Questions from Engineering Statistics

Q: Which of the following events are equal? (a)

Which of the following events are equal? (a) A = {1, 3}; (b) B = {x | x is a number on a die}; (c) C = {x | x2 − 4x+3 = 0}; (d) D = {x | x is the number of heads when six coins are tossed}.

Q: In how many different ways can a true-false test consisting

In how many different ways can a true-false test consisting of 9 questions be answered?

Q: A witness to a hit-and-run accident told the

A witness to a hit-and-run accident told the police that the license number contained the letters RLH followed by 3 digits, the first of which was a 5. If the witness cannot recall the last 2 digits,...

Q: (a) In how many ways can 6 people be lined

(a) In how many ways can 6 people be lined up to get on a bus? (b) If 3 specific persons, among 6, insist on following each other, how many ways are possible? (c) If 2 specific persons, among 6, refus...

Q: If a multiple-choice test consists of 5 questions, each

If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is correct, (a) in how many different ways can a student check off one answer to each question? (b) in...

Q: (a) How many distinct permutations can be made from the

(a) How many distinct permutations can be made from the letters of the word COLUMNS? (b) How many of these permutations start with the letter M?

Q: A contractor wishes to build 9 houses, each different in design

A contractor wishes to build 9 houses, each different in design. In how many ways can he place these houses on a street if 6 lots are on one side of the street and 3 lots are on the opposite side?

Q: (a) How many three-digit numbers can be formed

(a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be used only once? (b) How many of these are odd numbers? (c) How many are greater than 330?

Q: In how many ways can 4 boys and 5 girls sit

In how many ways can 4 boys and 5 girls sit in a row if the boys and girls must alternate?

Q: Four married couples have bought 8 seats in the same row for

Four married couples have bought 8 seats in the same row for a concert. In how many different ways can they be seated (a) with no restrictions? (b) if each couple is to sit together? (c) if all the...