Question

A school class of 120 students is driven in 3 buses to a symphonic performance. There are36 students in one of the buses, 40 in another and 44 in the third bus. When the busesarrive, one of the 120 students is randomly chosen.LetXbe the number of students that were on the bus taken by that randomly chosenstudent.(a) What is the state space ofX

Answer 1

Hence the state space of X is 40.2667.

Explanation:

Now we have

P(X = 36) =
`(36)/(120)`,

P(X = 40) =
`(40)/(120)`,

P(X = 44) =
`(44)/(120)`,

Then,

`E[X]=(36)(36)/(120) +40)(40)/(120) +(44)(44)/(120) \\\\E[X]= 40.2667.`