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
Alexandra [31]
3 years ago
13

If the distribution is really (5.43,0.54)

Mathematics
1 answer:
defon3 years ago
7 0

Answer:

0.7486 = 74.86% observations would be less than 5.79

Step-by-step explanation:

I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)

Problems of normally distributed samples can be 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.

The general format of the normal distribution is:

N(mean, standard deviation)

Which means that:

\mu = 5.43, \sigma = 0.54

What proportion of observations would be less than 5.79?

This is the pvalue of Z when X = 5.79. So

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

Z = \frac{5.79 - 5.43}{0.54}

Z = 0.67

Z = 0.67 has a pvalue of 0.7486

0.7486 = 74.86% observations would be less than 5.79

You might be interested in
10 families were asked how many pets they have.here i8s the data.2,3,3,5,4,2,4,0,1,3 find the mean ,medianand mode of the data?
VladimirAG [237]
The mean is 2.7.
The median is: 3
The mode is 3. 
Hope this helps!
pls give Brainliest answer!
p.s. if you need an explanation of how to find the mean, median, and mode, just pm me.
4 0
3 years ago
Read 2 more answers
5. In the morning, Kevin's cat eats 1/2 of a can of cat food. In the afternoon, the cat eats 1/4 of a can of food. In the evenin
ELEN [110]

Answer:

2 cans

Step-by-step explanation:

1/2 + 1/4 + 4/5 = 1.55

2 is the best answer since we know the cat eats more than 1 and a half cans so the closest thing would be 2 cans

5 0
3 years ago
Is 11/15 less than 1/2
Art [367]
No because if you convert them into a percentage, you get 11/15 as 73.3% and 1/2 is 50%. Hope this helps
6 0
3 years ago
Read 2 more answers
Please help me this is due tomorrow thank you
marusya05 [52]

Answer:

The answer is option B.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
It is almost the end of the grading period. I have 730 out of 880 points so far in my math class which means I currently have a
maksim [4K]
What is being asked here? Are they asking for the passing grade or the total with all the other 90 points added? I think it is A, 90%
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the answer to 3(x-20)=15
    15·2 answers
  • Help I luv u if u help me!!!!
    9·2 answers
  • Fill in the blanks
    9·1 answer
  • At the produce counter, 71⁄5 pounds of seedless grapes cost $12.89. How much would 3 pounds cost?
    12·1 answer
  • Choose all the expression that have the same value as the product 0.11 and 4.5.
    7·1 answer
  • Owen has enough materials to build up to 10 birdhouses in shop class. Each birdhouse needs 12 square feet of wood. The function
    5·2 answers
  • Which is greater the 3ed multiple of 10 ot 6th multiple of 5 ​
    8·2 answers
  • ONLY ANSWER IF YOU KNOW THE ANSWER JUST FOR POINTS. Thank you! :)
    15·2 answers
  • Given: Circle k (O), OA and OC -radii, AP and CP - tangents, m∠AOC=150° Find: m∠APC
    5·1 answer
  • Second part to my question ToT Plz help Double points :D
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!