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
Allisa [31]
2 years ago
12

6. A bank auditor claims that credit card balances are normally distributed, with a mean of $3570

Mathematics
1 answer:
sergejj [24]2 years ago
4 0

Answer:

Probability that their mean credit card  balance is less than $2500 is 0.0073.

Step-by-step explanation:

We are given that a bank auditor claims that credit card balances are normally distributed, with a mean of $3570  and a standard deviation of $980.

You randomly select 5 credit card holders.

Let<em> </em>\bar X<em> = </em><u><em>sample mean credit card balance</em></u>

The z score probability distribution for sample mean is given by;

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

where, \mu = population mean credit card balance = $3570

            \sigma = standard deviation = $980

            n = sample of credit card holders = 5

Now, the probability that their mean credit card  balance is less than $2500 is given by = P(\bar X<em> </em>< $2500)

    P(\bar X<em> </em>< $2500) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{2500-3570}{\frac{980}{\sqrt{5} } } ) = P(Z < -2.44) = 1 - P(Z \leq 2.44)

                                                               = 1 - 0.9927 = 0.0073

The above probability is calculated by looking at the value of x = 2.44 in the z table which has an area of 0.9927.

Therefore, probability that their mean credit card  balance is less than $2500 is 0.0073.

You might be interested in
Found to the nearest tenth 2.26795
Flura [38]

Answer: 2.3

Step-by-step explanation:

4 0
1 year ago
find the length of a rectangular lot with a perimeter of 140 m if the length is 6 m more than the width.
satela [25.4K]
The width would be x.
the length would be x+6
there are two of each (since it’s a rectangle)
so x+x+x+6+x+6=140
simplify
x= 32
l= 38
w= 32
7 0
3 years ago
Please Help! I will give brainliest!
sdas [7]

Answer:

D

Step-by-step explanation:

7 0
2 years ago
Pls help I will really appreciate it
Lostsunrise [7]

Answer:

Side KL.

Step-by-step explanation:

Side KL will have a negative slope due to the reflection of side 1 , then the 90 degree clockwise rotation will  will take it down  towards the x axis and it will then have a positive slope,

5 0
3 years ago
Write<br> 17/100<br> as a percentage.<br> HELPP ME I LITERALLY DINT KNOW IM Slowww
Readme [11.4K]

Answer:

17 / 100 = 0.17 %

I hope it is helpful

6 0
3 years ago
Other questions:
  • Carolyn determines that the area of a white triangle is half the area of a shaded triangle because the ratio of the side lengths
    12·1 answer
  • 125 feet in 5 seconds what is the answer
    7·2 answers
  • 4x - y = 6 and 2x - y/2 =4
    5·1 answer
  • Leslie and Jenny are two of the partners in a business. Leslie makes $3 in profits for every $4 that Jenny makes. If Jenny makes
    14·1 answer
  • Use the binomial theorem to compute (2x-1)^5
    15·1 answer
  • What is the solution to this system of equations?
    13·1 answer
  • kendra is 3 times her dauters age plus 7 years kendra is 49 years old. write an equation to find he duaghters age?
    8·1 answer
  • Marion has 15 oatmeal cookies and 20 peanut butter cookies. If
    13·1 answer
  • The graph shows the distance Liam traveled from school in miles (y) as a function of time in seconds (x). The graph is divided i
    10·2 answers
  • Use the two point (0,9) and (8,5) to write the equation in slope-intercept form.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!