There are 3 targets and 2 shooters. Shooter 1 will fire at either targets 1 or 2, each with probability 0.5, while shooter 2 will fire at either targets 2 or 3, each with probability 0.5. Shooter 1 hits his target with probability 0.8, while shooter 2 hits his target with probability 0.7. A target is hit if it is hit by either shooter. Let X denote the number of targets that are hit. (a) What are the possible values of X? (b) What is the probability that target 1 will be hit? (c) Compute E[X].
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.
There are 3 targets and 2 shooters. Shooter 1 will fire at either targets 1 or 2, each with
(a) What are the possible values of X?
(b) What is the probability that target 1 will be hit?
(c) Compute E[X].
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
