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
VashaNatasha [74]
3 years ago
5

For a given IQ test, an individual is considered a genius if their score falls more than three standard deviations from the mean

. Assuming the population of 1500 individuals fits a normal deviation, how many individuals can you expect to be considered a genius?
a. 2
b. 5
c. 3
d. 8
e. 10
f. 1
Mathematics
1 answer:
ki77a [65]3 years ago
3 0

Answer:

P(Z>3) = 1-P(Z

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a.2

Step-by-step explanation:

1) 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".  

2) Solution to the problem

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

X \sim N(\mu=?,\sigma=?)  

We are interested on this probability

P(X>X+3\mu)

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}

And we can find the following probablity:

P(Z>3) = 1-P(Z

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a/2.0

You might be interested in
One eight of tony's books are mystery books. He has 3 mystery books. How many books does Tony have in all.
miv72 [106K]
<em><u>Tony has 24 books in total</u></em>
4 0
3 years ago
Randy works 50 weeks a year, averaging $500 a week in wages. He is offered a salaried position at $27,500 a year. If he accepts
blagie [28]

Answer:

b. more money

Step-by-step explanation:

Randy's original position lets him make:

50*500 = $25,000

The new position will let him make:

$27,500

Therefore,

original position < new position = $25,000 < $27,500

3 0
2 years ago
Suppose your drama club is planning a production that will cost $525 for the set and $150 per performance. A sold-out performanc
Dimas [21]

<em>C = I</em>

<em>150p + 525 = 325p</em>

<em> 525 = 175p</em>

p = 3


4 0
3 years ago
Read 2 more answers
What number do these words represent?<br> Two-hundred thousand, ninety-seven
Cerrena [4.2K]
200,000 and 97
brainliest pls? lol
7 0
3 years ago
a road rises 16 feet for every 50 feet of horizontal distance covered. in percent what is the grade of the road?
weeeeeb [17]

Answer:

32%

Step-by-step explanation:

The slope of the road is measured as

slope = \frac{rise}{run} = \frac{16}{50}

To express as a percentage multiply the fraction y 100% , that is

slope = \frac{16}{50} × 100% = 16 × 2 = 32%

4 0
2 years ago
Other questions:
  • 5x4x10^3 in standard form
    9·1 answer
  • What is the probability that a randomly selected contestant won a prize, given that the contestant was female write the probabil
    7·1 answer
  • A new electronic store opened recently. There are several sales associate positions that pay an hourly rate of $7.50 plus a 4.5%
    10·1 answer
  • What is the prime factorization if 6400 using exponents
    7·1 answer
  • Please help me, will mark brainliest.
    13·1 answer
  • I need help with this question ?
    9·1 answer
  • PLEASE HELP I POSTED LIKE 2 HOURS AGO WITH THIS QUESTION AND I NEED HELP:)
    12·2 answers
  • Ryan needs 20 feet of cable. The longest piece on her truck is 18 3/8 feet. How many feet too short is the cable on the truck? *
    14·1 answer
  • Asap please !
    12·1 answer
  • Find the perimeter of the figure below, in centimeters. ​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!