A study has show that a certain injured lion will capture it prey about once in every ten attempts.
(a) Find the probability that in the next 30 attempts the lion will be successful (i) more than 6 times, (ii) exactly 5 times, (iii) between 3 and 8 times (inclusive)
(b) Find the mean (expected) number of times the lion will be successful.
(c) Find the probability the lion will fail to capture it prey at least 25 times.