Will1119
04.02.2020 •
Mathematics
Major league baseball game durations are normally distributed with a mean of 160 minutes and a standard deviation of 50 minutes. what is the probability of a game duration of between 180 and 210 minutes? specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).
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Ответ:
0.19
Step-by-step explanation:
μ = 160 and σ = 50. Find the z scores for 180 and 210.
z = (x - μ) / σ
z = (180 - 160) / 50 = 0.40
z = (210 - 160) / 50 = 1.00
So we want P(0.40<z<1.00). This can be found as:
P(0.40<z<1.00) = P(z<1.00) - P(z<0.40)
Now use a calculator or table to find each probability:
P(0.40<z<1.00) = 0.8413 - 0.6554
P(0.40<z<1.00) = 0.1859
Rounded to the nearest hundredth, P ≈ 0.19.
Ответ:
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Step-by-step explanation: