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
yan [13]
3 years ago
11

. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 5, what is the probability that a person

selected at random will have an IQ of 110 or greater?
Mathematics
1 answer:
bulgar [2K]3 years ago
5 0

Answer:

2.28% probability that a person selected at random will have an IQ of 110 or greater

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 = 100, \sigma = 5

What is the probability that a person selected at random will have an IQ of 110 or greater?

This is 1 subtracted by the pvalue of Z when X = 110. So

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

Z = \frac{110 - 100}{5}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

2.28% probability that a person selected at random will have an IQ of 110 or greater

You might be interested in
PLEASE HELP WITH #6 and #8, DUE SOON!!
Oliga [24]

how do i answer that I don't even know that sorry

3 0
3 years ago
Read 2 more answers
Given that R=9x+8y find x when y=8 and R=4
Ilya [14]

Answer:

Step-by-step explanation:

R = 9x + 8y

4 = 9x + 8*8

4 = 9x + 64

Subtract 64 from both sides

4 - 64 = 9x + 64 - 64

-60 = 9x

Divide both sides by 9

-60/9 = 9x/9

-20/3 = x

x = -6 2/3

8 0
3 years ago
Read 2 more answers
A town's population is 14,280, and it is increasing by 160 people every year. A nearby town has a population of 24,000, and it i
fgiga [73]

Answer:

27 years

Step-by-step explanation:

Given that :

Town A:

Initial population = 14280

Rate = increase by 160 per year

Let t = time in years

Population is thus :

14280 + 160t - - - (1)

Town B:

Initial population = 24000

Rate = decrease by 200 per year

P = 24000 - 200t - - - (2)

Equate both equations :

14280 + 160t = 24000 - 200t

160t + 200t = 24000 - 14280

360t = 9720

t = 9720 / 360

t = 27

In 27 years

7 0
3 years ago
Two cards are drawn from a deck of 52 playing cards. The first card is replaced into the deck before the 2nd card is drawn. What
Firlakuza [10]

Answer:

1/676

Step-by-step explanation:

There are 52 cards

P(Ace of spades) = Number of aces of spades / total = 1/ 52

The replace the card

There are 52 cards

There are 4 kings

P(king) = number of kings / total = 4/52 = 1/13

P( ace of spades , replace, any king) = 1/52 * 1/13 = 1 /676

5 0
3 years ago
What is the sum of i° + k°?
Brut [27]

Answer

1 + 32 + 243 + 1024 + .. + n5

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Please assist me with this problem​
    15·1 answer
  • Belleville High School offers classes on three different foreign languages. Let A be the event that a student is in eleventh gra
    6·2 answers
  • △ABC is similar to △XYZ by the AA Similarity Postulate ​ . The measure of ∠A is 44º and the measure of ∠C is 31º.
    8·1 answer
  • Find the inverse of g(x) = 2x^3 +3<br><br> Step by step working please I want to learn
    14·2 answers
  • Everyone friend me Plz! Why not?<br> Btw What is 3{(x-5)+4}-8=31?
    9·1 answer
  • Sandy grew 8 turnips joan grew 6 turnips how many turnips did they grow in all
    13·2 answers
  • |6m+5|=10<br> That's my question
    7·1 answer
  • Is 4(x+2)+3x+7 equivalent to 7x+14
    7·2 answers
  • 10 added to the difference between t and 8
    14·1 answer
  • Use Pythagorean theorem to find right triangle side lengths 8 and 10
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!