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
posledela
3 years ago
14

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 10.1 minutes and a standard deviation of 2.8 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.)(a) less than 10 minutes (b) longer than 5 minutes (c) between 8 and 15 minutes
Mathematics
1 answer:
Paul [167]3 years ago
4 0

Answer:

0.6395 ; 0.9657 ; 0.7333

Step-by-step explanation:

Given that:

Mean (m) = 10.1

Standard deviation (s) = 2.8

Obtain the following probabilities :

a) less than 10 minutes

P(x < 10)

Z = (x - m) / s

Z = (10 - 10.1) / 2.8

Z = 0.1 / 2.8

Z = 0.0357142

P(Z < 0.357) = 0.6395 ( Z probability calculator)

(b) longer than 5 minutes

P(x > 5)

Z = (x - m) / s

Z = (5 - 10.1) / 2.8

Z = −1.821428

P(Z < - 1.821) = 0.9657 ( Z probability calculator)

(c) between 8 and 15 minutes

P(8 < x < 15)

P(x < 8)

Z = (x - m) / s

Z = (8 - 10.1) / 2.8

Z = − 0.75

P(Z < - 0.75) = 0.22663 ( Z probability calculator)

P(x < 15)

Z = (x - m) / s

Z = (15 - 10.1) / 2.8

Z = 1.75

P(Z < 1.75) = 0.95994 ( Z probability calculator)

P(Z < 1.75) - P(Z < - 0.75)

0.95994 - 0.22663 = 0.7333

You might be interested in
Which variable is most important to the following problem?
Firlakuza [10]

Answer:

$23.50

Step-by-step explanation:

multiply 12 by 1.75 then add 2.50 to it to get the cost of taxi fee of 12 miles

4 0
3 years ago
Can you please help me​
Sonja [21]

Answer:

its (420) because (listed below)

Step-by-step explanation:

The traingular is pointing down left and 420 and the angle towards down left. Your welcome!

<h2>HAVE A BLESSED DAY AND STAY SAFE (:</h2>
3 0
2 years ago
Which expressions are equivalent to 5(-2k-3)+2k
bulgar [2K]

Answer:

-8k - 15

Step-by-step explanation:

5(-2k-3)+2k

At first, we will break the parenthesis. To break that, we will multiply the value inside the parenthesis by the adjacent number, that is 5. Again, we have to consider the Algebraic operation (Golden rule) -

[(-) x (-) = (+); (+) x (-) = (-)]

Therefore, since there is a minus sign in each of the value inside the parenthesis, the result will be minus as 5 is a positive integer.

or, -5*(2k) - (5*3) + 2k

or, -10k - 15 + 2k

or, -8k - 15 (after the deduction)

The answer is = -8k - 15

6 0
3 years ago
Ollie and 5 of his friends are going bowling. The cost for each of them is $12.30. How could you mentally go about finding the t
nika2105 [10]

Answer:

The answer is 73.8

Step-by-step explanation:

Just multiply 12.30 by 6 5 friends and olly

4 0
2 years ago
Read 2 more answers
Which is the inverse of this matrix? A. B. C. D. E. The matrix is noninvertible.
kvasek [131]

Answer:

A.

-19 9 7

[15 -7 6 ]

-2  1  1

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • Solve the following equation on the interval [0, 2π). tan^2x sin x = tan^2x
    7·1 answer
  • 478 divided 16 using partial quotients
    13·2 answers
  • I need help with 21 please
    9·1 answer
  • Select the correct answer.
    6·1 answer
  • Suppose a charity received a donation of $19.2 million. If this represents 36% of the charity's donated funds, what is the total
    10·1 answer
  • WILL MARK BRAINLIEST! THANK YOUUUU
    10·2 answers
  • Which statement describes the greatest absolute change?
    10·1 answer
  • QUICK ANSWER!!! THIS IS FOR 50 POINTS!!!!
    9·1 answer
  • Is this a proportional or nonproportional linear relationship?
    15·2 answers
  • Im bad at word problems, so I need help please
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!