suppose 48 out of every 120 people like baseball. of the people who like baseball, 3 out of 5 play baseball. If you ask 500 people, how many would you expect to play baseball?
500(48/120)(3/5) = 120
I don't know this
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To determine how many people would be expected to play baseball, we need to calculate the proportion of people who like baseball and multiply it by the proportion of baseball players among those who like baseball.
First, let's calculate the proportion of people who like baseball:
48 out of 120 people like baseball, so the proportion is 48/120.
Now, let's calculate the proportion of baseball players among those who like baseball:
3 out of 5 people who like baseball play baseball, which can be expressed as 3/5.
To calculate the expected number of baseball players, we multiply these two proportions:
Expected number of baseball players = (48/120) * (3/5)
Simplifying, we have:
Expected number of baseball players = (4/10) * (3/5)
Multiplying the numerators and the denominators, we get:
Expected number of baseball players = (4 * 3) / (10 * 5)
Expected number of baseball players = 12 / 50
Therefore, the expected number of people who would play baseball out of 500 people is:
(Expected number of baseball players) * 500 = (12 / 50) * 500
Simplifying, we have:
(Expected number of baseball players) * 500 = 240
Therefore, you would expect approximately 240 people to play baseball out of the 500 people surveyed.