Answer:
The number of people who like winter season is 1000.
Step-by-step explanation:
Event event correspond to a set in the Venn diagram, and we use it to find the percentages.
I am going to say that:
Event A: Like summer season
Event B: Like winter season.
55% like summer season
This means that
20% like winter season
This means that
40% don't like both seasons
This means that 100% - 40% = 60% like at least one, which means that
Proportion who like both:
This is . The measures are related by the following equation:
Using what we have
750 like both seasons.
This is 15% of the sample. So the total number of people is t, for which:
20% like winter season
Out of 5000. So
0.2*5000 = 1000
The number of people who like winter season is 1000.