AS 2 SY BBA

AS-2  

•  Assuming that the typing mistake per page committed by a typist follows a Poisson distribution; find the expected frequencies for the following distribution of typing mistakes:

Number of mistake per page	0	1	2	3	4	5
Number of pages	40	30	20	15	10	5

 (e^-1.5 = 0.22313)  

• The following table give the number of days in a 50 days period during which automobile accidents occurred in a city. Fit a poisson distribution to the data (e^-0.9 = 0.4066)

No. of accidents	0	1	2	3	4
No. of days	21	18	7	3	1

•  It is given that 3 per cent of electric bulbs manufactured by a company are defective. Find the probability that a sample of 100 bulbs will contain (i) no defective (ii) exactly one defective.  (e^-3  = 0.05)
•  In a company during a break time of half an hour on average 15 calls are coming. find the probability that (i) there are at least 2 calls per five minutes (ii) There are at the most 2 calls per five minutes.
•  If mean of a Poisson distribution is 4, then find standard deviation of the distribution.
• The minor injuries a cricket player can expect during the net practice is a random variable having the Poission distribution with (Lamda) = 4.4. Find the probability that during the net practice there will be at the most one minor injuries.
• Give properties of Poission distribution.