Question

A study by Sabo & Veliz (2008) surveyed 2,132 American children about their participation in organized...

A study by Sabo & Veliz (2008) surveyed 2,132 American children about their participation in organized team sports. Their survey results are in the table below. If you randomly select an individual from this sample, calculate the probability of being a girl and participating on a sports team.  (Leave your answer as a number between 0 and 1. Round to 3 decimal places.)

organized sports no organized sports
boys 789 292
girls 662 389
Math   Statistics-And-Probability   
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Answer #1

Solution

Back-up Theory

Probability of an event E, denoted by P(E) = n/N …………………….........................................……(1)

where n = n(E) = Number of outcomes/cases/possibilities favourable to the event E and N = n(S) = Total number all possible outcomes/cases/possibilities.

Now to work out the solution,

Let E be the event that the randomly selected individual from this sample is a girl and participating

on a sports team.

Then, n = 662 and N = total number of individuals surveyed = 2132.

So, required probability = 662/2132 = 0.311 ANSWER

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