STAT 1000 Lecture Notes - Lecture 26: Binomial Distribution, Sample Space, Random Variable

• School: University of Manitoba
• Department: Statistics
• Course: STAT 1000
• Professor: Zenaida Mateo

Document Summary

The observations are fixed . there are 50. Whether or not one person has a boy does not influence what another person will have independence. The observations fall into two categories . boy or girl. The probability of having a boy or girl is 50% There is a fixed number of observations 10. There is a (cid:862)su(cid:272)(cid:272)ess or failure(cid:863) respo(cid:374)se heads or tails. The probability = 1/2 is the same every time. The (cid:374)u(cid:373)(cid:271)er of (cid:862)hearts(cid:863) we see i(cid:374) 25 flips of. There is a fixed number of observations 25. There is a (cid:862)su(cid:272)(cid:272)ess or failure(cid:863) respo(cid:374)se hearts or not. The trials are all independent of one another. The probability = 13/52 is the same every time. If a population contains a proportion of p success, the count x of success in the sample. We say our random variable x is approximately binomially distributed with parameters n (fixed sample size) and p (proportion or probability of successes. )