SOLUTION: Tommy Wait, a minor league baseball pitcher, is notorious for taking an excessive amount of time between pitches. His times between pitches are normally distributed with a mean of
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Question 924543: Tommy Wait, a minor league baseball pitcher, is notorious for taking an excessive amount of time between pitches. His times between pitches are normally distributed with a mean of 36 seconds and a standard deviation of 3.0 seconds. What percentage of his times between pitches is longer than 40.20 seconds? Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website! mean = 36 seconds and a standard deviation of 3.0,
P( x > 40.20)
Using the z-value to determine the Probability:
P( x > 40.20) = P(z > 4.20/3) = P(z > 1.4)
Using a TI calculator 0r similarly a Casio fx-115 ES plus
P(z > 1.4) = (1.4, 100) = .0808 0r 8.08%
....
For the normal distribution: Below: z = 0, z = ± 1, z= ±2 , z= ±3 are plotted. Area under the standard normal curve to the right of the particular z is P(z > than its calculated value))
Note: z = 0 (x value: the mean) 50% of the area under the curve is to the left and 50% to the right
