How many of these student would you expect to have gambled on sports the previous year?

User Generated

TNOOV_11

Mathematics

Description

A study of gambling activity at the University of West Georgia (UWG) discovered that 60% of the male students wagered on sports the previous year (the Sports Journal, Fall 2006). Consider a random sample of 50 UWG male students. 

(1) How many of these student would you expect to have gambled on sports the previous year? 

(2) Give a range that is likely to include the number of male students who have gambled on sports.

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Explanation & Answer

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Hi, below is the solutions. Answers are highlighted in bold -

1. Students who gambled previous year (out of 50) = 50*0.6 = 30

2. Random variable X varies from 0 to 50.

Consider, 3 standard deviations (99.7% of the data falls within 3 standard deviations) -

Maximum = 30 + (3*3.46) = 40.38  

Minimum = 30-(3*3.46) = 19.62

So, Range that is likely to include the number of male students who have gambled on sports = Maximum - Minimum = 40.38 - 19.62 = 20.76

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