0 votes 0 votes Suppose avg waiting time of a process to get chance in a queue is 5 min. What will the probability that process get chance at first minute is ________________ Probability probability + – srestha asked Feb 19, 2019 srestha 1.7k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 2 votes 2 votes For the detailed solution , please see the pic below SuvasishDutta answered Jun 30, 2019 • selected Jun 30, 2019 by srestha SuvasishDutta comment Share Follow See all 7 Comments See all 7 7 Comments reply Show 4 previous comments SuvasishDutta commented Aug 2, 2019 reply Follow Share @srestha mam, please see the pic below for the answer. Here the lifetime of the product is 0<T<3 T>=2 states that the product will work fine till 2 or more years i.e it includes 0<T<=2 and 2<T<3 and T>=3. But as the product breaks down in 3rd year, we have to remove T>=3 from above. Thus the required probability is P(T>=2) - P(T>=3). 1 votes 1 votes srestha commented Aug 3, 2019 reply Follow Share Probability will be $\frac{e^{-\frac{2}{4}}-e^{-\frac{3}{4}}}{e^{-\frac{2}{4}}}$ right?? i.e. $P\left ( A/B \right )=\frac{P\left ( A\cap B \right )}{P\left ( B \right )}$ 0 votes 0 votes SuvasishDutta commented Aug 3, 2019 reply Follow Share No. Required probability= P(0<T<3) = P(T>=2)-P(T>=3) I had given the explanation. 0 votes 0 votes Please log in or register to add a comment.
1 votes 1 votes Avg waiting time $\lambda$ = $5$ min. average rate is $1$ process in $5$ minutes i.e. $1/5$ According to exponential distribution, $P(X<=1) = \int_{0}^{1}\frac{1}{5}e^{-\frac{t}{5}}dt = 1- e^{-\frac{1}{5}} = 1- 0.81=0.18$ Satbir answered Jun 28, 2019 • edited Jun 30, 2019 by Satbir Satbir comment Share Follow See all 24 Comments See all 24 24 Comments reply Show 21 previous comments SuvasishDutta commented Jun 30, 2019 reply Follow Share @srestha mam, pdf can take only continuous values, pmf can take only discrete values, but cdf can take both discrete and continuous values. For continuous probability distribution, c.d.f take continuous values i.e. a range of values. For discrete probability distribution, c.d.f take discrete values. 1 votes 1 votes srestha commented Jun 30, 2019 reply Follow Share @SuvasishDutta yes, right. By the way, from where u read for this probability portion, like exponential, pmf, pdf, cdf portion? 0 votes 0 votes SuvasishDutta commented Jun 30, 2019 reply Follow Share From grewal book and made easy engg maths book 1 votes 1 votes Please log in or register to add a comment.
0 votes 0 votes By Using the poisson distribution and substituting the average rate to 3, Probality is 0.149 Rakshit Aaryan answered Feb 20, 2019 Rakshit Aaryan comment Share Follow See 1 comment See all 1 1 comment reply srestha commented Jun 28, 2019 i reshown by srestha Jul 1, 2019 reply Follow Share not clear 0 votes 0 votes Please log in or register to add a comment.