Students in a college are allowed to chose their own passwords consisting of three (3) lower-case...

Students in a college are allowed to chose their own passwords consisting of three (3) lower-case letters, in that order. How many different passwords are possible if

a. repetitions allowed?

b. repetitions are not allowed?

c. The first character cannot be 0, with no repetitions are not allowed?

Expert Solution

Colby Messinger answered 1 year ago

Consider passwords of length 8 using symbols from the set of lower case letters: {a, b,...

Consider passwords of length 8 using symbols from the set of lower case letters: {a, b, c, ..., z}. (a) How many such passwords use the letter p exactly two times and the letter q exactly two times? To illustrate, both akpqbqop and quaqpoop satisfy this condition. Include a brief indication of your strategy. (b) How many such passwords use the letter p exactly once and the letter q exactly once and also have letters arranged so the p is...

Same topic: 1. Consider all passwords of length 10 made up of numbers, lower-case letters, and...

Same topic: 1. Consider all passwords of length 10 made up of numbers, lower-case letters, and upper-case letters (from the English alphabet). a) If you pick such a password at random, what is the likelihood that it contains exactly 5 lower-case letters? b) If you pick such a password at random, what is the likelihood that it contains at most 9 lower-case letters? 2. Suppose you’re an ornithologist who specializes in American crows (Corvus brachyrhynchos), and you’ve collected data on...

Chose one relationship of the three and walk me through, in your own words, your own...

Chose one relationship of the three and walk me through, in your own words, your own opinion and critical analysis, who has more power today, right now in today’s time. Government-Business relationship Public-Government relationship Business-Public relationship Define how each has power and influence over the other. Share your opinion as to which has more power over the other and why Provide examples from today’s headlines, our current situation around the Covid-19 pandemic, to support your opinion.

A survey consisting of a sample of 463 first-year college students at a certain university asked,...

A survey consisting of a sample of 463 first-year college students at a certain university asked, “About how many hours do you study during a typical week?” The mean response from the sample of students was 15.3 hours. Suppose we know that study times follow a Normal distribution with a standard deviation of 8.5 hours for all first-year students. Construct a 99% confidence interval for the mean study time of all first-year college students. a. 14.28 ≤ � ≤ 16.32...

Consider three classes, each consisting of 20 students. From this group of 60 students, a group...

Consider three classes, each consisting of 20 students. From this group of 60 students, a group of 3 students is to be chosen. i. What is the probability that all 3 students are in the same class? [3 marks] ii. What is the probability that 2 of the 3 students are in the same class and the other student is in a different class? [3 marks] (b) In a new casino game, two balls are chosen randomly from an urn...

3-1 Fast Pizza hires college students who drive their own cars to deliver pizzas to customers....

3-1 Fast Pizza hires college students who drive their own cars to deliver pizzas to customers. Fast Pizza is concerned that the company may be liable for damages caused by the company employees while they are driving their cars on company business. Identify a liability coverage form that Fast Pizza could purchase to deal with this exposure. Explain your answer.

1. What are your thoughts on what happened at Middlebury College? 2. Should students be allowed...

1. What are your thoughts on what happened at Middlebury College? 2. Should students be allowed to protest guest speakers to classes that they are not enrolled in? Why or why not? 3. Do you agree with President Trump's executive order? Why or why not? 4. Do you agree with President Obama's statements on free speech on campus? Why or why not? 5. In your opinion, what should "free speech on campus" mean?

Suppose 250 randomly selected students in a college are surveyed to determine if they own a...

Suppose 250 randomly selected students in a college are surveyed to determine if they own a tablet. Of the 250 surveyed, 98 reported owning a tablet. a. explain whether normal model can be used in this situation b. find the standard error. c. Construct the 95% confidence interval and explain what it means in the context of the problem d. based on the college database, the proportion of students that owns a tablet in this college is 36% What is...

Question 3: A sample of size 30 students is to be drawn from a population consisting...

Question 3: A sample of size 30 students is to be drawn from a population consisting of 300 students belonging to two colleges A and B. the mean and standard deviations of their marks are given below: Strata. | Total student | mean | sd. College A | 200. | 30 | 10 College B. | 100 | 60 | 40 Total | 300 | 90 | 50 Q1)How would you draw the sample...

There is a group of 10 students consisting of 3 wearing red shirts and 7 wearing...

There is a group of 10 students consisting of 3 wearing red shirts and 7 wearing black shirts. Using combinatoric (combination and / permutation) notation, answer the following. a) How many groups of 5 students could be formed wearing any colour shirts? b) How many groups of 5 students could be formed where 3 students are wearing black shirts and 2 student is wearing red shirts? c)If 5 of the 10 students are waiting in a queue to borrow a...

Question