Answer:
Step-by-step explanation:
Given that the Martian Colonies elect their government through a lottery. There are 100,000 people living on Mars
every year, a council of 99 co-equal leaders is randomly selected from the population.
Since these are members, order of selection of not important
So combinations woul dbe used here.
Total number of persons avaiiable = 100,000
No of persons to be selected = 999
No of ways this can be done =
999 out of 100,000
=
Answer:
See Explanation
Step-by-step explanation:
<em>The question is incomplete as the image that illustrates the scenario is not given.</em>
<em>However, I can deduce that the question is about a right-angled triangle.</em>
<em>So, I will give a general explanation on how to find each of the side of the triangle, given a side and an angle.</em>
<em />
<u>For triangle A (solve for b)</u>
Using cosine formula.
Make b the subject
<u>For triangle B (solve for b)</u>
Using cosine formula.
Make b the subject
<u>For triangle C (solve for b)</u>
Using cosine formula.
Make b the subject
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:
∑X²fi= (0²*8)+(1²*10)+(2²*22)+(3²*9)+(4²*1)= 195
∑Xfi= (0*8)+(1*10)+(2*22)+(3*9)+(4*1)= 85
I hope this helps!
