At an amusement park basketball game, you earn a large prize for making 3 baskets, a medium prize for making 2 baskets, a small prize for making 1 basket, and no prize for making 0 baskets.  You have a 40% chance of making the basket each time.  What is the probability that you will earn a large prize?  If 250 people have the same chance as winning as you, how many large prizes are expected to be won?  What is the probability that you will earn a medium prize?  If 250 people have the same chance as winning as you, how many medium prizes are expected to be won?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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At an amusement park basketball game, you earn a large prize for making 3 baskets, a medium prize for making 2 baskets, a small prize for making 1 basket, and no prize for making 0 baskets.  You have a 40% chance of making the basket each time. 

What is the probability that you will earn a large prize? 
If 250 people have the same chance as winning as you, how many large prizes are expected to be won? 
What is the probability that you will earn a medium prize? 
If 250 people have the same chance as winning as you, how many medium prizes are expected to be won? 

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