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
The formula for perimeter of a rectangle is P=2L+2W where L is the length and w is the width. A rectangle has a perimeter of 24
Black_prince [1.1K]
24=2(w+4)+2w=4w+8, subtract 8 from both sides 4w=16, w=4. L=w+4 so l is 8. The dimensions are 8 by 4.
8 0
3 years ago
The number of direct-report employees to the department directors of a company are as follows: 23, 28, 41, 29, 33, 38, 42, and 1
sergejj [24]

Answer:

Question?

Step-by-step explanation:

?

4 0
3 years ago
Read 2 more answers
Jack leaves from school and goes 4 miles north and 3 miles east to reach his home. How far is his home from school?
fiasKO [112]

Answer:

  • D. 5 miles

Step-by-step explanation:

Jack forms a right triangle with his route: the distance between the school and home is the hypotenuse.

<u>It is equal to:</u>

  • √4²+3²= √25 = 5 miles

Correct choice is D

3 0
3 years ago
Please answer the last conversion !! 531 ms to s
Tcecarenko [31]

Answer:

0.531 s

Hope it helped u if yes mark me BRAINLIEST

5 0
2 years ago
Read 2 more answers
The graphs of functions f(x) and g(x) = f(x) + k are shown below<br><br> what is the value of k?
natali 33 [55]

Answer:

k = 2

Step-by-step explanation:

f(x) and g(x) = f(x) + k

G(x) is the function f(x) moved up k units

G(x) is moved up 2 units so k is 2

5 0
2 years ago
Read 2 more answers
Other questions:
  • Find the values of x y and z
    11·1 answer
  • Two expressions equivalent to 4n-5
    13·1 answer
  • What is the probability of spinning a 2 on the<br> spinner?
    14·2 answers
  • A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(0, 10), a
    7·1 answer
  • Solve for length AB , when A (-3,6) and B (-5,2)
    6·1 answer
  • Kyler ran 1/5 of a mile in 1 1/2 minutes how long will it take him to run 1/2 of a mile
    8·1 answer
  • Please explain and I also need the answer ASAP... I need help with all of them haha...
    10·1 answer
  • The length of a rectangle is (8x – 9) and the width is (2x + 3).
    6·1 answer
  • HELP PLEASE!! I WILL TRY AND GIVE BRAINLEIST TO THE MOST DETAILED ANSWER ON BOTH.
    6·1 answer
  • What principle will amount to $35000 if invested at 6.5% compounded quarterly for 5 year?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!