Section 5-3. Binomial Probability Distributions. What does the prefix “Bi” mean?. We will now consider situations where there are exactly two outcomes: Yes/no to a survey question Product is defective/not defective Correct/Wrong response to a multiple choice question
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Binomial Probability Distributions
We will now consider situations where there are exactly two outcomes:
P(S) = p
P(F) = 1 – p = q
n = # of trials
x = # of successes
*success is just what is being measured
Determine whether the given procedure results in a binomial distribution.
A report from the Secretary of Health and Human Services stated that 70% of single-vehicle traffic fatalities that occur at night on weekends involve an intoxicated driver. If a sample of 10 single-vehicle traffic fatalities that occur at night on a weekend is selected, find the probability that exactly seven involve a driver that is intoxicated.
This is a binomial experiment where:
n = 10 x = 7 p = 0.70 q = 0.30
P(7) = 0.266828
P(at least 8) = P(8) or P(9) or P(10)
= 0.233474 + 0.121061 + 0.028248
In a clinical test of the drug Viagra, it was found that 4% of those in a placebo group experienced headaches.