# State the criteria for a binomial probability experiment.

Question
Binomial probability
State the criteria for a binomial probability experiment.

2020-11-02
• Binary: The possible outcomes of each trial can be classified as “success” or “failure.”
• Independent: Trials must be independent, that is, knowing the result of one trial must not have any effect on the result of any other trial.
• Number: The number of trials n of the chance process must be fixed in advance.
• Success: On each trial, the probability p of success must be the same

### Relevant Questions

1) State the formula for the Binomial Probability Distribution, also state the domain. 2) Tell what the requirement for the Binomial experiment are. 3) List both formulas for calculating the mean of a Binomial Probability Distribution. 4) List the formulas for the standard deviation of a Binomial Probability Distribution.
The probability that a patient recovers from a stomach disease is 0.8. Suppose 20 people are known to have contracted this disease. What is the probability that exactly 14 recover?

Convert the binomial probability to a normal distribution probability using continuity correction. $$P(x > 14)$$.

If x is a binomial random variable, find the probabilities below by using the binomial probability table.

a) $$P(x < 11)\ for\ n = 15, p = 0.1$$

b) $$P(x \geq 11)\ for\ n = 25, p = 0.4$$

c) $$P(x = 2)\ for\ n = 20, p = 0.6$$

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a) measures of center: mean and median. b) measures of spread: range, IQR, and standard deviation.

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$$\displaystyle{P}{\left({7}{<}{X}{<}{10}\right)}$$

What is the row of Pascal’s triangle containing the binomial coefficients (nk),$$0\leq k\leq9$$?