0 0 votes The arrival of customers over fixed time intervals in a bank follow a Poisson distribution with an average of $30$ customers/hour. The probability that the time between successive customer arrival is between $1$ and $3$ minutes is _____ (correct to two decimal places) Probability and Statistics gateme-2018-set2 numerical-answers probability-and-statistics probability poisson-distribution + – ♦Arjun 956 views answer comment Share Follow Add Sync Questions 0 reply Please log in or register to add a comment.
Best answer 1 1 vote λ = 30 customers/hour ==> 30/60 customers/minute ==> 0.5 customers/minute P(a<=X<=b) = e-λa - e-λb P(1<=X<=3) = e-0.5*1 - e-0.5*3 P(1<=X<=3) = e-0.5 - e-1.5 = 0.6065 - 0.2231 = 0.3834 Balaji Jegan answered Feb 21, 2018 • selected Feb 21, 2018 by Arjun Balaji Jegan comment Share Follow See 1 comment 1 1 comment reply Lax 98 commented Jan 4, 2021 reply Follow flag Isn't the formula e^(-mean) * (mean^t)/fact(t) for Poisson distribution then why are we using e^(-mean*t) formula 0 0 replyShare Please log in or register to add a comment.
