12. Imagine that the proportion of all e-mails in our training data that are spam is .62, and theproportion of e-mails that are ham is .38. An e-mail comes through our Bayesian filter and itcontains only two words: "lucrative lottery." From our training data, we know the probabilities thateach of these words would appear in either type of e-mail. The probabilities are shown below:SPAMНАМlucrative.05.01lottery.15.03Using a naive bayes methodology, what is the probability that this e-mail is spam?

From the given information, the proportion of the emails spam is, P(Spam) = 0.62. The proportion of…

Answered: 12. Imagine that the proportion of all…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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3. Hepatitis C and HIV coinfection. According to a 2003 report of the U.S. Health Resources and Services Administration, coinfection of HIV and hepatitis C (HCV) is on the rise. Only about 2% of Americans have HCV, but 25% if Americans with HIV have HCV. Approximately 10% of a) Write the information provided in terms of probabilities. Are the two viral infections independent? Explain your reasoning. b) What is the probability that a randomly chosen American has both HIV and HCV?||
2. Palatsamba repairs pumps for farmers. The number of days it takes to fix the pumps and the probability that it will take that number of days are reflected in the table Number of days Probabilities (%) 1 24.9 2 10.8 9.1 12.3 13.3 4 6. 11.4 7 8 7 4.6 9. 10 1.9 1.3 11 12 0.8 13 0.6 0.4 14 0.2 0.2 15 16 17 0.1 18 0.1 a. State the random variable b. Draw a histogram of the number of days to fix defects c. Find the mean number of days to fix defects d. Find the variance for the number of days to fix defects e. Find the standard deviation for the number of days to fix defects f. Find the probability that a pump will take at least 16 days to fix a pump g. Is it unusual for the pump to take 16 days for fix? Determining if an event is unusual If you are looking at a value of x for a discrete variable, and the P(the variable has a value of x or more) < 0.05, then you can consider the x an unusually high value. Another way to think of this is if the probability of getting such a high vaule is…
si baia bainolez 3. About 8% of males are colorblind. A researcher needs some colorblind subjects for an experiment and begins checking potential subjects. In a group of 50 people find the following probabilities. razuori me a. There are exactly 4 colorblind people. S 000,012 1990 empor b. There are 2 OR 3 colorblind people. hoit c. The first colorblind person found is the 18th one checked d. On average, how many colorblind people would you expect in the group? (mean)
Please answer this question with 3 sub questions. (a) Calculate the following probabilities: The probability that a patient is a male or has a family history of CVD is: The probability that a female hasn't got a family history of CVD is: (b) and (c) are attached
Aregional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automob $26,000, a $75 gas card, or a $5 shopping card. To claim his or her prize, a prospective customer needed to present the flier at the dealership's showroc print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31,135, the chance of winning the gas card wa 31,135, and the chance of winning the shopping card was 31,133 out of 31,135. Complete parts (a) through (d). a. How many fliers do you think the automobile dealership sent out? Assume there is one car and one gas card available. 31135 fliers b. Using your answer to (a) and the probabilities listed on the flier, what is the expected value of the prize won by a prospective customer receiving a flier u$ 5.84 (Round to the nearest cent as needed) c. Using your answer to (a) and the probabilities listed on the flier, what is the…
Many track hurdlers believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on until the outermost lane, Lane 6. The data lists the number of wins for track hurdlers in the different starting positions. Find the P-value to test the claim that the probabilities of winning are the same in the different positions. Use a = 0.05. The results are based on 240 wins. Starting Position Number of Wins 1 2 45 36 OA. 0.05 0.10 3 4 33 44 5 6 50 32 D
6. There are two factories that make electric switches: Morris (M) and Grant (G.) Only 25% of the switches are made in the Morris factory. Of the switches made by Morris, 10% failed inspection. Of the switches made by Grant, 20% failed inspection. Use F for "failed inspection and FC. for "did not fail inspection.." Round your answers to 3 decimal places. Calculate the following probabilities: a. P(M) = P(G)= P(F|M)= P( F°|M)= P(F|G)= P(F°|G) = b. Draw a tree diagram and place the probabilities on the appropriate branch. Insert a screen shot of your tree diagram in your HW PDF. c. Calculate the following probabilities. P(F N G) = P(F' N G) = P(F N M)= P(F' N M) = For the following questions, Do not just give a number as your answer. Use the appropriate probability notation. d. Probability that a switch failed inspection: e. Probability that a switch that failed inspection was made by the Morris factory.
In a sample of 150 residents, each person was asked if he or she favored the concept of having a single, countywide police agency. The county is composed of one large city and many suburban townships. The residence (city or outside the city) and the responses of the residents are summarized in the following table. (Enter your probabilities as fractions.) Residence In the city Outside the city Total Favor Oppose 60 35 95 40 15 55 Total 100 50 150 (a) What is the probability that a randomly selected individual from this group of respondents is in favor of the concept of having a single, countywide police agency? (b) Calculate the probability. The probability that a randomly selected individual from this group of respondents lives in the city is
An inspector of the Alaska Pipeline has the task of comparing the reliability of two pumping stations. Each station is susceptible to two kinds of failure –pump failure and leakage. When either (or both) occur, the station must be shut down. The data at hand indicate the following probabilities prevail Station P(pump failure) P(leakage) P(both) 1 0.07 0.10 0 2 0.09 0.12 0.06 Which station has the higher probability of being shut down?
In a certain state, 31.3% of all community college students belong to ethnic minorities. Find the probabilities of the following results in a random sample of 10 of the community college students. a. Exactly 2 belong to an ethnic minority. b. Three or fewer belong to an ethnic minority. c. Exactly 5 do not belong to an ethnic minority. d. Six or more do not belong to an ethnic minority.
Consider a standard deck of 52 playing cards. You draw one card at random. Determine the following probabilities. 2. a. P(ace or heart) Are these outcomes mutually exclusive? Why? b. P(heart or red card) Are these outcomes mutually exclusive? Why? c. P(2 or 10) Are these outcomes mutually exclusive? Why? d. P(black or red) Are these outcomes mutually exclusive? Why? e. P( black and 3) f. P(not a diamond)
Search Chapter-17 6. Seatbelts. Suppose 75% of all drivers always wear their seatbelts. Let's investigate how many of the drivers might be belted among five cars waiting at a traffic light. a) Describe how you would simulate the number of seatbelt-wearing drivers among the five cars. b) Run at least 30 trials. c) Based on your simulation, estimate the probabilities there are no belted drivers, exactly one, two, etc. d) Find the actual probability model. e) Compare the distribution of outcomes in your simula- tion to the probability model. REDMI NOTE 9 88 AI QUAD CAMERA

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