In the game of baseball, every time a player bats, he is either successful (gets on base) or he fails (doesn’t get on base). (This is all you need to know about baseball for this problem!) His on-base percentage, usually expressed as a decimal, is the percentage of times he is successful. Let’s consider a player who is theoretically a 0.3 7 5 on-base batter. Specifically, assume that each time he bats, he is successful with probability 0.3 7 5 and unsuccessful with probability 0.625. Also, assume that he bats 600 times in a season. What can you say about his on-base percentage, (# of successes)/600, for the season? a. What is the probability that his on-base percentage will be less than 0.3 60? b. What is the probability that his on-base percentage will be greater than 0.3 7 0? c. What is the probability that his on-base percentage will be less than or equal to 0.400?
Please use excel formulas when possible:
In the game of baseball, every time a player bats, he is
either successful (gets on base) or he fails (doesn’t get
on base). (This is all you need to know about baseball
for this problem!) His on-base percentage, usually
expressed as a decimal, is the percentage of times he is
successful. Let’s consider a player who is theoretically
a 0.3 7 5 on-base batter. Specifically, assume that each
time he bats, he is successful with
unsuccessful with probability 0.625. Also, assume that he bats 600 times in a season. What can you say about
his on-base percentage, (# of successes)/600, for the
season?
a. What is the probability that his on-base percentage
will be less than 0.3 60?
b. What is the probability that his on-base percentage
will be greater than 0.3 7 0?
c. What is the probability that his on-base percentage
will be less than or equal to 0.400?
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