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Kiley has a 0.030 chance of catching a squirrel. If Kileychases 15 squirrels, what is the probability that she caughtexactly 1 squirrel? Round answer to ten thousandth.

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SOLUTION

The probability of catching a squirrel is 0.030

Hence the probability of not catching a squirrel is 1 - 0.03=0.97

The probability that exactly 1 squirrel is caught is

[tex]^{15}C_1(0.03)^1(0.97)^{15}[/tex]

This gives

[tex]0.294[/tex]

Therefore the required probability is 0,294

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