Answer:
Step-by-step explanation:
Hello!
The variable of interest is "the number of tickets purchased for one of five locations"
The data is given arranged in a frequency table, where the number of tickets per destination is expressed as the absolute simple frequencies (fi)
Destination ; fi
1) Las Vegas ; 1181
2) Orlando ; 849
3) New York ; 1091
4) Chicago ; 528
5) San Diego ; 671
1.
The relative frequency shows the proportion of each category of the variable, in this example: the destination of the sold tickets, regarding the total number of observations.
It is calculated as:
hi= fi/n
To know the total number of tickets sold that were selected for the sample you have to add each absolute frequency:
n= f1 + f2 + f3 + f4 + f5= 1181 + 849 + 1091 + 528 + 671= 4320
The relative frequencies for each category are:
h1= 1181/4320= 0.27
h2= 849/4320= 0.196= 0.20
h3= 1091/4320= 0.25
h4= 528/4320= 0.12
h5= 671/4320= 0.155= 0.16
since the relative frequencies are proportions, its sum must always be 1, otherwise you wouldn't be able to consider this a distribution of probability.
∑hi= h1 + h2 + h3 + h4 + h5= 0.27 + 0.20 + 0.25 + 0.12 + 0.16= 1
2.
The relative frequency corresponding for the tickets sold with destination New York is:
h3= 0.25
This means that 25% of the tickets sold in Atlanta had New York as destination.
I hope this helps!
1) Relative frequency distribution is attached below:
Total frequency = 1181 + 1101 + 958 + 692 + 321 = 4253
The required relative frequency distribution of the data is,
2) Proportion of tickets for New York = 0.225
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