Math 367
Exam 1 Solutions
Summer 98
1. How many ways can you arrange the letters in WALLA WALLA WASHINGTON so that no two vowels are next to each other? Solution: There are 7 vowels and 13 consonants.
Math 367
Exam 2 Solutions
Fall 99
1. Roll a pair of dice repeatedly until you get doubles ve times. What is the expected number of rolls? Solution: We seek the expected number of Bernoulli trials need
Math 367
Exam 1 Solutions
Spring 04
1. How many ways can you arrange the letters in WILLIAMSTOWN MASSACHUSETTS so that no two vowels are next to each other? Solution: We have the following distributio
Math 367
Exam 2
Fall 02
1. Flip three coins. Then draw with replacement from a word (specied below) until you get one more vowel than the number of heads you got. The word to be used also depends on t
Math 367
Exam 1 Solutions
Fall '02
1. How many ways can you arrange the letters in CHICOPEE MASSACHUSETTS so that no two vowels are next to each other? Solution: For the consonants, we have 3 C's, 2 H
Math 367
Exam 2 Solutions
Summer 98
1. A marksman gets bullseyes on 75% of his shots. He decides to shoot until he gets 10 bullseyes. How many times should he expect to shoot? Solution: This is the Pa
Math 367
Exam 2 Solutions
Summer 99
1. A marksman hits 85% of his shots. What is the expected value for the number of shots necessary to get 20 hits? Solution: This is a Pascal distribution with p = .
Math 367
Exam 1 Solutions
Summer '00
1. How many ways can you arrange the letters in PHILADELPHIA PENNSYLVANIA so that no two vowels are next to each other? letters is as follows: Vowels 3 I 3 2 A 4 3
Math 367
Exam 2 Solutions
Summer 00
1. Flip three coins. Then draw with replacement from a word (specied below) until you get one more vowel than the number of heads you got. The word to be used also
Math 367
Exam 1 Solutions
Summer 99
1. How many ways can you arrange the letters in CHATTANOOGA TENNESSEE so that no two vowels are next to each other? Solution: The distribution of letters is as foll
Math 367
Exam 1 Solutions
Fall 99
1. How many ways can you arrange the letters in GREENVILLE MISSISSIPPI so that no two vowels are next to each other? Solution: The breakdown in letters is as follows: