Suppose that SpamApp is an email spam filter. Of all emails marked as spam by SpamApp,20% contain the word "free". Of all emails marked as non-spam by SpamApp, 0.1% containthe word "free". This information is summarised on the probability tree below together with theprobability of each outcome."free"0.12000.2spam0.6no "free"0.80.4800B0.001"free"Anon-spam0.999Cno "free"Write down the numbers corresponding to A, B, and C (the missing red values in the diagramabove). Make it clear which is which.Suppose that a randomly chosen email is found to contain the word "free". Write down amathematical expression (or some R code) for the probability that this email is marked asspam by SpamApp, e.g., something like 0.4800/0.6. Do not attempt to calculate the value.

Step 1:Step-by-Step Solution:1.Identify the given probabilities:Probability that an email is marked…

Answered: Suppose that SpamApp is an email spam…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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MATLAB Project In a communication tower, let k be the number of active (non-silent) speakers in a group of six non-interacting (i.e., independent) speakers. Suppose that a speaker is active with probability 1/4. Compute the following 1. Using the appropriate mathematical formulas to find the probability that the number of active speakers is greater than three. 2. Using MATLAB to simulate the random experiment and validate the results evaluated in 1. 3. Plot the probability density function of the random variable k.
4) Complete the following level-3 probability tree: 75% A R0% 45% 35% 90% i) P(ANBOC)= ii) P(ĀOBOC)= iii) P(AnC)= iv) P(C) = v) P(A|C)=
There are three financial aid counselors. If a student’s last initial is from A – H, let them know that their counselor is Jon Stewart. If a student’s last initial is from I – Q, let them know that their counselor is Chelsea Handler. If a student’s last initial is from R – Z, let them know that their counselor is Brian Williams.Ask student for the FICO score, if it’s less than 660 tell that this student cannot have a loan.
For a HMM, the hidden states are {bull, bear}, the observation variables are {rise, fall}, the initial state probability distribution is [0.5 0.5]¹, the transition probability distribution A is [0.4 0.7; 0.6 0.3], and the observation probability distribution B is [0.8 0.1;0.2 0.9]. If the observation sequence is {fall fall rise}, please show the computation procedure for estimating the most likely state sequence?
consider a population where 30% is in poverty. If you randomly sampled 10 people, how many would you expect to be in poverty?
Consider the graph of a Bayesian Network shown below showing 7 binary random variables. Age Gender Exposure to Toxics Serum Calcium Cancer Smoking Lung tumor How many probabilities will be needed to complete the conditional probability table of variable "Cancer"? How many probabilities will be needed to complete the conditional probability table of variable "Lung tumor"? How many probabilities will be needed in total to complete all the conditional probability tables of this BN? How many probabilities will be needed to complete the joint probability table of all variables? Give the answers for each question as a number (e.g., 4)
Hat-check problem. Use indicator random variables to solve the following problem, which is known as the hat-check problem. Each of n customers gives a hat to a hat-check person at a restaurant. The hat-check person gives the hats back to the customers in a random order. What is the expected number of customers who get back their own hat?
In R, you will use simulations to prove that the binomial distribution is correct. Recall that the binomial distribution has two parameters n and p. There are n trials and each has two possible outcomes, with probability p for “success” and 1-p for “failure”. The binomial gives the probability distribution for the number of successes in n trials. You will conduct simulations with r replicates, where each simulation replicates does n simulated “coin flips”. You will add up the number of successes in each coin flip, and compare the result to the true distribution: Generate n*r values from the uniform(0,1) distribution and arrange these in an rxn matrix. Each value less than p is considered a “success”. For each row from part I, count the number of successes. The number of possible successes ranges from 0 to n. Use the table function in R and the value_counts function in Python and to count up the number of replicates with each number of successes. Make a table that compares the…

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