Explore BrainMass

# Probability

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

In a game at a fraternity party, there are 10 bottles to knock down. Five fraternity brothers line up to shoot the bottles down, each a perfect shot. Each brother selects one bottle at random and shoots. Find the e-value of your distribution of the number of bottles knocked down.

Each brother is a perfect shot so the probability of a brother knocking down their bottle = 1.

The brothers select a bottle at random so more than one brother can target the same bottle.

a) 3.4
b) 4.1
c) 4.6
d) 5.0

https://brainmass.com/statistics/probability/probability-brother-knocking-down-their-bottle-7404

#### Solution Preview

Solution. We label 10 bottles. By the hypothesis "Each brother selects one bottle at random and shoots" we know that each bottle can be knocked down by these five brothers(one, two, three ,four of five of them) with the same probability p.
Define the i-th variable Xi as follows:
Xi=1 if the i-th bottle was knocked down; otherwise, ...

#### Solution Summary

In a game at a fraternity party, there are 10 bottles to knock down. Five fraternity brothers line up to shoot the bottles down, each a perfect shot. Each brother selects one bottle at random and shoots. Find the e-value of your distribution of the number of bottles knocked down.

Each brother is a perfect shot so the probability of a brother knocking down their bottle = 1.

The brothers select a bottle at random so more than one brother can target the same bottle.