Poisson or Binomial

#1
Hi, im trying to make sure i have the difference between when to use Binomial and Poisson distributions firmly understood. Regarding the following question, im assuming its a Binomial since its possible to determine p and q even though a rate is specified?

Question) If a baseball batter hit 4 balls per 10 pitched, whats the probability of him hitting 6 balls per 20 pitches?

If i changed the question to the following, am i correct in assuming it would be Poisson?

Question2) If a baseball batter hit 4 balls per day, whats the probability of him hitting 6 in 2 days?

Thanks for your help!
 

geosun

New Member
#2
mean or average probability of something happening is poisson while
exact probability of something happening is binomial
 

Outlier

TS Contributor
#3
im assuming its a Binomial since its possible to determine p and q even though a rate is specified?

Question) If a baseball batter hit 4 balls per 10 pitched, whats the probability of him hitting 6 balls per 20 pitches?

Question2) If a baseball batter hit 4 balls per day, whats the probability of him hitting 6 in 2 days?
Based on

"the Poisson binomial distribution is the discrete probability distribution of a sum of independent Bernoulli trials.
In other words, it is the probability distribution of the number of successes in a sequence of n independent yes/no experiments with success probabilities .

The ordinary binomial distribution is a special case of the Poisson binomial distribution, when all success probabilities are the same. . ."

they both sound like Poisson to me because success probabilities vary with each pitch.
 

geosun

New Member
#5
both are poisson because they arn't exact probabilities, their the average batting on a random day or time period.