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
olchik [2.2K]
3 years ago
6

The Customer Service Center in a large New York department store has determined that the amount of time spent with a customer ab

out a complaint is normally distributed, with a mean of 9.3 minutes and a standard deviation of 2.6 minutes. What is the probability that for a randomly chosen customer with a complaint, the amount of time spent resolving the complaint will be as follows. (Round your answers to four decimal places.)
Mathematics
1 answer:
blagie [28]3 years ago
5 0

Answer:

a) 0.6062

b) 0.9505

c) 0.679

Step-by-step explanation:

The customer service center in a large new york department store has determined tha the amount of time spent with a customer about a complaint is normally distributed, with a mean of 9.3 minutes and a standard deviation of 2.5 minutes. What is the probability that for a randomly chosen customer with a complaint, the amount of time spent resolving the complaint will be

(a) less than 10 minutes?

(b) longer than 5 minutes?

(c) between 8 and 15 minutes?

a) The Z score (z) is given by the equation:

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

Where:

μ is the mean = 9.3 minutes,

σ is the standard deviation = 2.6 minutes and x is the raw score

z=\frac{x-\mu}{\sigma}=\frac{10-9.3}{2.6}=0.27

From the z tables, P(X < 10) = P(z < 0.27) = 0.6062 = 60.62%

b) The Z score (z) is given by the equation:

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

z=\frac{x-\mu}{\sigma}=\frac{5-9.3}{2.6}=-1.65

From the z tables, P(X > 5) = P(z > -1.65) = 1 - P(z < -1.65) = 1 - 0.0495 =  0.9505 = 95.05%

c) For 8 minutes

z=\frac{x-\mu}{\sigma}=\frac{8-9.3}{2.6}=-0.5

For 15 minutes

z=\frac{x-\mu}{\sigma}=\frac{15-9.3}{2.6}=2.19

From the z tables, P(8< X < 15) = P(-0.5 < z < 2.19) = P(z < 2.19) - P(z< -0.5) = 0.9875 - 0.3085 = 0.679 = 67.9%

You might be interested in
Find the slope of the line passing through the pair of given points.<br> (5, 7) and (2,7)
gulaghasi [49]

Answer:

m = 0

Step-by-step explanation:

m = \frac{7 - 7}{5 -2} \\m = \frac{0}{3}\\m = 0

8 0
3 years ago
A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of m
madam [21]

Answer:

Step-by-step explanation:

17 x 0.75 =12.75

12.75 + 1.25= 14

3 0
3 years ago
This week laptops are 25 percent off if a laptop cost $340 what is it's sale price
Nata [24]
The sale price is 255 dollars.
To get the answer you find out that ten percent of 340 is 34 dollars. then you double the percentage which brings you to 68 dollars. but you still have 5 percent left over. Half of the ten percent is 17 dollars. finally you add 68 plus 17 which gives you 84 dollars. Lastly subtract 84 dollars from 340 which gives you 255

Hope this helps! :)
3 0
3 years ago
Read 2 more answers
Solve the system of equations y=9x+13 y=2x+48
MakcuM [25]
Both are equal y. So you can set them equal to each other

9x+13=2x+48

Subtract 2x from both sides

7x+13=48
Subtract 13 from both sides

7x= 35

X=5
7 0
3 years ago
A January 2007 Gallup Poll question asked, "In general, do you think things have gotten better or gotten worse in this country i
Margaret [11]

Answer:

Qualitative variable

Step-by-step explanation:

The response is qualitative variable due to its possible categories. In short, the response can only be divided into categories and cannot be interpreted numerically in a meaningful way. Thus, response is a qualitative variable. Also, the categories involves ordering like better and worse etc so, the measurement of scale would be ordinal in this scenario.

4 0
3 years ago
Other questions:
  • A quality control officer is randomly checking the weights of sugar bags being filled by an automatic filling machine. Each bag
    8·2 answers
  • Simplify <br>-1^3 <br>(-5)^2 ​
    12·1 answer
  • The product of two numbers is 62.7. If one number is 5.5, find the other number? Need it fastttttttttt with steps
    6·1 answer
  • PLEASE HELP HURRY ITS URGENT
    8·1 answer
  • May someone pls help, I’m a bit confused
    14·1 answer
  • You wanted to make the perfect banana split sundae. There are 9 items that you need and
    15·1 answer
  • Peyton is building a model tower using plastic bricks. The height of the tower is proportional to how many layers of bricks he u
    5·1 answer
  • Your favorite ice cream shop has 21 flavors. You want to see which flavors are most popular. Which type of chart would be best f
    7·1 answer
  • The angle \theta_1θ 1 ​ theta, start subscript, 1, end subscript is located in Quadrant \text{III}IIIstart text, I, I, I, end te
    8·1 answer
  • 7) Which statement about perpendicular lines is true?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!