Q2) a) Metro bus travel from Rawalpindi to Islamabad every day. The metro buses pass through Chamman Station between 4:00 PM to 6:00 PM and 50 passengers are allowed to sit in the bus. The number of...

Extracted text: Q2) a) Metro bus travel from Rawalpindi to Islamabad every day. The metro buses pass through Chamman Station between 4:00 PM to 6:00 PM and 50 passengers are allowed to sit in the bus. The number of buses has the following distribution 4 5 7 P(X = x) 1/2 /2 1/6 1/6 Suppose the function 2X-1 represents the token given to the custodian in 30 Rs. Find the custodian's average earnings and also the dispersion. b) An electrical firm manufactures the light bulbs that have the length of life that is normally distributed with mean 3.0 years with standard deviation of 0.5 years. Find the probability that a bulb burns less than 2.3 years. c) Due to covid-19 the ministry of education decided to close the educational institutions. But in some areas of KPK the average number of institutions that remain open is 4,so, what is the probability that the institutions in KPK will open for 6 days during covid-19?