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A survey of teens suggested that 33% can name at least one professional baseball player, and 90% of those teens can also name at least one professional football player. In the entire population, 64% can name at least one professional football player. What percentage of teens can name at least one player from these sports? (0.33)(0.64) = 0.2112 0.33 + 0.64 = 0.97 0.33 + 0.64 – (0.33)(0.64) = 0.7588 0.33 + 0.64 – (0.90)(0.33) = 0.673

Respuesta :

MrRoyal

Answer:

[tex]d.\ 0.33 + 0.64 – (0.90)(0.33) = 0.673[/tex]

Step-by-step explanation:

Given

[tex]P(Baseball) = 33\%[/tex]

[tex]P(Baseball\ n\ Football) = 90\%[/tex]

[tex]P(Football) = 64\%[/tex]

Required

[tex]P(Baseball\ or\ Football)[/tex]

This is calculated as:

[tex]P(Baseball\ or\ Football) =P(Baseball) + P(Football) -P(Baseball\ n\ Football)[/tex]

[tex]P(Baseball\ or\ Football) = 0.33 + 0.64 - (0.90)(0.33)[/tex]

[tex]P(Baseball\ or\ Football) = 0.33 + 0.64 - 0.297[/tex]

[tex]P(Baseball\ or\ Football) = 0.673[/tex]