Question

The total duration of baseball games in the major league in the 2011 season is uniformly distributed between 447 hours and 521 hours inclusive. What is the probability that the duration of games for a team for the 2011 season is between 480 and 500 hours?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The probability that the duration of games for a team is between 480 and 500 hours is 0.3456.

How to calculate probability?

The probability that the duration of games for a team for the 2011 season is between 480 and 500 hours will be calculated thus:

P(480 < x < 500) = P(x < 500) - P(x < 480)

= [Z < (500 - 484)/21.36] - P[(Z < (480 - 484) / 21.36]

= P(Z < 0.7491) - P(Z < -0.1873)

= 0.7731 - 0.4275

= 0.3456

In conclusion, the probability is 0.3456.

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