When a relay tower for wireless phone service breaks down, it quickly becomes an expansive 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.
When a relay tower for wireless phone service breaks down, it quickly becomes an expansive proposition for the phone company, and the cost increases with the time it is inoperable. From company records, it is postulated that the
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.
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