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
Oliga [24]
3 years ago
10

Assume that adults have IQ scores that are normally distributed with a mean of mu equals 100μ=100 and a standard deviation sigma

equals 20σ=20. Find the probability that a randomly selected adult has an IQ between 8686 and 114114.
Mathematics
1 answer:
Ksivusya [100]3 years ago
3 0

Answer:

51.60% probability that a randomly selected adult has an IQ between 86 and 114.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 114, \sigma = 86

Find the probability that a randomly selected adult has an IQ between 86 and 114.

Pvalue of Z when X = 114 subtracted by the pvalue of Z when X = 86. So

X = 114

Z = \frac{X - \mu}{\sigma}

Z = \frac{114 - 100}{20}

Z = 0.7

Z = 0.7 has a pvalue of 0.7580

X = 86

Z = \frac{X - \mu}{\sigma}

Z = \frac{86 - 100}{20}

Z = -0.7

Z = -0.7 has a pvalue of 0.2420

0.7580 - 0.2420 = 0.5160

51.60% probability that a randomly selected adult has an IQ between 86 and 114.

You might be interested in
Please solve this literal equation for the variable "f"
Tatiana [17]
\frac{df+10}{6}= g

Now, multiply both sides by 6 and you get.....

 df+10=6g

now, subtract 10 on both sides and you get.....

df=6g-10

now divide both sides by d to get f by itself and you get........

f= \frac{6g-10}{d}

8 0
3 years ago
When you multiply a pair of conjugates you get a real number
marusya05 [52]

Answer: The complex conjugate has a very special property. Consider what happens when we multiply a complex number by its complex conjugate. We find that the answer is a purely real number  it has no imaginary part. This always happens when a complex number is multiplied by its conjugate the result is real number.

Real numbers can be positive or negative, and include the number zero. They are called real numbers because they are not imaginary, which is a different system of numbers

Step-by-step explanation: Every complex number has a complex conjugate. The complex conjugate of a + bi is a - bi. For example, the conjugate of 3 + 15i is 3 - 15i, and the conjugate of 5 - 6i is 5 + 6i.

4 0
3 years ago
A plumber charges $50 to make a house call. He also charges $25 per hour for labor. If the bill from the plumber is $162.50.
blsea [12.9K]
4.5 hrs because 162.50-50 = 112.50
112.50/25= 4.5
3 0
2 years ago
Find the value of y for the given value of x.<br><br> y=2x−3;x=−4
BlackZzzverrR [31]
Y=-11. 2×-4 is -8, and -8-3 is -11.
8 0
3 years ago
Find the product. (4/5)(9/5)(-1/2)
MatroZZZ [7]
I believe it’s -0.72
5 0
3 years ago
Read 2 more answers
Other questions:
  • Help me solve 11-2(x-5)
    14·2 answers
  • the larger of two numbers is 1 less than 3 times the smaller number. if twice the smaller is increased by the larger number, the
    15·1 answer
  • luna ray has 1 orange pick for every 2 green picks. how many green picks does luna have if she has 12 total picks.
    8·2 answers
  • Seniors at a certain high school took a survey regarding future plans. All plan to attend college some time; however, 77% plan t
    11·1 answer
  • What is the value of x?
    6·2 answers
  • 87th<br> 0<br> 0<br> What is the value of y?
    13·1 answer
  • The area of a circle is a square miles. What is the circumference?
    13·1 answer
  • Select the correct answer.<br> -Plato- The Tangent line problem: Mastery test
    15·1 answer
  • A new youth sports center is being built in a safe harbor. The perimeter of the rectangular playing field is 510 yards. The leng
    7·1 answer
  • K + a = v + w, for a
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!