a baseball league finds the speeds of pitches are normally distributed, with a mean of 89 mph and a standard deviation of 2.4 mp
h. One pitch is thrown at a speed of 85.2 mph. What is the z-score of this pitch? Round your answer to two decimal places.
1 answer:
Answer:
-1.58
Step-by-step explanation:
We have that the mean (m) is equal to 89 and the standard deviation (sd) 2.4
They ask us for P (x <85.2)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd)
We have all these values, replacing we have:
z = (85.2 - 89) / (2.4)
z = -1.58
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