An airline offers discounted flights from Atlanta to five American cities. Below is a frequency distribution of the number of tickets purchased for each location based on a random sample of purchased tickets. Complete parts (a) through (f). Response Frequency
Las Vegas 1181
Oriando 849
New York 1091
Chicago 528
San Diego 671
1. Construct a relative frequency distribution of the data (Round to three decimal places as needed.)
2. What proportion of the tickets were for New York?

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!

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step-by-step explanation: