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
Nadya [2.5K]
3 years ago
7

In a data set with a normal distribution, the mean is 59 and the standard deviation is 3.

Mathematics
1 answer:
lakkis [162]3 years ago
5 0

Answer:

a) P(53

P(-2

P(-2

b) a=59 +1.96*3=64.88

And for the other limit we have:

a=59 -1.96*3=53.12

And we will have 95% of the values between (53.12, 64.88)

Step-by-step explanation:

Part a

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

X \sim N(59,3)  

Where \mu=59 and \sigma=3

We are interested on this probability :

P(53

And we can solve this using the z score:

z=\frac{x-\mu}{\sigma}

Using the last formula we got:

P(53

And we can find this probability with this difference:

P(-2

And uing the normal standard distribution or excel we got:

P(-2

Part b

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.025   (a)

P(X   (b)

As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.96.

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.96

And if we solve for a we got

a=59 +1.96*3=64.88

And for the other limit we have:

a=59 -1.96*3=53.12

And we will have 95% of the values between (53.12, 64.88)

You might be interested in
Factor 3x^2+11x-4=0 as the product of two linear expressions
kari74 [83]
The answer is : (3x-1)(x+4)
7 0
3 years ago
Jackson hikes 220.2 meters up a mountain. If he is 60% of the way up, how tall is the mountain?
xxTIMURxx [149]
367 meters tall
divide 220.2 by 0.6
3 0
3 years ago
Read 2 more answers
The perimeter of the shape is ______<br><br> feet.
Vika [28.1K]

Answer:

Step-by-step explanation:

1. add the side lengths

10+4+4+2+2+4+4+6\\= 36 ft

4 0
3 years ago
Read 2 more answers
Write the rules for determining the sign of the product when multiplying integers. Then, write the the rules for determining the
kondor19780726 [428]
For multiplication, if both integers have like signs, it is always positive. If they have unlike signs it is negative.
For division, if both integers have like signs it is positive. If they have unlike signs it is negative.
7 0
3 years ago
Which problem can be solved using the equation shown? 2.50x-2.00=10.50
Natalka [10]

Answer:

a

Step-by-step explanation:

i did th test on edg

5 0
3 years ago
Read 2 more answers
Other questions:
  • Please help a) <br>B) <br>C)
    8·1 answer
  • 15 POINTS PLEAEE HELP
    8·1 answer
  • Give me the proprty of this equation 83+6=6+83
    15·1 answer
  • A square has diagonal length 9m. What is the side length of the square, to the nearest centimeter?
    6·1 answer
  • Find the area of the rectangle. <br> 5/6m by 1/3 m = ???? plz help I will give branleist
    7·1 answer
  • Bella needs to paint a logo made using two right triangles. The dimensions of the logo are shown below. What is the area of the
    8·1 answer
  • The population of a small town in Alberta was 2000. The population
    10·1 answer
  • A number that can be writtin as a fraction oftwo integers is called a ....
    7·2 answers
  • What's the distance between (0,2) and (0,8)?
    14·1 answer
  • Given: AB = 12
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!