a. What is the chance of having exactly one success (observing 4 or 5): b. Find the expected number of successes. c. What is the standard deviation of number of successes?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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The probability of getting success is,
Consider X be the random variable representing the number of success.
X follows binomial distribution with n=10 and p = 2/5
The probability of getting exactly one success is,
Thus, the required probability is 0.0403
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