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LeBron James is a very popular professional basketball player in the US. Each game, players can commit a maximum of 666 personal fouls. Let's define the random variable FFF as the number of personal fouls LeBron James committed in a randomly chosen game from the 2016-2017 season. Here's the partially completed probability distribution of FFF. FF
F 000 111 222 333 444 555 666 P(F)P(F)P, left parenthesis, F, right parenthesis 0.150.150, point, 15 0.270.270, point, 27 0.350.350, point, 35 0.150.150, point, 15 0.040.040, point, 04 0.010.010, point, 01 \text{?}?start text, question mark, end text Find the missing probability in the table. P\left(F=6\right)=P(F=6)=P, left parenthesis, F, equals, 6, right parenthesis, equals

Respuesta :

Answer:

0.03

Step-by-step explanation:

fichoh

Using the principle of discrete probability, the total sum of the probabilities must sum up to 1. Therefore, the value of the missing probability value is 0.03.

The discrete probability table :

  • F ___ 0 ___ 1 ___ 2 ___ 3 ___ 4 ___ 5 ___ 6
  • P(F) _ 0.15 _0.27_0.35_0.15__0.04 _0.01 __?

THE total sum of the probabilities must be equal to 1 ; hence, P(F = 6) can be calculated thus :

  • 0.15+0.27+0.35+0.15+0.04+0.01+P(F=6) = 1

  • P(F = 6) = 1 - 0.97 = 0.03

Hence, P(F = 6) is 0.03

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