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).

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.

sine

step-by-step explanation: