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
DiKsa [7]
3 years ago
6

Yearly healthcare expenses for a family of four are normally distributed with a mean expense equal to $3,000 and a standard devi

ation equal to $500. A sample of 36 families was selected and the mean and standard deviation were was found to be $3250 and $400 respectively. What is the probability of healthcare expenses in the population being greater than $4,000?
Mathematics
1 answer:
Misha Larkins [42]3 years ago
6 0

Answer:

The probability of healthcare expenses in the population being greater than $4,000 is 0.02275.

Step-by-step explanation:

We are given that yearly healthcare expenses for a family of four are normally distributed with a mean expense equal to $3,000 and a standard deviation equal to $500.

Let X = <u><em>yearly healthcare expenses of a family</em></u>

The z-score probability distribution for the normal distribution is given by;

                            Z  =  \frac{ X-\mu}{\sigma} }  ~ N(0,1)

where, \mu = population mean expense = $3,000

            \sigma = standard deviation = $500

Now, the probability of healthcare expenses in the population being greater than $4,000 is given by = P(X > $4,000)

     P(X > $4,000) = P( \frac{ X-\mu}{\sigma} } > \frac{4,000-3,000}{{500}{ } } ) = P(Z > 2) = 1 - P(Z \leq 2)

                                                                  = 1 - 0.97725 = <u>0.02275</u>

The above probability is calculated by looking at the value of x = 2 in the z table which has an area of 0.97725.

You might be interested in
In the xy -coordinate plane, the coordinates of point s are (-2,-6), and coordinates of point T are (18,9). Point Q lies on line
ira [324]

Answer:

(6,0)

Step-by-step explanation:

The coordinates of the points dividing the line segment in ratio m:n can be calculated as:

(\frac{mx_{2}+nx_{1}}{m+n} ,\frac{my_{2}+ny_{1}}{m+n} )

Here x1, y1 are the coordinates of first point S (-2, -6) and x2, y2 are the coordinates of second point T(18, 9).

In this case m will be 2 and n will be 3 as the ratio is 2:3

Using all these values we can find the coordinates of point Q

( \frac{2(18)+3(-2)}{2+3},\frac{2(9)+3(-6)}{2+3} )\\\\ = (\frac{30}{5} ,\frac{0}{5} )\\\\ =(6,0)

Thus, the coordinates of point Q which divides the line segment ST in ratio of 2:3 are (6,0)

5 0
2 years ago
OBEE
Rudik [331]
Unicorn icon icon icon Oml lawn
8 0
3 years ago
What is 0.2% of 3,542​
beks73 [17]
The answer is 7.084. Just multiply 3542 by .002 to find the answer.
7 0
3 years ago
Read 2 more answers
Cx+b=3(x-c) solve for x
Dafna11 [192]
I hope this helps you

5 0
3 years ago
Read 2 more answers
10 points!!
Contact [7]
The slope of the equation would be 7/3 since the original slope was -3/7. We already know y int (b) so the eqn is

y = 7/3x + 2
3 0
2 years ago
Other questions:
  • David's salary totals $79,000 per year. He can expect to pay federal income tax at a rate of 23.60%. How much money will David p
    15·2 answers
  • Label each number as rational or irrational
    5·2 answers
  • One month, Ruby worked 6 hours more than isaac, and Svethlana worked 4 times as many hours as Ruby. Together they worked 126 hou
    10·1 answer
  • grace had 97 candy's she gave all the kids in her class she had 7 left how many kids are in graces class
    5·2 answers
  • A. 5x10 to the third power
    5·2 answers
  • There are 3 meters from A to B, 22 meters from B to C, 5 meters from C to D, and 7 meters from D to E. What is the distance from
    6·1 answer
  • Point M on line segment LN.Given MN=<br> 2 and LM=<br> 4. determine the length LN
    13·1 answer
  • Y = -3x + 6
    7·2 answers
  • How do i correctly label the triangle?​
    6·1 answer
  • write two equations that when graphed look like this *see image*. please help its due soon and i will give ya 75 points for answ
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!