STAT 1000Q Lecture Notes - Lecture 8: Binomial Distribution, Fair Coin

• School: UConn
• Department: Statistics
• Course: STAT 1000Q
• Professor: Robert Apruzese

Document Summary

Have 2 outcomes: defined by either success or failures. If a coin is tossed, heads represent a success, tails represent a fail. X represents all values from 0 to n. For (cid:862)x:b(cid:894)(cid:374),p(cid:895)(cid:863), x has a (cid:271)i(cid:374)o(cid:373)ial distri(cid:271)utio(cid:374) (cid:449)ith (cid:374) repetitio(cid:374)s, (cid:449)ith the probability success of p on each representation. Let x= number of heads out of 10 tosses of a fair coin. N=10, p=. 5, x is the binomial of 10 and . 5 or b(10,. 5) The probability of repetition has to be uniform. If no replacement, the probabilities change for each choice. X: b(10,5), find p(4), the probability of 4 heads out of the 10 tosses. On calculator: 2nd, vars, scroll on distribution, select binompdf, plug in number of repetitions, success probability, number of successes (n, p, x) Use binompdf: p(x) for a single probability, no ranges of data. Probability of exactly 4 successes out of 12 repetitions, when the probability of success is . 3.