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
DanielleElmas [232]
3 years ago
7

Iq scores are normally distributed with a mean of 100 and a standard deviation of 15.

Mathematics
1 answer:
bearhunter [10]3 years ago
6 0

Mean is \mu=100 and a standard deviation is \sigma =15, then the variable X\sim N(100,15^2).

Use substitution

Z=\dfrac{X-\mu}{\sigma},\\  \\ Z=\dfrac{X-100}{15}.

This substitution gives you that Z\sim N(0,1).

a. For X=130, Z=\dfrac{130-100}{15}=2 and Pr(X>130)=Pr(Z>2) =0.9772 (the decimal value is taken from the Standard Normal Distribution Table).

b. For X=90, Z=\dfrac{90-100}{15}=-\dfrac{2}{3} and for X=110, Z=\dfrac{110-100}{15}=\dfrac{2}{3}. Then Pr(90 (the decimal value is taken from the Standard Normal Distribution Table).

You might be interested in
The theoretical probability of an event is the number of desired outcomes divided by all possible outcomes. What is the probabil
malfutka [58]

The theoretical probaility of drawing an ace from a shuffled deck of playing cards is 1/13.

According to the given question.

A card is drawn from a shuffled standard deck.

Since, the total number of cards in a shuffled standard deck = 52

And, the total number of aces in a shuffled standard deck = 4

As, we know that "the theoretical probability of an event is the number of desired outcomes divided by all possible outcomes".

Therefore, the theoretical probabability of drawing an ace from a shuffled deck of playing cards

= 4/52

= 1/13

Hence, the theoretical probaility of drawing an ace from a shuffled deck of playing cards is 1/13.

Find out more information about theoretical probability here:

brainly.com/question/24037367

#SPJ4

8 0
2 years ago
What is the distance of segment BF (look closely...it isn't drawn)?
Vlad [161]
The distance of BF is 7.07
4 0
3 years ago
You estimate that there are 75 marbles in a jar. The actual amount is 82 marbles. Find the percent error
Vikentia [17]

Answer:

Percent Error:: 12/36 = 33 1/3 %

Step-by-step explanation:

5 0
3 years ago
What are equal intervals?
Lena [83]
It's along the number line 
3 0
3 years ago
Read 2 more answers
1/10( x + 130) = -2(3-X)<br><br> I need help
Artist 52 [7]

Answer:

x = 10

Step-by-step explanation:

1/10(x + 130) = -2(3 - x)

x + 130 = -20(3-x)

x + 130 = -60 + 20x

x - 20x = -60 - 130

-19x = -190

x = 10

5 0
3 years ago
Other questions:
  • Which number is a common multiple of 7and 4<br><br><br> What is the least common multiple of 18and28
    12·1 answer
  • arizona has a land area of 113998 square miles . wyoming has a land area of 97813 square miles .how much greater is the area , i
    14·2 answers
  • A cone and it’s dimensions are shown in the diagram. What is the volume of the cone in cubic inches?
    7·1 answer
  • Ms. Edwards is redecorating her office. She has a choice of 8 colors of paint, 5 kinds of curtains, and 6 colors of carpet. How
    11·1 answer
  • Jena wants to buy a new sweater that is originally priced $48.It is marked down to $35 for a weekend sale. What percent discount
    5·2 answers
  • There is no cure for the common cold, but here are some things you can do. Grandma was right—chicken soup actually is good for a
    8·1 answer
  • Two random samples of 30 individuals were selected. One sample participated in an activity which simulates hard work. The averag
    6·1 answer
  • Does someone know the answer to this ?
    15·1 answer
  • Select all numbers that are prime.<br><br> 10<br><br> 16<br><br> 20<br><br> 25<br><br> 23
    12·2 answers
  • I am greater than 320. You say my number if you start at 324 and count from 10 to 10. I have the same number of tens and ones.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!