(i) Use normal approximation to a Binomial Distribution (X) having n=500 trials and p = 0.025 for finding out:  a) P(X>10); (b) P(X<18)        (c) P(X>21)               (d) P(9

1. (i) Use normal approximation to a Binomial Distribution (X) having n=500 trials and p = 0.025 for finding out:  a) P(X>10); (b) P(X<18)        (c) P(X>21)               (d) P(9<X<14)    

           (ii) If 1% of an airline’s flight suffers a minor equipment failure in an aircraft, what is the probability that there will be exactly 5 such in the next 1000 such flights?                                 

          (iii) During a laboratory experiment, the average number of radioactive particles passing through a counter in 1 millisecond is 2. What is the probability that 5 particles enter the counter in any given millisecond?                                                                                                                                             

         (iv) Records show that the probability is 0.000002 that a bike rider will have an accident while driving on the way of university through Biswamil. Using Poisson distribution determine the probability that among 200,000 bike riders driven on the way of university through Biswamil, not more than one will have an accident. ( e^-0.4 = 0.67)

Note- Answer all the questions.