SOLUTION: A very reliable baseball player is known to get a hit when at bat 41% of the time. He is expected to have 101 more times at bat before the end of the season, and he is 49 hits a

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Question 1129733: A very reliable baseball player is known to get a hit when at bat 41% of the time.
He is expected to have 101 more times at bat before the end of the season, and he is 49 hits away from breaking a league hitting record.
What is the probability of him breaking that record before the end of the season?

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
mean is 41.41 (np)
variance is np(1-p)=41.41(.59)=24.43
sd is sqrt(V)=4.94
want probability >49 hits or >48.5 using continuity correction
z>(48.5-41.41)/4.94
z>(7.09)/4.94 or >+1.43
The probability is 0.0764

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