0.007 Distribution of Number of Hits in Baseball Games (The resalts are summarized in the tables below.) P(0) = Co(0.29)°(0.71)=-0 =-OLO (0.29)°C0.71)* = 0.1804 (5- 0): 0! The official website of...

1. Compare your distributions from Exercise 1 and Exercise 2. Is a binomial distribution a good model for determining the number of hits in a baseball game for a given number of at-bats? Explain your reasoning and include a discussion of the four conditions for a binomial experiment. The criteria for a binomial experiment are: 1. 2. 3. 4.


Extracted text: 0.007 Distribution of Number of Hits in Baseball Games (The resalts are summarized in the tables below.) P(0) = Co(0.29)°(0.71)=-0 =-OLO (0.29)°C0.71)* = 0.1804 (5- 0): 0! The official website of Major League Baseball, MLB.com records detailed statistics about players and games. Games with Three At-Bats Games with Four At-Bats (The results are summarized in the tables below.) During the 2012 regular season, Dustin Pedcoia of the Boston Red Sox had a batting average of 0.290. The graphs below show the number of hits he had in games in which he had different mumbers of at-bats. 040 Games with Three At-Bats Games with Four At-Bats 0.400 0.400 0.440 0.0 Games with Three s 0.200 0.000 0.40 0.240 0.227 0.093 0.000 0.30 12 12 0.00 0.358 0.439 10.415 Number of hits per game 0.179 0.024 0.254 0.254.069 Number of hits per game 10.007 000 1 2 Number of hits per game Gemes with Feur ts Number of hits per game 33 18 Games with Five At-Bats Games with Five At-Bats Games with five Aas 0.400 0.467 0.033 0.000 0.000 0 0.100 10.3680.301 Number of hits per game 0.10 0.180 0.123 0.025 0.002 0.00 2. Construct binomial probability 2 Number of hits per game Exercises distributions for p-0.290 and 1. Construct a probability distribution for 2 The number of hits in games with three at-bats. b. The number of hits in games with four at-bats. e. The number of hits in games with five at-bata. P(x) = „Crp*q*- = a n-3. 3! PO hits)-of timer had o kire totalef a bate P(0) = ;Co(0.29) (0.71)2-0 =-Ovg (0.29) (0.71) = 0.3579 Hint: 4. Rof times had 1 hits sete P(1 hit) =rotel of at bats 4! P(0) = Co(0.29)°(0.71)-0 = -OU (0.29)*(0.71)* = 0.2541 (4- 0)1 01