MHS has three copiers, and because teachers make a lot of copies, often copiers need to be repaired. If the random variable X represents the number of copiers that are working on any randomly selected school day. The following chart shows the probability distribution of X. # of working copiers when school opens 0 1 2 3 Probability 0.14 0.21 0.40 0.25 What is the probability that at least one copier is working when school opens? What is the expected value of the number of copiers that are working when school opens? What is the probability that all three copiers are broken when school opens, given that at least one of the copiers is broken?
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.
JMHS has three copiers, and because teachers make a lot of copies, often copiers need to be repaired. If the random variable X represents the number of copiers that are working on any randomly selected school day. The following chart shows the probability distribution of X.
|
# of working copiers when school opens |
0 |
1 |
2 |
3 |
|
Probability |
0.14 |
0.21 |
0.40 |
0.25 |
- What is the probability that at least one copier is working when school opens?
- What is the
expected value of the number of copiers that are working when school opens? - What is the probability that all three copiers are broken when school opens, given that at least one of the copiers is broken?
- Given that at least one copier is broken when school opens, would the expected value of the number of copiers that are working be less than, equal to, or greater than the expected value from part b.? Explain.
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