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.

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