Answer:
The value is [tex]P(F) =0.0095[/tex]
Step-by-step explanation:
From the question we are told that
The probability that a player is being identified as an NBA all-stars is 95% = 0.95
The number of player in the camp is n = 100
Generally the probability that a player becomes the first person to be evaluated is mathematically represented as
[tex]p(1) = \frac{1}{n}[/tex]
=> [tex]p(1) = \frac{1}{100}[/tex]
=> [tex]p(1) = 0.01[/tex]
Generally the probability that the first basketball player his screening tool identifies as a future NBA all-star is truly a future NBA all-star
[tex]P(F) = P(1) * 0.95[/tex]
=> [tex]P(F) =0.01 * 0.95[/tex]
=> [tex]P(F) =0.0095[/tex]
