## Question

###### 2.29 A museums open at 10.00 AM After opening; Visitors per hour arrive through the Poisson process_ This museum has guide tour program; which is open every hour In other words_the museum gathers people who want this program and leads it every hour (from 11.00): and the total viewing time is 30 minutes Those who do not want this program can watch it themselves The probability that someone arriving at this museum wants this program is p independent of all others_ In the case of 'viewing by o

2.29 A museums open at 10.00 AM After opening; Visitors per hour arrive through the Poisson process_ This museum has guide tour program; which is open every hour In other words_the museum gathers people who want this program and leads it every hour (from 11.00): and the total viewing time is 30 minutes Those who do not want this program can watch it themselves The probability that someone arriving at this museum wants this program is p independent of all others_ In the case of 'viewing by oneself; the viewing time of one person follows exponential distribution with an average of Whether person 1S watching as guide or by himself; everyone who finishes the visit- Will visit the souvenir shop with probability q- + Calculate the distribution of the number of people participating in the guided tour starting at 12-00.4 Calculate the distribution of the total number of people who finished viewing with guide until 13.00.+ Find the probability that any one of the guests who arrived at the museum by 13.00 and watched alone will finish viewing by 13.00.+ Find the expected value and variance of the total number of people who stopped at the souvenir shop until 13.00.