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
Find the value of x that will make A||B
Arturiano [62]

Answer:

x=20

Step-by-step explanation:

Both Angles have the same value, as they are opposite angels.

Set your formula up as

5x+20=3x+60

5x=3x+60-20

2x=40

x=40/2

x=20

3 0
3 years ago
1000(100+200-88)+22-4
krek1111 [17]

Answer:

212018

Step-by-step explanation:

that + that + that - that times that equals 212018

hope you understood


6 0
3 years ago
Read 2 more answers
Plz help ................................
Elodia [21]

Answer:

1/4 is correct, or .25 in decimal form

Step-by-step explanation:

7 0
3 years ago
Please help!!! 40 pts The principal represents an amount of money deposited in a savings account subject to compound interest at
Eva8 [605]
Ok I’m done what can I send it on
5 0
3 years ago
An arithmetic sequence has a1 = 22 and a8 = 43. Find a15.
brilliants [131]

The 15th term of the arithmetic sequence a_{15} = 64

Option B is correct

The nth term of an arithmetic sequence is given as:

a_{n} = a + (n - 1)d

The first value, a = 22

a_8 = a+(8 - 1)d\\a_8 = a + 7d

Since a_8 = 43

43 = 22 + 7d\\7d = 43 - 22\\7d = 21\\d = \frac{21}{7}\\d = 3

The common difference, d = 3

a_{15}= a + (15-1)d\\a_{15} = a + 14d\\a_{15} = 22 + 14(3)\\a_{15} = 22 + 42\\a_{15} = 64

The 15th term of the arithmetic sequence = 64

Learn more here: brainly.com/question/24072079

4 0
2 years ago
Other questions:
  • To the nearest hundredth, how many cm are in 16 in? (1 in = 2.54 cm)
    6·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%28%20x%20%2B%2020%29%7B2%7D%20" id="TexFormula1" title=" ( x + 20){2} " alt=" ( x + 20){2}
    11·1 answer
  • NEED HELP PLEASE ASAP THIS A FUNCTION HELP!!!
    6·1 answer
  • Please help within 30ish minutes I’m be g g in g you
    5·1 answer
  • AB has coordinates A(-15,5) and B(0-10). Find the coordinates of A' B'
    11·1 answer
  • Solve the system of linear equations by addition<br> x+y=-9<br> x+y=5
    15·1 answer
  • Simplify 1/9 - 1/x over 1/81 - 1/x^2
    14·1 answer
  • Can someone plz help me plz someone no links plz
    11·1 answer
  • The equation 750(1.03)4t=1,000 can be used to find the amount of time, t, in years, it takes for a savings account compounded qu
    13·1 answer
  • A point in quadrant iii is reflected across the y-axis. what is true about the new location? check all that apply.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!