Suppose that 45% of voters favor democracy. Of all voters that favor democracy, 42% are male....

Suppose that 45% of voters favor democracy. Of all voters that favor democracy, 42% are male. What is the probability that a randomly selected voter is a male and favors democracy? Please show all work.

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Expert Solution

To understand this first let us know all the points that are given to us,

45% of voters favour democracy.
Of all voters that favour democracy, 42% are male

We need to find the probability that a randomly selected voter is a male and favours democracy

Let us consider there are a total of 1000 people and we know that 45% favours democracy.

Therefore number of people that favours democracy is=

Therefore 450 people favours democracy.

Now it is said that of all voters that favour democracy, 42% are male.

Therefore number of people that favours democracy and are male=

Therefore number of people that favours democracy and are male=189

Total number of people that we had=1000

Therefore probability that a randomly selected voter is a male and favours democracy is=

Therefore probability that a randomly selected voter is a male and favours democracy is=0.189

orchestra answered 11 months ago

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