4. The Hawaiian alphabet has twelve letters: five vowels (a, e, i, o, and u) and...

4. The Hawaiian alphabet has twelve letters: five vowels (a, e, i, o, and u) and seven consonants (h, k, l, m, n, p, and w). For the purpose of this exercise we will define an n–letter “word” as an ordered collection of n of these twelve letters with repeats allowed. Obviously, most such “words” will be nonsense words.

a) How many possible four–letter Hawaiian “words” are there?

b) What is the probability a randomly selected four–letter “word” has no repeated letter?

c) What is the probability a randomly selected four–letter “word” contains three different consonants and one vowel?

d) What is the probability a randomly selected four–letter “word” starts with a consonant?

e) What is the probability a randomly selected four–letter “word” contains exactly one consonant?

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

The English alphabet has 26 letters. There are 6 vowels. (a, e, i, o, u, and...

The English alphabet has 26 letters. There are 6 vowels. (a, e, i, o, u, and sometimes y). Suppose we randomly select 8 letters from the alphabet without replacement. Let X = the number of vowels chosen (including y as a vowel). a. How many possible ways are there to select the 8 out of 26 letters (order does not matter) without replacement? b. What is the probability that X = 2 c. What is the probability that X=1? d....

Question 13 We define the letters 'a', 'e', 'i', 'o' and 'u' as vowels. We do...

Question 13 We define the letters 'a', 'e', 'i', 'o' and 'u' as vowels. We do not consider any other letter as a vowel. Write a function named initialVowels() that returns a list of words in a body of text that begin with a vowel. Include both capitalized and lower case instances of the vowels. A word should appear in the return list at most once, no matter how many times is occurs in the input string. Input: a string...

How many ways are there to order the 26 letters of the alphabet so that no two of the vowels a, e, i, o,u appear consecutively and the last letter in the ordering is not a vowel?

(a) How many ways are there to order the 26 letters of the alphabet so that no two of the vowels a, e, i, o,u appear consecutively and the last letter in the ordering is not a vowel? Hint: Every vowel appears to the left of a consonant. (b) How many ways are there to order the 26 letters of the alphabet so that there are at least two consonants immediately following each vowel? (c) In how many different...

9. The Central Intelligence Agency has specialists who analyze the frequencies of letters of the alphabet...

9. The Central Intelligence Agency has specialists who analyze the frequencies of letters of the alphabet in an attempt to decipher intercepted messages that are sent as ciphered text. In standard English text, the letter r is used at a rate of 6%. a. Find the mean and standard deviation for the number of times the letter r will be found on a typical page of 2600 characters. (1 dp) b. In an intercepted ciphered message sent to Iran, a...

Solve the partial differential equation by Laplace transformu_x (x,t)+u_t (x,t)=e^3t given that u(x,o)=0 , u(o,t)=e^3t

For a game that takes user input of certain letters, Upper: O,C,I,Z; Lower: o,c,i,z. The board...

For a game that takes user input of certain letters, Upper: O,C,I,Z; Lower: o,c,i,z. The board is a 4 by 4 matrix and the numbers on the right are the positon that correspond with the dots. So if player 2 statisfies the requirement for the winning condition. Winning conditions being 4 letters in a row of (all upper case-- Z I C O ), (all straight-line-- Z I i I), (all consonants - Z z C c), (all curved-- C...

PLEASE ANSWER LETTERS A-F THOROUGHLY The Twelve-stars Amusement Park The Twelve-stars traveling amusement park has recently...

*PLEASE ANSWER LETTERS A-F THOROUGHLY* The Twelve-stars Amusement Park The Twelve-stars traveling amusement park has recently set up operation in the East Bay. The arrival rate of patrons at the park is estimated as 35 per hour. There is one admissions gate, staffed by a single worker. Admissions can be conducted at an estimated rate of 40 per hour. 40% of patrons go directly to the Ferris wheel, while 30% go to the rollercoaster. The remaining 30% go to the...

A normal distribution has a mean of u = 60 and a standard deviation of o...

A normal distribution has a mean of u = 60 and a standard deviation of o = 16. For each of the following scores, indicate whether the body is to the right or left of the score and find the proportion of the distribution located in the body. a. X = 64 b. X = 80 c. X = 52 d. X = 28

4 -letter words'' are formed using the letters A, B, C, D, E, F, G. How...

4 -letter words'' are formed using the letters A, B, C, D, E, F, G. How many such words are possible for each of the following conditions? (a) No condition is imposed. Your answer is : (b) No letter can be repeated in a word. Your answer is : (c) Each word must begin with the letter A. Your answer is : (d) The letter C must be at the end. Your answer is : (e) The second letter must...

U Corporation is considering the acquisition of E Corporation. E Corporation has 1,020,000 shares of stock,...

U Corporation is considering the acquisition of E Corporation. E Corporation has 1,020,000 shares of stock, with earnings per share of $4.50 and a market price per share of $80. U Corporation has 1,565,000 shares outstanding with earnings per share of $6.00 and a market price of $55. The merger is expected to increase net income of the combined companies by $2,600,000 (in synergistic benefits). What is the maximum exchange ratio U Corporation can offer and what is the minimum...

Subjects