Question

Major League Baseball Hall of Famer Jackie Robinson has a career batting average of 0.311, which means he had a base hit 31.1% of the times at bat. Suppose he had a 3-game matchup in which he can be expected to have 12 times at bat.

Use this information and binomial probability to find the following probabilities.  Express all answers in decimal form, and include all the digits your calculator gives you as a result.

a. P(Jackie gets a base hit exactly 4 times out of the 12 times at bat):   

Type out the setup your your calculation:  

b. P(Jackie gets a base hit exactly 7 times out of the 12 times at bat):   

Type out the setup your your calculation:  

c. Find the probability he gets a base hit 2 or fewer times out of the 12 times at bat:    

Type out the setup of your calculations:

d. Using your answer from part c, what is the probability he gets a base hit more than 2 times at bat out of the 12 times at bat: (hint: complement...)       

e. If you were on the opposing team, and Jackie Robinson came up to bat, would you expect Jackie to get a base hit? Why or why not? Refer to your results to support your answer

Answer 1

Yes, I would expect him to get a base hit since the probability of him getting a base hit at least 1 time out of the 12 times at bat is more than 98%. Also, the expected number of times he would get a base hit is = = 12 * 0.311 = 3.732, which is significantly greater than 0.