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
stepan [7]
3 years ago
5

A study was made of seat belt use among children who were involved in car crashes that caused them to be hospitalized. It was fo

und that children not wearing any restraints had hospital stays with a mean of 7.37 days and a standard deviation of 1.25 days with an approximately normal distribution. (a) Find the probability that their hospital stay is from 5 to 6 days, rounded to five decimal places. .10756 (b) Find the probability that their hospital stay is greater than 6 days, rounded to five decimal places.
Mathematics
1 answer:
borishaifa [10]3 years ago
8 0

Answer:

a) P(5

And we can find this probability with this difference:

P(-1.90

And using the norma standard distribution or excel we got:

P(-1.90

b) P(X>6) =P(Z> \frac{6-7.37}{1.25}) = P(Z>-1.096)

And using the complement rule we got:

P(Z>-1.096) =1-P(Z

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

X \sim N(7.37,1.25)  

Where \mu=7.37 and \sigma=1.25

We are interested on this probability

P(5

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

P(5

And we can find this probability with this difference:

P(-1.90

And using the norma standard distribution or excel we got:

P(-1.90

Part b

For this case we want this probability:

P(X>6)

And we can use the z score and we got:

P(X>6) =P(Z> \frac{6-7.37}{1.25}) = P(Z>-1.096)

And using the complement rule we got:

P(Z>-1.096) =1-P(Z

You might be interested in
What is 5.27 in Tenths place
Aloiza [94]
5.3 would be round to the tenth place.


3 0
3 years ago
Read 2 more answers
(25 Points) What is the area of a triangle that has a base of 3 feet and a height of 6 feet?
ycow [4]
The answers is 9 ft^2
4 0
3 years ago
Read 2 more answers
Given the points A(3, 1), B(6, y) and C(12, -2) find the value(s) of y if…
Musya8 [376]

Answer:

B. The lines AB and BC are perpendicular.

Step-by-step explanation:

If all the points are doubled on the x-axis, they are perpendicular.

hope this helps.

8 0
2 years ago
Read 2 more answers
What would the missing coordinate be if there was an inverse relationship between points (12,3) and (x,9)
Paraphin [41]

Answer:

4.

Step-by-step explanation:

inverse proportion:

12/3=x/9.

3x3=9 therefore 12/3 which is 4.

The missing coordinate is 4.

Hope this helps plz hit the crown :D

5 0
2 years ago
HELP ASAP PLS PLS PLS !
Maslowich

Answer:

(b) the unknown angle is 80°

Step-by-step explanation:

The unkown angle is:

[2(x-10)]°

Substituting "x" by 50 (part a)

[2(50-10)]°=[2(40)]°=80°

6 0
3 years ago
Other questions:
  • Help me please. I have tried so hard and I need help.
    11·1 answer
  • 35÷(-7)+6 how do i do this prob.
    14·2 answers
  • What is the weight in grams of a liquid that exactly fills 163.5 ml container if the density of the liquid is .492 G / milliliIt
    8·1 answer
  • Approximately 4/5 of U.S homeowners have a cell phone. what percent of homeowners do not have a cell phone
    13·1 answer
  • 2x + y < 10
    15·1 answer
  • BRAINLIEST, THANKS, 5 STARS ! Correct and fast answers needed!!!!
    6·1 answer
  • What are the psotive sqwhare roots of 1
    6·1 answer
  • Noah built a fenced dog run that is 8 yards long and 5 yards wide. He placed posts at every corner and every yard along the leng
    8·1 answer
  • <1 and <2 are supplementary angles m<1 = x-29 and m<2 = x+71 Find the measure of each angle
    12·1 answer
  • 1/6 divided by 2/10<br> whoever answers first gets a brainlyest
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!