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).

Question

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)= ?

Answer 1

E[Xi]= 0.05
var(Xi)= 0.0475

Answer 2

please tell us the answer

Answer 3

please tell us the answer!!!!!!!!!!!!!!

Answer 4

answer of the third part... please!!

Answer 5

Answer to the third is:
(1-q)/0.095
enjoy the 6.041 from MIT, guys ^_^

Answer 6

How did you get the Var(Xi)?