(d) If the program is evaluated as "good ", what is the probability that it actually solves a Type-B problem ? (6 marks ) (e) If the test is repeated , what is the probability that the program is evaluated as 'good' for the first time in less than 5 trials? (6 marks ) (f) If the test is repeated 14 times, what is the probability that 5 or more test results are "good"? (6 marks ) (g) Suppose the program is improved for Type A problems so that the mean of execu tion time becomes 90s and standard deviation 25s . However , it is found that the probability that the new program is evaluated as "good " does not change . What is the mean of execution time for Type B problems if the standard deviation of the execution time of the new program is still 15s for Type B problems