On average, 24 out of every 100 emails exchanged are spam emails. Filters on email services attempt to flag spam emails as they are received. One such filter has a 84% chance of flagging an email if it is actually spam, and a 25% chance of flagging an email that is not spam. a. What is the probability that an incoming email is not a spam and flagged? b. What is the probability that the next incoming email will be flagged? c. All emails that are not flagged are sent to the user’s inbox. If an email reaches a user’s inbox, what is the probability that it is not a spam email

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Given, 54% of the people own dog.That is

Q: It has been estimated that 21% of Americans are smokers. If five American adults are chosen at…

A: From the provided information, It has been estimated that 21% of Americans are smokers that is p =…

Q: Suppose that the probability that a child living in an urban area in the United States is obese is…

A: From the given information p = 0.20 and n = 15.

Q: According to some estimates, approximately 34.3% of the American population has A+ blood.  Suppose…

A: From the provided information, 34.3% of the American population has A+ blood that is p = 0.343…

Q: Approximately 9% of people are left-handed. If two people are selected at random, what is the…

A:

Q: A zoo has a collection of 400 flamingos. 180 of these flamingos are red. One day, a fence blew down…

A: Given : A zoo has a collection of 400 flamingos. 180 of these flamingos are red.

Q: Today, only 25% read the New York Times. Five percent of residents read both papers. Suppose we…

A: event  USA : read USA today NY : read New York times P(USA) = 0.40 P(NY) = 0.25 P(USA∩NY) = 0.05

Q: A set of coins is flipped. 25% of the coin set has a 20% chance of landing on heads. The other 75%…

A: Given that the set of coins are divided into two types.

Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A:

Q: If the probability of choosing a red chip from a bucket is 0.4, What is the probability of not…

A: We have the probability of choosing a red chip from a bucket is 0.4

Q: Pip is the proud owner of an eclectic bow tie collection. He keeps track of how many bow ties he…

A: GivenThe probability that a bow tie is designed with zigzags = 0.5The probability that a bow tie is…

Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A: Let X represent random variable   n=5 p=0.08   X~ binomial (5, 0.08)

Q: Twenty percent of all undergraduates at a university are chemistry majors. In a random sample of…

A: Given information:Population proportion (p) = 20%                                         p =…

Q: If the probability of a student taking a strength training gym class is 0.90, the probability of…

A: Given, The probability of a student taking a strength training gym class(P(A))=0.90 The probability…

Q: Assume that 30 percent of students have taken calculus in high school. Of those who have taken…

A: Let define the events: C = students taken calculus in high school C=students do not taken calculus…

Q: As you shop for dog treats, a seller advertises that 95% of veterinarians recommend their treats.…

A: The probability distribution function of binomial distribution is: Where, n = sample size, x =…

Q: Suppose you manage the demand for a towing company in Little Rock. On a usual day your company gets…

A:

Q: Suppose that the probability that a child living in an urban area in the United States is obese is…

A:

Q: 34% of all college students major in STEM (Science, Technology, Engineering, and Math). If 30…

A:

Q: Suppose that 85% of people are voting in the election. If you pick two people at random, what is the…

A: Obtain the probability that they both are voting in the election.   The probability that they both…

Q: It has been estimated that 21% of Americans are smokers. If four American adults are chosen at…

A: Given that, proportion, p= 21%  p= 0.21 So q= 1-p= 1-0.21 = 0.79 And sample size is n= 4 So X~…

Q: Suppose that historically, 66% residents in an apartment building own at least one pet. If there are…

A:

Q: Suppose that 47% of people own dogs. If you pick two people at random, what is the probability that…

A: We have given that Probability (p) = 0.35number of sample (n) = 2 Here we will use binomial…

Q: Suppose that 53% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: It is estimated that 55% of households own a riding lawnmower.  A sample of 20 households is…

A:

Q: Suppose that 30% of people own dogs. If you pick two people at random, what is the probability that…

A: Let X be the number of dogs from binomial distribution with probability (p) = 30% = 0.30 and sample…

Q: According to the 2020 census, 39.84% of Connecticut adults hold at least a bachelor’s degree. If…

A: In question, Given that According to the 2020 census, 39.84% of Connecticut adults hold at least a…

Q: In one Introductory Statistics class, the probability that a student will pass the first test is…

A: events: A: pass first test  B: pass second test   P(A) = 0.55         P(A') = 1 - 0.55 = 0.45 P(B|A)…

Q: A survey reports that 53% of college students use Google as their search engine. If 100 students of…

A: Given that n=100 p= 0.53 q= n-p=0.47 μx= n*p= 53 Standard deviation= σ= sqrt(n*p*q)=4.991   Add…

Q: 26% of all college students major in STEM (Science, Technology, Engineering, and Math). If 30…

A:

Q: 26% of all college students major in STEM (Science, Technology, Engineering, and Math). If 41…

A:

Q: A spam filter is designed by looking at commonly occurring phrases in spam. Suppose that 80% of…

A: Events: A: Spam B: Free money PA=0.80 PB|A=0.10 PB|AC=0.01 Need to obtain:…

Q: Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students…

A: P(high school students of eating pizza), P(A) = 0.333 P(high school students of drink soda), P(B) =…

Q: 34% of all college students major in STEM (Science, Technology, Engineering, and Math). If 36…

A: As per our guidelines we are suppose to answer three sub parts.…