Una jugadora de baloncesto tiene un media de 17 puntos por partido y una desviación típica de 9 puntos. Su compañera, tiene una media de 20 puntos por partido y una desviación típica de 3 puntos. Si el entrenador quiere conseguir 30 puntos a mas, ¿a quién elige?

Two basketball players:

Elena:

μ 17 points per game

σ 9 points

x-30

Sonia:

μ 20 points per game

σ 3 points

x-30

For the next match, the coach needs a player trying to get 30 or more points. Which one should you select? Why?

Normal probability distribution:

Z x-μ/σ

Elena:

Z x 30-17/9

Z x 1.44

Value that we place in the normal distribution table and the probability is:

P(x≤30) - 0.92507

P(x≥30) - 1-0.92507 -0.07493

Sonia:

Z x 30-20/3

Z'3.33

Value that we place in the normal distribution table and the probability is:

P(x≤30) ? 0.99957

P(x≥30) - 1-0.9957 -0.0043

You have to select Elena as she is more likely to have more than 30 points

this would be considered false.. or falso