1 votes 1 votes In a hospital $’X’$ births occur randomly at an average rate of $1.8$ births per hour. The probability that we observe $5$ births in a given interval of $2$ hours is ______. GATE tbb-mockgate-3 numerical-answers engineering-mathematics probability + – Bikram asked Feb 9, 2017 • retagged Sep 16, 2020 by ajaysoni1924 Bikram 541 views answer comment Share Follow See all 3 Comments See all 3 3 Comments reply akash.dinkar12 commented Oct 21, 2017 reply Follow Share According to Poisson distribution mean = rate at births occur * interval time = 1.8 * 2 = 3.5 P(x)=e^-mean mean^x / ! x = e-3.6 ( 3.65/ 5! ) = 0.0273 ( 604.66 / 120) = 0.0273 * 5.0388 = 0.13756 2 votes 2 votes Abhisek Tiwari 4 commented Jan 28, 2019 reply Follow Share @akash.dinkar12 sir how you understood to use P.Distr ? 0 votes 0 votes akash.dinkar12 commented Jan 28, 2019 reply Follow Share @Abhisek Tiwari 4 It is all about practicing the questions of similar type.. 0 votes 0 votes Please log in or register to add a comment.
Best answer 3 votes 3 votes This problem is based on Poisson Distribution 1.8 births per 1 hour interval then 3.6 births per 2 hour interval . P(X = 5) = e-3.6 ( 3.65/ 5! ) = 0.0273 ( 604.66 / 120) = 0.0273 * 5.0388 = 0.13756 Reference: http://www.stats.ox.ac.uk/~marchini/teaching/L5/L5.slides.pdf Bikram answered Mar 21, 2017 • selected Dec 12, 2018 by Manoja Rajalakshmi A Bikram comment Share Follow See 1 comment See all 1 1 comment reply vijju532 commented Jan 4, 2019 reply Follow Share nice question! 0 votes 0 votes Please log in or register to add a comment.
3 votes 3 votes unfortunately i got 0.1376 Jeffrey Jose answered Feb 10, 2017 Jeffrey Jose comment Share Follow See all 3 Comments See all 3 3 Comments reply Bikram commented Feb 10, 2017 reply Follow Share add that range , now marks will increase :) 0 votes 0 votes Lucky sunda commented Feb 10, 2017 reply Follow Share Can you please solve it? 1 votes 1 votes Bikram commented Mar 21, 2017 reply Follow Share @lucky sunda please read this slide http://www.stats.ox.ac.uk/~marchini/teaching/L5/L5.slides.pdf 1 votes 1 votes Please log in or register to add a comment.