Q34. (a) Let X denote the number of hours a Class 12 student studies during a randomly selected school day. The probability that X can take the values Xi, for an unknown constant 'k'
(i) Find the valuc of k. (ii) Determine the probability that the student studied for at least 2 hours. (iii) Determine the probability that the student studied for at most 2 hours
OR
(b) (b) A river near a small town floods and overflows twice in every 10 years on an average. Assuming that the Poisson distribution is appropriate, what is the mean expectation ? Also, calculate the probability of 3 or less overflows and floods in a 10-year interval.
