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
Stella [2.4K]
3 years ago
9

Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and th

e time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 8.9 minutes and a standard deviation of 2.0 minutes. For a randomly received emergency call, find the following probabilities. (Round your answers to four decimal places.)
a) between 5 and 10 min
b) less than 5 min
c) more than 10 min
Mathematics
1 answer:
alexira [117]3 years ago
6 0

Answer :

a) Pr(5<x<10) = 0.6832

b) Pr(x<5) = 0.0256

c) Pr(x>10) = 0.2912

Step-by-step explanation:

Police response time to an emergency call is the difference between the time the call is first received and the time a patrol car radios it has arrived at the scene

Mean(u)= 8.9mins

Standard deviation (α) = 2.0mins

Let X be the random variable which is a measure of the time to get a response from the police.

We first solve for b and c

b) The response time less than 5 mins= Pr(X<5)

For normal distribution

Z= (X - u) / α

For X= 5

Z= (5 -8.9) / 2

Z= -3.9/2

Z= -1.95

From the normal distribution table, Z= -1.95 is 0.4744

Φ(z) = 0.4744

When Z is negative

Pr(X<a) = 0.5 - Φ(z)

Pr(X<5) = 0.5 - 0.4744

= 0.0256

c) The response time more than 10mins= Pr(X>10)

For normal distribution

Z= (X - u) / α

For X= 10

Z= (10 - 8.9) / 2

Z= 1.1/2

Z= 0.55

From the normal distribution table, Z= 0.55 is 0.2088

Φ(z) = 0.2088

When Z is positive

Pr(X>a) = 0.5 - Φ(z)

Pr(X>5) = 0.5 - 0.2088

= 0.2912

c) The response time between 5 and 10mins= Pr(5<X<10)

Pr(5<X<10) = 1 - Pr(X>10) - Pr(X<5)

= 1 - 0.2912 - 0.0256

= 1 - 0.3168

= 0.6832

You might be interested in
Wat is the sign of the product of three integers with the same positive sign
Otrada [13]
The sign of the product would be the postitive sign because all three integers have the same sign.
4 0
3 years ago
Read 2 more answers
The following represents age distribution of students in an elementary class. Find the mode of the values: 7, 9, 10, 13,
Vitek1552 [10]
The mode of the values listed is 9.
3 0
2 years ago
Find the value of x that will make a||b help ?
nydimaria [60]

Answer:

x=30

Step-by-step explanation:

Find the value of x that will make A and B parallel

For A & B to be parallel, the interior angles must be supplementary, i.e.

4x+2x = 180

6x=180

x=30

When x=30, the interior angles are 120 and 60 which are supplementary.

4 0
3 years ago
The typical full-time employee in a particular hotel works a 40-hour week. Last month, the hotel's 80 employees worked a total o
Mila [183]

Answer: There are 25 FTEs.

Step-by-step explanation:

Since we have given that

Number of hour week for full time employee = 40 hours

In a month we know that

Number of weeks = 4

Total number of hours in a month would be

40\times 4\\\\=160\ hours

If in last month, the hotel's 80 employees worked a total of 4000 hours,

So, Full time equivalent workers were employed by the hotel last month would be

\dfrac{4000}{160}\\\\=25

Hence, there are 25 FTEs.

7 0
3 years ago
What is the y-intercept of the line that is
DaniilM [7]

Answer:

The y-intercept of the line would be (C) 8

Step-by-step explanation:

The slope of the line with the equation y = -3x - 5 is -3. When figuring out a slope perpendicular to another line you would use the negative reciprocal of the slope which would lead to the slope of the line to be 1/3.

We know it passes through the point (-3,7), substituting x and y, we would then get our new equation, (7) = \frac{1}{3}( -3) + b.

Solve the equation by multiplying -3 with 1/3 and the product would be -1. Add negative one on both sides and you would get 8 = b.

3 0
2 years ago
Other questions:
  • 15 points if answer this question
    14·1 answer
  • PLEASE HELP ASAP!!!! Thanks!!
    8·1 answer
  • What can you say about the end behavior of the function f(x)=log2(4x+8)+16
    5·2 answers
  • Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s
    8·2 answers
  • I need these answered today please! Make sure to show the work as well.
    5·2 answers
  • At a restaurant last night, 8 people ordered salads, 10 ordered steaks, 18 ordered chicken, and 14 ordered pasta.
    15·1 answer
  • What is the area of the triangle? 4 6 units2​
    7·1 answer
  • The graph represents two complex numbers, z1 and z2, as solid line vectors. Which points represent their complex conjugates?
    8·1 answer
  • Find the roots of f(x)=x2+9x-36.<br><br> x = _____ or x = _____
    5·1 answer
  • A mother is 25 years older than her son. <br>Write down the son's age and the mother's age<br>​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!