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
Natali [406]
3 years ago
7

For bone density scores that are normally distributed with a mean of 0 and a standard deviation of 1, find the percentage of sco

res that area. significantly high (or at least 2 standard deviations above the mean).b. significantly low (or at least 2 standard deviations below the mean).c.
Mathematics
1 answer:
Alex787 [66]3 years ago
6 0

Answer:

a) P(Z>2)

For this case we can use the normal standard table or excel and the complement rule and we got:

P(Z>2) =1-P(Z

b) P(Z

For this case we can use the normal standard table or excel and we got:

P(Z

c) P(-2

And we can find this probability with this difference:

P(-2

Step-by-step explanation:

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".  

Part a

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

Z \sim N(0,1)  

Where \mu=0 and \sigma=1

We are interested on this probability

P(Z>2)

For this case we can use the normal standard table or excel and the complement rule and we got:

P(Z>2) =1-P(Z

Part b

We are interested on this probability

P(Z

For this case we can use the normal standard table or excel and we got:

P(Z

Part c: not significant​ (or less than 2 standard deviations away from the​ mean).

For this case we want this probability:

P(-2

And we can find this probability with this difference:

P(-2

You might be interested in
HaLp PwEaSe <br>what is the least common denominator(LDC) of 5/6 and 11/4 hurry pwease
AleksAgata [21]

Answer:

2

Step-by-step explanation:

3 0
3 years ago
Suppose Karen $1000 that she invests in an account that pays 3% interest compounded annually. How much money does Karen have at
dolphi86 [110]
3%of 1000x3 then that’s ur asnwerer
5 0
3 years ago
Look at the image provided below to answer the question, please.
In-s [12.5K]

Answer:

reflection

Step-by-step explanation:

have a good Day

5 0
3 years ago
Read 2 more answers
A large tire company has 230 employees. There are 4 times as many mechanics as supervisors, and 10 more supervisors than account
Alex787 [66]
So your variable are these
x= # of accountants
x+10= # of supervisors
4(x+10)= # of mechanics
So you get the equation x+ (x+10) + (4x+40) = 230
and you solve for x
6x + 50 = 230
6x = 180
x=30
so accountants = 30
supervisors = 40
Mecahnics = 160
6 0
3 years ago
The difference of a number and 10 is less than 4​
Ilya [14]
1 or 3? I don’t really know
4 0
3 years ago
Other questions:
  • Keith exercises x hours a week. troy exercises three hours less than keith and joe exercises two times more than troy. which exp
    7·1 answer
  • The size of airmail packages is it continuous or discrete?
    9·2 answers
  • Suppose your heart beats 70 times a minute <br>how long would it taake to beat 1 million times
    12·2 answers
  • 70,000 ones equal how many thousands?
    8·2 answers
  • 9. Solve the system of equations using substitution.<br>y = 2x - 10<br>y = 4x - 8​
    12·2 answers
  • Can anyone help please
    9·1 answer
  • Write an algebraic equation that relates the Profit to the Number of T-Shirts Sold. Use n to represent T-Shirts and p to represe
    15·1 answer
  • Find the area of the triangle
    9·2 answers
  • PLEASE HELP GEOMETRY EXPLAIN PLEASE<br> I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!
    5·1 answer
  • I need help please help me :(
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!