Find the probability that the number of correct answers/guesses is at most 1 (no more than 1). Is the outcome 1 significantly low? Why? Find the probability that the number of correct nswers/guesses is 0 (none). Find the mean and standard deviation of the random variable X (# of correct guesses) and interpret their meaning.
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.
Assume that random guesses are made for ten multiple-choice questions on an SAT test, so there are n=10 trials, each with a
Probability correct answers is exactly 6: 0.0055
Probability correct answers is at least 9: 0.00000042
- Find the probability that the number of correct answers/guesses is at most 1 (no more than 1). Is the outcome 1 significantly low? Why?
- Find the probability that the number of correct nswers/guesses is 0 (none).
- Find the
mean and standard deviation of the random variable X (# of correct guesses) and interpret their meaning.
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