wide and 140 yards long. give the length and width of another rectangular field that has the sam
    5·1 answer
  • Give a # that makes 10 - x &lt; 5 true.
    15·1 answer
  • 0.679 what is the value of 6
    10·1 answer
  • Create a quadratic expression in standard form
    7·1 answer
  • The mean of 100 numerical observation is 51.82. What is the value of the sum of all 100 numbers?
    8·1 answer
  • what proteins embedded in the phospholipid bilayer do what in the cell membrane? A) organize amino acids for protein synthesis B
    13·1 answer
  • What is the perimeter in units uvwxyz
    9·1 answer
  • How to solve x in a step by step response
    5·2 answers
  • What integer represents the following situation? ________________. A scuba diver is 43 feet under the ocean conducting research
    5·2 answers
  • A group of friends were working on a student film. They spent all their budget on props and costumes. They spent $693 on props,
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!