Consider a carnival game where a player is given two chances to throw a ball to hit a moving target. Suppose the probability of hitting the target per throw is 0.15. Let X be the number of times the target is hit per game. (a) Give the probability distribution of X and find the variance of X. (b) What is the probability that the player hits the target at least once? (c) Find the mean number of times a player hits the target per game.
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.
Consider a carnival game where a player is given two chances to throw a ball to hit a moving target. Suppose the probability of hitting the target per throw is 0.15. Let X be the number of times the target is hit per game.
(a) Give the probability distribution of X and find the variance of X.
(b) What is the probability that the player hits the target at least once?
(c) Find the mean number of times a player hits the target per game.
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