Based on past results the probabilities that a World Series

Based on past results the probabilities that a World Series will last x Games is given in the table. (a) What is the probability that a world series will last 6 or more games? (b) What is there probability a series will last no more than 6 games?

(Please show work) thanks!

Solution

a)

P ( x >= 6) = P(x=6) + P(x=7)

P ( x >= 6) = 0.2323 + 0.3737 = 0.606

b)

P( x < 6 ) = 1 - P(x >= 6 ) = 1 - 0.606 = 0.394