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Find the mean & St. Dev for each . Find the mean & standard deviation. Binomial Distribution formula. Section 6.3A. Binomial Experiment - BINS. Binary? There are two possible outcomes – success and failure Independent? Trials must be independent Number?
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Binomial Distribution formula Section 6.3A
Binomial Experiment - BINS • Binary? • There are two possible outcomes – success and failure • Independent? • Trials must be independent • Number? • The number of trials must be fixed – out of n…. • Success? • On each trial the probability of success must be the same
Let E be the event that a person goes out shopping on Black Friday. Find the probability distribution for a sample of 3 people if the P(E) = .78.
Probability distribution of going shopping on black Friday for 4 people. P(E) = .78
Let’s Develop the formula! • If I have 5 people, how many ways can I arrange them? • How many ways can I choose 2 of the 5 who went shopping on black Friday? • But every set of two is the same (SSNNN = SSNNN)…
Binomial Distribution where
The survival rate for a risky operation is 80%. What is the probability that exactly 4 of the next 5 patients survive?
USA today stated that 45% of Americans know somebody who became addicted to a drug other than alcohol. If we randomly ask 15 people, what’s the probability that exactly 3 were addicted?
90% of the trees planted by a landscaper will survive. If 10 trees are planted, what’s the probability more than eight survive?
The probability that a person will subscribe to Statistics Monthly is 48%. Find the probability that out of a group of seven, at least one person subscribes.
There are charts as well – but only for some probabilities so you need to know the formula.
Homework • Worksheet