Question

You are playing another dice game where you roll just one die--this time, you lose a point if you roll a 1. You are going to roll the die 60 times. Use that information to answer the remaining questions.

A. What are the values of p and q? (Hint: notice this is binomial data, where p is the probability of losing a point and q is the probability of not losing a point.) p =    and q =

B. What is the average number of points you would expect to lose (rolling the die 60 times)?

C. Although you expect to lose a certain number of points on average, a typical game of 60 rolls will vary in how many points are lost. In other words, what is the standard deviation of this distribution?

D. Your unlucky friend Unlucky Louis just played the game and lost 17 points! Just how unlucky is Unlucky Louis? In other words, what is p(X≥17)? (Hint: remember real intervals--this question is asking about the probability of losing 17 or more points.)

First, what is the Unlucky Louis' Z-score?

E. Finally--so how unlucky is he? That is, what is the probability of the Z-score you found for the last question? (Hint: make sure to draw it and pay attention to whether it's the tail or the body.)

Answer 1