A particular telephone number is used to receive both voice calls and fax messages. Suppose that 20% of the incoming calls involve fax messages, and consider a sample of 20 incoming calls. (Round your answers to three decimal places.)   (a) What is the probability that at most 6 of the calls involve a fax message?(b) What is the probability that exactly 6 of the calls involve a fax message?(c) What is the probability that at least 6 of the calls involve a fax message?(d) What is the probability that more than 6 of the calls involve a fax message?

How many states have a nonsimplified Markov chain for a system consistingof n components? Assume that each component has two states: operationaland failed.

Assume a polynomial model with (01, 02, 03) =(2, 4, 1), Calculate the error of using this model for the sample point (x,y) =(4, 20), where x is the independent and y is the dependent variable.

Let us say that we have a set of emails (without any labels) and your task is to determine which emails can be potentially a spam. The suitable method to solve such a problem is ?   Decision tree Logistic regression K-means Linear regression

Given a hidden Markov Model (HMM) diagram in Figure 2 to represent weather in Jakarta in the past three months. The diagram in Figure 2 shows the process of predicting whether someone will be walking, shopping, or cleaning on a particular day based on whether the day is rainy or sunny. In the diagram, two hidden states are rainy and sunny; while the observed states (activities during corresponding weather) are shopping, walking, or cleaning. Based on observation, someone has the following activity sequence: shop, walk, and clean. What is the most likely weather (the hidden states: Rainy or Sunny) sequence, given such activity sequence. Answer this question using Viterbi algorithm and draw weather hidden states sequence using the Trellis diagram. Hint: For the Viterbi algorithm and the Trellis diagram you can refer to the following book: Stuart Russell, Peter Norvig. 2010. Artificial Intelligence : A Modern Approach, 2nd edition, Pearson Education. New Jersey, ISBN:9780132071482 (see…

Q4 telephone switch with 3 circuits (servers) is modeled as an M/M/C queuing system with respective call arrival and departure rates equal to 75 call/s and 100 call/s. If 47.196 is the probability that the switch is idle (has no calls), then the probability that customers have to wait before serving their call is equal to [Pr] 96. Report your answer as a percentage rounded to one digit after the decimal point.

When we discuss measures of center and spread, there are certain ones that go together, and certain ones that do not.      If we talk about the center in terms of the mean, then spread is described using the       ["", ""]  . If we talk about the center in terms of the median, then the spread is described using the       ["", ""]  .

For the Covid-19 pandemic, let’s make the following assumptions: (i) the natural infection rate is 20% (i.e., a person who is not vaccinated has 20% chance of being infected); (ii) the vaccine is 90% effective at preventing Covid-19 infection (i.e., a vaccinated person has only 2% chance of being infected); (iii) the probability of a random person being vaccinated is 60%. Without knowing whether or not a person is vaccinated, what is the probability that this person will be infected? Given that a person is infected, what is the conditional probability that this person is vaccinated?

Say that a neural network has been constructed to predict the creditworthiness of applicants. There are two output nodes: one for yes (1 = yes, 0 = no) and one for no (1 = no, 0 = yes). An applicant receives a score of 0.83 for the “yes” output node and a 0.44 for the “no” output node. Discuss what may have happened and whether the applicant is a good credit risk.