When a relay tower for wireless phone service breaks down, it quickly becomes an expensive proposition for the phone company, and the cost increases with the time it is inoperable. From company records, it is postulated that the probability is 0.90 that the breakdown can be repaired within one hour. For the next three breakdowns, on different days and different towers, (i) List all possible outcomes in terms of success, S, repaired within one hour, and failure, F, not repaired within one hour. (ii)Find the probability distribution of the number of successes, X, among the three repairs. (b)It has been claimed that in 60 % of all solar heat installations the utility bill is reduced by at least one third. Accordingly, what are the probabilities that the utility bill will be reduced by at least one-third in (i) Four of five installations (ii) At least four of five installations.
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.
When a relay tower for wireless phone service breaks down, it quickly becomes an expensive proposition for the phone company, and the cost
increases with the time it is inoperable. From company records, it is postulated that the
(i) List all possible outcomes in terms of success, S, repaired within one hour, and failure, F, not repaired within one hour.
(ii)Find the probability distribution of the number of successes, X, among the three repairs.
(b)It has been claimed that in 60 % of all solar heat installations the utility bill is reduced by at least one third. Accordingly, what are the probabilities that the utility bill will be reduced by at least one-third in
(i) Four of five installations
(ii) At least four of five installations.
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