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a recent study showed that the average high school basketball team score 76 points a game with a standard deviation of 8.4 points. Find the probability that a random team scores less than 64 points

Respuesta :

JeanaShupp

Answer:  0.0766

Step-by-step explanation:

Let x be the random team scores.

Given: Mean = 76

Standard deviation = 8.4

We assume that x follows normal distribution.

The probability that a random team scores less than 64 points = P(x<60)

[tex]=P(\frac{x-\mu}{\sigma}<\frac{64-76}{8.4})\\\\=P(z<-1.4286) \ \ \ [Z=\frac{x-\mu}{\sigma}]\\\\= 1-P(z<1.4286)\\\\=1-0.9234\\\\=0.0766[/tex]

Hence, the probability that a random team scores less than 64 points =0.0766

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