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The probability that a resident of Westlake subscribes to People magazine is .13. The probability that a Westlake resident is female is .57. The probability that a resident of Westlake is not a female and does not subscribe to people magazine is .32. The probability that a Westlake resident selected at random is not a female and subscribes to People magazine is

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MrRoyal

Answer:

[tex]P(Not\ F\ and\ S) = 0.06[/tex]

Step-by-step explanation:

Given

Represent Subscribe with S and Female with F

[tex]P(S) = 0.13[/tex]

[tex]P(F) = 0.57[/tex]

[tex]P(Not\ F\ and\ Not\ S) = 0.32[/tex]

Required

Determine [tex]P(Not\ F\ and\ S)[/tex]

The required probability is calculated using:

[tex]P(Not\ F\ and\ S) = P(Not\ F) * P(S)[/tex]

[tex]P(Not\ F)[/tex] is calculated using:

[tex]P(Not\ F) = 1 - P(F)[/tex]

[tex]P(Not\ F) = 1 - 0.57[/tex]

[tex]P(Not\ F) = 0.43[/tex]

So:

[tex]P(Not\ F\ and\ S) = P(Not\ F) * P(S)[/tex]

[tex]P(Not\ F\ and\ S) = 0.43 * 0.13[/tex]

[tex]P(Not\ F\ and\ S) = 0.0559[/tex]

[tex]P(Not\ F\ and\ S) = 0.06[/tex] (approximated)

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