Question With such a large number of people using text messages as a means of communication, a company is interested in determining the number of work hours lost due to text messaging. Based on a survey of 32 randomly selected employees (anonymously, of course), the company has determined that the average amount of time spent texting over a one-month period is 173 minutes with a standard deviation of 66 minutes. What is the probability that the average amount of time spent using text messages is more than 199 minutes in this one-month period? Round your answer to four decimal places.

Investors usually want to diversify their investments to manage the associated risks. One possible way to do this is by combining stock and bond in their portfolio. Although stock is riskier than bond, it offers higher return. You, as a new investor, are interested to find out whether that statement is true. You are given the following summary statistics of the return of both stock and bond. (Assuming the data are normally distributed) a. Perform the statistical test to examine whether stock is riskier than bond. (State the competing hypothesis, test statistic, critical value, and conclusion) (20 points) b. Assuming the population variances are unequal, perform the statistical test to examine whether stock offers higher return than bond. (State the competing hypothesis, test statistic, critical value, and conclusion) ( 20 points)

Video rankings. The InstaVid social network collects user preferences by ask ing them to rank their favorite videos. One of the features of InstaVid is offering friendship suggestions for users with similar tastes, using the following metric If user One ranks the videos using the sequence 1,2,..., n same videos using the sequence ul, U2, . . . , Un of Video rankings. The InstaVid social network collects user preferences by ask ing them to rank their favorite videos. One of the features of InstaVid is offering friendship suggestions for users with similar tastes, using the following metric If user One ranks the videos using the sequence 1,2,..., n same videos using the sequence ul, U2, . . . , Un of numbers 1, 2, . . . , n, then their social distance is computed by counting all pairs (u,リfrom the ranking of Tuo that satisfy the condition vi > vj for i < j. For example, if the user One ranks four videos as 1,2,3, 4 and Two ranks them as 3,1,2,4 then their social distance is 2 because of the pairs (3,1) and (3,2) in the rankings of Two. , and user Tu o ranks (i) Design an algorithm social_distance (prefa, prefb) with time complexity in e(n2) that computes the social distance for users with video rankings prefa and prefb. Please write your solution in the form of a Python function. Justify the run time of your code (ii) Improve your algorithm using divide and conquer approach. Fully analyse your algorithm; you may use the Master Theorem. Write your solution in the form of a Python function. (You may also write pseudocode if desired; we will not run your code anyway, but it is aceptable to actually implement your code in Python and copy it in your soluton.)

Find lambda and v The matrix. 10 1.- [ 3 -3] A= has an eigenvalue of multiplicity 2 with corresponding eigenvector i. Find , and i. has an eigenvector ū

6.62. A vapor mixture of n-butane (B) and n-hexane (H) contains 50.0 mole% butane at 120°C and 1.0 atm. A stream of this mixture flowing at a rate of 150.0 L/s is cooled and compressed, causing some but not all of the vapor to condense. (Treat this process as a single-unit operation.) Liquid and vapor product streams emerge from the process in equilibrium at

The weights of a certain brand of candies are normally distributed with a mean weight of 0.8602 g and a standard deviation of 0.0521 g. A sample of these candies came from a package containing 456 candies, and the package label stated that the net weight is 389.2 g.​ (If every package has 456 ​candies, the mean weight of the candies must exceed 389.2 / 456 =0.8534 g for the net contents to weigh at least 389.2 ​g.) a. If 1 candy is randomly​ selected, find the probability that it weighs more than 0.8534 g.

Which of the following methods is best to have when a network goes down? O In-band management Site-to-site VPN Client-to-site VPN O Out-of-band management Kate, a network administrator, has been tasked with staying within the company budget. She has a large network and doesn't want to spend more than she needs to on purchasing and registering multiple public IP addresses for each of the hosts on her network. Which of the following methods could help her provide internet access but also keep costs low and limit the number of registered IP addresses her organization needs to purchase? Use Network Address Translation. Use Layer 2 switches 0 Use Layer 3 switches. Use PoE devices