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
Vera_Pavlovna [14]
3 years ago
12

The information below is the number of daily emergency service calls made by the volunteer ambulance service of Walterboro, Sout

h Carolina, for the last 50 days. To explain, there were 22 days on which there were two emergency calls, and 9 days on which there were three emergency calls.
Number of Calls Frequency


0 8


1 10


2 22


3 9


4 1


Total 50



a. Convert this information on the number of calls to a probability distribution. (Round your answers to 2 decimal places.)



Number of calls Probability



0



1



2



3



4



b. Is this an example of a discrete or continuous probability distribution?

Mathematics
1 answer:
mafiozo [28]3 years ago
3 0

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: The number of emergency service calls made by the volunteer ambulance service of Walterboro, South Carolina for 50 days.

a)

In the first column, you have the possible number of emergency calls made, in the second column, you have the observed absolute frequency (fi) for each value of the variable.

To establish the probability distribution you have to calculate the relative frequency (hi) for each value of X.

The formula for the relative frequency is

hi= fi*n where i= 0, 1, 2, 3, 4

X₁= 0

f₁= 8

h₁= 8/50= 0.16

X₂= 1

f₂= 10

h₂= 0.20

X₃= 2

f₃= 22

h₃= 22/50= 0.44

X₄= 3

f₄= 9

h₄= 9/50= 0.18

X₅= 4

f₅= 1

h₅= 1/50= 0.02

(See attachment)

b)

The variable of interest is a cuantitative discrete variable, so this is an example of a driscrete distribution.

Discrete variables are numerical and take certain numbers within its range of definition, contrary to the continuous variables that can take any value within the range of definition of the variable.

Another example of a discrete variable is "the money", If the variable is "I have at most 10 dollars in my wallet", the range of definition goes from 0 dollars to 10 dollars.

c) To calculate the mean when the data is arranged in a frequency table you have to use the following formula:

X[bar]= ∑Xihi= (0*0.16)+(1*0.2)+(2*0.44)+(3*0.18)+(4*0.02)= 1.7

This means that they expect an average of 1.7 calls per day.

d) The formula for the standard deviation is:

S=\sqrt{\frac{1}{n-1}[sumX^2fi-\frac{(sumXfi)^2}{n} ] }

∑X²fi= (0²*8)+(1²*10)+(2²*22)+(3²*9)+(4²*1)=  195

∑Xfi= (0*8)+(1*10)+(2*22)+(3*9)+(4*1)= 85

S=\sqrt{\frac{1}{49}[195-\frac{(85)^2}{50} ] }= 1.015

I hope this helps!

You might be interested in
Help me please. 4x=3y-7:y=4,5,6
bezimeni [28]
If you're looking for the answers it would be x= 5/4, 2, 11/4
8 0
3 years ago
Tim had three toys and Sheila have four toys how many did they have together ?
Ainat [17]

Answer:

7 toys

Step-by-step explanation:

3+4=7

5 0
3 years ago
Alex has a small notebook that is shaped like a rectangle. She knows one side is 6 cm and another side is 4 cm. Explain how to f
brilliants [131]
6+6+4+4
Add all of the side lengths together.
5 0
3 years ago
Read 2 more answers
Determine the intercepts of the line
abruzzese [7]
−
4
x
+
7
=
2
Step 1: Subtract 7 from both sides.
−
4
x
+
7
−
7
=
2
−
7
−
4
x
=
−
5
Step 2: Divide both sides by -4.
−
4
x
−
4
=
−
5
−
4
x
=
5
4
6 0
3 years ago
Sora was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 108, 113, 105, 118, 124,
gladu [14]

The outlier (61) is at the low end of the data set, but doesn't affect the mean by a lot, so ...

The mean is centered among the other numbers in both sets of data.

_____

The mean without the outlier is 114. With the outlier, it is 107.4. The lower quartile is 108, so the mean does get moved outside the "box" of the box-and-whisker plot of the data set without the outlier.

8 0
3 years ago
Read 2 more answers
Other questions:
  • the equation of a circle is x - y + 1 = 0 . if one end of the diameter is ( 3, p) and other end is ( a, 2 ) , find the equation
    8·1 answer
  • A 6 inch personal pizza has 580 calories, with 240 of those
    11·1 answer
  • Factor completely: x2 - 10x + 25
    14·2 answers
  • The water height of a pool is determined by 8g2 + 3g - 4, the rate that the pool is filled, and 9g2 - 2g - 5, the rate that wate
    14·2 answers
  • 432 divided by the difference between 279 and 63
    14·2 answers
  • Can someone pls give me the answer to this I really need it ASAP
    10·1 answer
  • Answer!?______________
    13·2 answers
  • Find the area of the polygon.
    13·1 answer
  • Solve: <br> -5x = 30?<br> Can someone help me
    11·2 answers
  • Please simplify the answer
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!