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
You asked 50 randomly chosen employees of a company how many books they read each month. the diagram show the results. there 600
podryga [215]

Answer:

About 432 people read at least one book per month.

Step-by-step explanation:

36/50 people read at least one book, multiply 36/50 by 12 to make the fraction 432/600.

8 0
2 years ago
What is the completely factored form of 12xy-9x-8y+6?
PilotLPTM [1.2K]
Rearrange slightly...

12xy-8y-9x+6 now factor 1st and 2nd pair of terms

4y(3x-2)-3(3x-2)

(4y-3)(3x-2)
8 0
3 years ago
Read 2 more answers
URGENT, literally will give 40 points and dub thee brainliest
Elden [556K]

Answer:

D

Step-by-step explanation:

6 0
2 years ago
Please help me with this question.
Amiraneli [1.4K]
Newton is 762 Km east of Mayfield. 

I send you a file wich the answer. 

4 0
2 years ago
Read 2 more answers
The price of tomatoes went from $1.12 per pound to $1.96 per pound in 3 years. find the rate of change of the price of tomatoes.
ad-work [718]

\bf \begin{array}{|cc|ll} \cline{1-2} \stackrel{x}{year}&\stackrel{y}{price}\\ \cline{1-2} 0&1.12\\ 3&1.96\\ \cline{1-2} \end{array}~\hspace{10em} (\stackrel{x_1}{0}~,~\stackrel{y_1}{1.12})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{1.96}) \\\\\\ \stackrel{\textit{rate of change}}{slope = m\implies} \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1.96-1.12}{3-0}\implies \cfrac{0.84}{3}\implies 0.28

7 0
3 years ago
Other questions:
  • The product of two numbers,A and B is 840.The difference between the two numbers, A and C is 816 given that C is the greatest nu
    6·2 answers
  • I forgot!!!!!!<br><br> 52-:-8=?????
    5·1 answer
  • What is the answer?! Please help!
    7·1 answer
  • A gift box is in the shape of a trapezoidal prism with the base lengths of 7 inches and 5 inches and a height of 4 inches. The h
    14·1 answer
  • A random number generator is used to create a list of 300 single-digit numbers. Of those 300 numbers, 146 are odd and 154 are ev
    8·2 answers
  • 6+2(5-3a)=2a(2+8).....
    10·1 answer
  • Need help for 16) and 19) Solve each equation and check. Show all work please
    7·2 answers
  • The perimeter of a rectangle is 96 feet, and the width is 22 feet. What is the length
    15·1 answer
  • A squared plus b squared equals c squared calculator
    15·1 answer
  • To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!