At a university in western Pennsylvania, there were 5 burglaries reported in 2003, 16 in 2004, and 32 in 2005. If a researcher wishes to select at random two burglaries to further investigate, find the probability that both will have occurred in 2004.

Respuesta :

Answer: 121/1024

Step-by-step explanation:

If 5 burglaries were reported in 2003,

16 in 2004, this means that were addition of more (16 - 5) = 11

and 32 in 2005

Total outcome will be 32 windows

 The probability that both will have occurred in 2004 will be

11/ 32 × 11/32 = 121/1024

The probability that both will have occurred in 2004 is 121/1024

Calculations and Parameters:

Given that:

In 2003, 5 burglaries were reported

16 in 2004

Hence, the total outcome is 32

The probability that both will have occurred in 2004 will be

[tex]11/ 32 * 11/32 \\= 121/1024[/tex]

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