Bayes' rule can be used to identify and filter spam emails and text messages.In this collection, 747 of the 5574 total messages (13.40%) are identified as spam. The word “free” is contained in 4.75% of all messages, and 3.57% of all messages both contain the word “free” and are marked as spam. The word “text” (or “txt”) is contained in 7.01% of all messages, and in 38.55% of all spam messages. Of all spam messages, 17.00% contain both the word “free” and the word “text” (or “txt”). Of all non-spam messages, 0.06% contain both the word “free” and the word “text” (or “txt”) . Given that a message contains the word “free” but does NOT contain the word “text” (or “txt”), what is the probability that it is spam?

Q: Suppose the percent of licensed U.S. drivers (from a recent year) that are female is 48.30. Of the…

A: The study under consideration is percentage of licensed us drivers. Let F denote the female licensed…

Q: Alcohol abuse has been described by college presidents as the number one problem on campus, and it…

A: We have given that,  Sample size (n) = 10904 and favorable cases (X) = 2486 Then,

Q: In a survey of 163 subjects, each was asked to indicate how many text messages they send and receive…

A: problem is solved { if it helps please leave positive rating it's matter alot to us Thank you…

Q: Calculate the conditional distribution of Facebook use for each campus setting.

A: The Pennsylvania State University has its main campus in the town of State College and more than 20…

Q: Suppose a veterinarian wants to estimate the difference between the proportion of cat owners who are…

A: The random variable is difference between the proportion of cat owners and the proportion of dog…

Q: (a) How many business owners in the survey plan to provide a holiday gift to their employees this…

A: Given: Population proportion of business owners gave a gift to employees ,p=0.50 Sample proportion ,…

Q: What are the hypotheses?   A   Null: p=0.95 Alternate: p=0.95 B   Null: p=0.95 Alternate:…

A: Given that  The NYC Department of Health wants to know if less than 95% of the dogs in the city have…

Q: A survey shows that 3/5 Australian adults are overweight and 1/10 Australian adults are obese. What…

A:

Q: USA today reported that about 20% of all people in the United States are illiterate. Suppose you…

A: Let success be defined as literate people. Probability i=of literate people (or success) is p=0.8…

Q: The top 15 2018 Congressional race contenders (out of 24) in NJ who raised the most money reported…

A: Given data: 7.0, 1.2, 6.4, 5.4, 2.1, 4.4, 2.9, 2.3, 1.75, 1.6, 1.5, 1.5, 1.4, 1.1, 0.8.

Q: About 9% of the population has a particular genetic mutation. 500 people are randomly selected.…

A: Given that  About 9% of the population has a particular genetic mutation. 500 people are randomly…

Q: In a poll of 556 human resource​ professionals, 42.3​% said that body piercings and tattoos were big…

A: Number of human resource​ professionals (n) = 556 Probability of success (p) = 42.3% = 0.423

Q: 63% of the trees in a particular forest have a disease, 41% of the trees are too small to be used…

A: Given Information: 63% of the trees have a disease i.e., Ptrees have a disease = 0.63 41% of the…

Q: Do 8% of Dallas citizens commute to work? A survey on commuting by car was done on a random sample…

A:

Q: The rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on the…

A: Given that The NYC Department of Health wants to know if LESS than 95% of the dogs in the city have…

Q: Surgery was performed on 492 patients in the Anywhere Health Care Facility during March, and 27 of…

A: Given information: Total number of patients who received a surgery is 492. Total number of death…

Q: In a poll of 515 human resource professionals, 45.8% said that body piercings and tattoos were big…

A: sample size(n)=515sample proportion()=0.458

Q: Suppose that a team of campaign volunteers surveyed 150 likely voters to gauge support of a school…

A: Consider, P(support|children)=P(support and children)P(children)…

Q: Of the 1.6 million computer systems designers in the United Sates (as of 2005), 26,6% are female.…

A: a) Here, for computer system designers, The percentage of female is 26.6% So the percentage of male…

Q: A taste-testing survey of Zing Farms showed that 2/3 of the people surveyed preferred the taste of…

A:

Q: he rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on the…

A:

Q: A fleet of 100 taxis is divided into two groups of 50 cars each to see whether premium gasoline…

A: A fleet of 100 taxis is divided into two groups of 50 cars. For group A, Premium unleaded fuel is…

Q: In Pakistan, thousands of graduates got degrees from different universities every year. Most of them…

A: Given Data : City Jobless Rate (%) Crime Rate (%) Karachi 14 3 Lahore 21 4 Islamabad 16 2…

Q: The rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on the…

A: Given : Claim : LESS than 95% of the dogs in the city have been vaccinated with their rabies…

Q: 68.7% of the population have brown eyes. A convention has 6000 people in attendance. Find the…

A:

Q: a study is conducted to access the impact of caffeine consumption, smoking, alcohol consumption, and…

A: Given data, p=40%=0.4 n=8 Let X be event that they consume caffiene and smoke. P(X<=6)=?

Q: Assume that a recent survey suggests that about 88​% of computers use a new operating system.

A: The proportion is about 88​% of computers use a new operating system.

Q: In a recent Gallup poll, 1003 randomly selected adults in the United States were asked if they have…

A: According to the provided information, 1003 randomly selected adults in the United States were asked…

Q: Two hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups…

A: Given dataa)The number of consumers who dislikes Chrunchicles = 17The number of consumers of age…

Q: Using a 0.05 level of significance, would you conclude that the proportion of business owners…

A:

Q: Alcohol abuse has been described by college presidents as the number one problem on campus, and it…

A: Given that  Sample size n =10904 Favorable cases x =2486

Q: The NYC Department of Health wants to know if LESS than 95% of the dogs in the city have been…

A: Given that The NYC Department of Health wants to know if LESS than 95% of the dogs in the city have…

Q: Fifty-five percent of people who move from an area without fire ants to an area with fire ants get…

A: From the above data We are given that Fifty-five percent of people who move from an area without…

Q: Alcohol abuse has been described by college presidents as the number one problem on campus, and it…

A:

Q: A certain county had a population of 34,485 people. The county hospital is interested in estimating…

A: They test blood samples from 228 patients. Out of this group, 10 have blood type-O. The probability…

Q: k, on average. The following data was obtained: 30, 44, 34, 35, 40, 34, 39, 33, 40, 31, 37, 30, 37,…

A: 30, 30, 44, 34, 35, 40, 34, 39, 33, 40, 31, 37, 30, 37, 35, 33, 32, 41, 51, 31, 37, 34, 33, 36, 39,…

Q: Approval 2008. Of all the post–World War II presidents,Richard Nixon had the highest disapproval…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.