In a large introductory statistics lecture hall, the professor reports that 55% of the students enrolled have never taken a calculus course, 32% have taken only one semester of calculus, and the rest have taken two or more semesters of calculus. The professor randomly assigns students to groups of three to work on a project for the course. What is the probability that of your other two groupmates, i) neither has studied calculus? ii) both have studied at least one semester of calculus? iii) at least one has had more than one semester of calculus?

Q: D. Based on the ercent chance of

A: The event A and event B are the mutually exclusive events , they are not the dependent events which…

Q: In a survey of consumers aged 12 and​ older, respondents were asked how many cell phones were in use…

A: In a survey of consumers aged 12 and​ older, respondents were asked how many cell phones were in use…

Q: A certain math conference has 9825 attendees.  Of these individuals, 5668 are college professors,…

A: Total no. of attendees in a math conference=9825of these individualsno. of college…

Q: Each manager of a corporation was rated as being either a good, fair, or poor manager by his/her…

A: We have to determine conditional probability from table. Let denote Master's or Ph.D= A And Poor…

Q: If 25 percent of students at a particular school use mechanical pencils, what is the probability of…

A: Given Information: The percentage of students using mechanical pencils =25% Number of the sample…

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: A vehicle manufacturing plant outputs 19 vehicles a day. Of those 19 vehicles, 6 are red, 5 are…

A: Given that  A vehicle manufacturing plant outputs 19 vehicles a day Red vehicles = 6 Blue vehicles =…

Q: Out of a class of 30 students, there are 16 students who study Latin, 21 who study German, and 7 who…

A: Given,no.of students who study Latin(L)=16no.of students who study German(G)=21no.of students who…

Q: a. 27% students have passed their last year's degree examination. A random sample of 7 students is…

A: Given data ,PPass=27 %=0.27PFail=1-PPass=1-0.27=0.37If n=7P4≤x≤6=?

Q: A certain math conference has 8,778 attendees.  Of these individuals, 6,659 are college professors,…

A:

Q: From the research conducted by a Cancer Research Institute, it has been found that 5 percent of male…

A: Number of male cancer patients = 50 Number of female cancer patients = 50 Total number of cancer…

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

A:

Q: What is the probability of a randomly selected student from a university being both a female and…

A:

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: Suppose that 70% of a town’s population have brown eyes, 40% have black hair, and 30% have both…

A: We have given  that population have brown eyes = 70% =0.70 population have black hair = 40% = 0.40…

Q: a. exactly 3 began taking Valium for psychological problems. b. at least 5 began taking Valium for…

A:

Q: In a large introductory statistics lecture​ hall, the professor reports that 5656​% of the…

A: Introduction:Denote p1, p2 and p3 denote the probabilities that a student has never taken a calculus…

Q: In recent study of nurses of a local hospital, eight hundred and twenty four said that they prefer…

A:

Q: In a survey of consumers aged 12 and​ older, respondents were asked how many cell phones were in use…

A: Given: Number of respondents answered none = 208 Number of respondents answered one = 295 Number of…

Q: In a poll conducted on February 3 through 18 in 2021  41% of the United States was found to be…

A: According to the given information,Probability of success, p = 41% = 0.41Sample size, n = 10Let X be…

Q: subjects who have received and not received a speeding ticket in the last year, and the color of…

A: From the available information , the table is,   Red car Not red car Total Speeding ticket 45…

Q: Suppose that Latinos comprise 25% of voters in Tarrant County. What is the probability that at least…

A: Given: Probability of success (p) = 0.25 Number of trails (n) = 20

Q: In a survey of 96 baseball fans in NYC, 46 were fans of the Mets, 63 were fans of the Yankees and 30…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: A survey reveals that 20% of the girls are Riphah come from remote areas. If 20 Riphah Girls are…

A: Binomial distribution is discrete distribution that deals with the probabilities of success and…

Q: If 2 of 20 tires are defective and 6 them are randomly chosen for inspection. What is the…

A: GivenTotal no.of tires(N)=20No.of tires are chosen(n)=6No.of tires are…

Q: In a sample of 50 employees, 32 were females, 22 were smokers, and 15 were males and smokers. If an…

A: Given that  Sample size (n) = 50 Number of females (F)  = 32 Number of males (M) = 50 -32 = 18…

Q: In a survey of consumers aged 12 and​ older, respondents were asked how many cell phones were in use…

A:

Q: In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use…

A: From the given information ,Total respondents = 201 + 296 + 376 + 138 + 117 .…

Q: In Jamalpur District, 60% of children started primary school, 70% of the children who have completed…

A:

Q: What is the probability of drawing a kind from each three separate deck of cards?

A: It is needed to find the probability of drawing a king from each three separate decks of cards.

Q: Suppose the prevalence of type II diabetes in a community is 36%. Researchers want to sample 16…

A: Suppose the prevalence of type II diabetes in a community is 36%. Researchers want to sample 16…

Q: It is determined that 62% percent of Grade 12s attend school in a particular urban school district.…

A: Given : n = 500 p = 0.62 q = 1 - p  q = 1-0.62 q = 0.38 Here n×p and n×q is greater than 5. hence we…

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

A:

Q: In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use…

A:

Q: 15 of the 50 digital video recorders in an inventory are known to be defective. What is the…

A:

Q: student has to choose an elective class for the last term of college. His counsellor suggested 8…

A: