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
zmey [24]
3 years ago
9

Suppose a student's score on a standardize test to be a continuous random variable whose distribution follows the Normal curve.

(a) If the average test score is 510 with a standard deviation of 100 points, what percentage of students scored below 300? Enter as a percentage to the nearest tenth of a percent. % (b) What score puts someone in the 90th percentile? Start by finding z such that P(Z < z) = 0.90, then find what test score has that z value. Round to the nearest whole score:
Mathematics
1 answer:
blsea [12.9K]3 years ago
5 0

Answer:

a) Percentage of students scored below 300 is 1.79%.

b) Score puts someone in the 90th percentile is 638.

Step-by-step explanation:

Given : Suppose a student's score on a standardize test to be a continuous random variable whose distribution follows the Normal curve.

(a) If the average test score is 510 with a standard deviation of 100 points.

To find : What percentage of students scored below 300 ?

Solution :

Mean \mu=510,

Standard deviation \sigma=100

Sample mean x=300

Percentage of students scored below 300 is given by,

P(Z\leq \frac{x-\mu}{\sigma})\times 100

=P(Z\leq \frac{300-510}{100})\times 100

=P(Z\leq \frac{-210}{100})\times 100

=P(Z\leq-2.1)\times 100

=0.0179\times 100

=1.79\%

Percentage of students scored below 300 is 1.79%.

(b) What score puts someone in the 90th percentile?

90th percentile is such that,

P(x\leq t)=0.90

Now, P(\frac{x-\mu}{\sigma} < \frac{t-\mu}{\sigma})=0.90

P(Z< \frac{t-\mu}{\sigma})=0.90

\frac{t-\mu}{\sigma}=1.28

\frac{t-510}{100}=1.28

t-510=128

t=128+510

t=638

Score puts someone in the 90th percentile is 638.

You might be interested in
The height of a right square pyramid is multiplied by 6, but the area of the base remains fixed. What is the volume of the talle
Butoxors [25]

Answer:

I’m pretty sure it’s 6 but I’m not 100% sure

Step-by-step explanation:

3 0
3 years ago
Will give BRAINLIEST!!!! Answer fast!!! If a + b + c =−2 and x + y = 10, what is -9a + 2x - 9b - 9c + 2y?
riadik2000 [5.3K]
A^5b^3 is your answer

 
5 0
3 years ago
O resultado da. Soma de (-26)com (+5) ?
zalisa [80]

Answer:

(-26) (+5)

=-+= -

it means -26-5

Answer 21

6 0
3 years ago
(8-2•29) divided by 3
Nesterboy [21]

[(8 - 2 * 29)]/3

Let's solve inside the brackets first.

According to PEMDAS, multiplication gets solved before subtraction so multiply 2 * 29 in the parentheses.

[(8 - 58)]/3

Subtract 58 from 8 in the parentheses.

(-50)/3

Divide -50 by 3.

-16.667 or -16 2/3 is your answer.

4 0
3 years ago
Joe drank 4 liters of water on Monday an 4 deciliters of water on Tuesday how much more water did he drink on Monday than on Tue
oksian1 [2.3K]
10 times the amount, or 3.6 liters more.
8 0
3 years ago
Other questions:
  • 40 points I'll mark you as BRAINLIEST for the person with the right answers .
    15·1 answer
  • Julio and David were in Target and decided to check out the clearance section. They found pencils and erasers that were on sale
    7·1 answer
  • Make up a story to go with the graph. You can refer to the line segments by color or number.
    14·1 answer
  • PLEASE HELP!!! 50 POINTS AWARDED!!
    8·2 answers
  • Let U=(1,2,3,4,5,6,7,8) A={1,3,5,7} B={1,3,5,7} C={5,8} D={2,5,8}. What is the subset
    15·1 answer
  • Randy wants to draw isosceles right triangles on a coordinate plane that have two vertices at (-1,6) and (-1,-2). If the coordin
    5·1 answer
  • 3/7×2/3 is what as a fraction?
    5·1 answer
  • WILL GIVE BRAINIEST TO THE CORRECT ANSWER!
    14·1 answer
  • What is the domain of f/g given f(x) = x+4 and g(x) = x-1
    6·1 answer
  • GIVING BRAINLIEST PLEASE ANSWER
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!