# Question: In the game of baseball every time a player bats

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). 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 0.375 on-base batter. Specifically, assume that each time he bats; he is successful with probability 0.375 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 0.360?

b. What is the probability that his on-base percentage will be greater than 0.370?

c. What is the probability that his on-base percentage will be less than or equal to 0.400?

a. What is the probability that his on-base percentage will be less than 0.360?

b. What is the probability that his on-base percentage will be greater than 0.370?

c. What is the probability that his on-base percentage will be less than or equal to 0.400?

## Answer to relevant Questions

In the financial world, there are many types of complex instruments called derivatives that derive their value from the value of an underlying asset. Consider the following simple derivative. A stock’s current price is $80 ...A soft-drink factory fills bottles of soda by setting a timer on a filling machine. It has generally been observed that the distribution of the number of ounces the machine puts into a bottle is normal, with standard ...An elevator rail is assumed to meet specifications if its diameter is between 0.98 and 1.01 inches. Each year a company produces 100,000 elevator rails. For a cost of $10/σ2 per year the company can rent a machine that ...For the example in Simple Decision Problem.xlsx, we found that decision D3 is the EMV-maximizing decision for the given probabilities. See whether you can find probabilities that make decision D1 the best. If the ...The tornado chart in Figure 6.24 and the spider chart in Figure 6.25 show basically the same information in slightly different forms. Explain in words exactly what information they provide.Post your question