Question: 1. Target pistols are manufactured in six cities. The following table gives the percent of the total production that comes from each city, together with the probability that the gun explodes upon firing.
Suppose a gun explodes. Calculate, for each city, the probability that the gun came from there.
2. A game consists of flipping seven coins, without regard to order. If at least three heads come up, the player wins $5. If not, the player loses $9. What is the player's expected value for this game?