Question
Manhole explosions (usually caused by gas leaks and sparks) are on the rise in your city. On any given day, the manhole cover near your house explodes with some unknown probability, which is the same across all days. We model this unknown probability of explosion as a random variable Q, which is uniformly distributed between 0 and 0.1. Let Xi be a Bernoulli random variable that indicates whether the manhole cover near your house explodes on day i (where today is day 1).
Give numerical answers for parts (1) and (2).
E[Xi]= ?
var(Xi)= ?
Let A be the event that the manhole cover did not explode yesterday (i.e., X0=0). Find the conditional PDF of Q given A. Express your answer in terms of q using standard notation.
For 0≤q≤0.1, fQ∣A(q)= ?
Give numerical answers for parts (1) and (2).
E[Xi]= ?
var(Xi)= ?
Let A be the event that the manhole cover did not explode yesterday (i.e., X0=0). Find the conditional PDF of Q given A. Express your answer in terms of q using standard notation.
For 0≤q≤0.1, fQ∣A(q)= ?
Answers
Anonymous
E[Xi]= 0.05
var(Xi)= 0.0475
var(Xi)= 0.0475
anonymous
please tell us the answer
Mary
please tell us the answer!!!!!!!!!!!!!!
ubn
answer of the third part... please!!
Anonymous
Answer to the third is:
(1-q)/0.095
enjoy the 6.041 from MIT, guys ^_^
(1-q)/0.095
enjoy the 6.041 from MIT, guys ^_^
Nancy
How did you get the Var(Xi)?