Assume that among the general population, 13 people out of every 1000 have HIV/AIDS.  A pharmaceutical company designs a screening test for HIV/AIDS that has a 99% sensitivity and an 89% specificity.  Given that someone has a positive test result, what is the probability they have HIV/AIDS?

Q: company selling substandard drugs to developing countries sold 3,000,000 capsules with 210,000 of…

A:

Q: The owner claims that 1 in 10 ice cream cones will leak due to improper storage of the cones. What…

A: It is given that 1 in 10 ice cream cones will leak due to improper storage of the cones. Hence, The…

Q: A marketing research survey shows that approximately 80% of the car owners surveyed indicated that…

A: (a)   Obtain the probability that all five indicate that their next car would be either a compact or…

Q: A survey of students found that 86% expect to pass the statistics test they are scheduled to take…

A:

Q: A recent survey examined the use of social media platforms. Suppose the survey found that there is a…

A:

Q: Sixty percent of new drivers have had driver education. During their first year, new drivers without…

A: Define the following events : A : committing an accident. B : driver having proper driver education.…

Q: Data collected by a large company indicates that 74% of its employees are married, 64% of its…

A:

Q: A recent survey examined the use of social media platforms. Suppose the survey found that there is a…

A: The probability of union of two sets are given as, P(A or B) = P(A) + P(B) – P(A and B).

Q: The probability that an integrated circuit chip will have defective etching is 0.06, the probability…

A: P( integrated circuit chip will have defective etching) = P(E) = 0.06 P(integrated circuit chip will…

Q: When it is known that there is a danger in an airbase, the probability of the alarm system working…

A: Define the events as follows: W : The alarm system is working (giving an alarm) Wc : The alarm…

Q: The American Automobile Association reports that of the fatal car and truck accidents 54% are caused…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: A supplier has 200 compact discs,of which 10% are known to be defective. If a music store purchases…

A: 10% of 200 discs are defective.  So, 10% of 200=0.10x200=20 20 discs are defective and (200-20)=180…

Q: In a survey of 1402 ​people, 965 people said they voted in a recent presidential election. Voting…

A: The given scenario follows binomial distribution as the sample size is large, np and nq are also…

Q: In a quality control procedure to test for defective light bulbs, two light bulbs are randomly…

A:

Q: Assume that 40 percent are of type A, 30 percent of type B, and 30 percent of type C. It is known…

A: Let G= Event that the seed is germinated P(A)=0.40 , P(B)= 0.30 , P(C)=0.30 P(G|A)=0.20 ,…

Q: The National Aeronautics and Space Administration (NASA) has experienced two disasters. Challenger…

A: The National Aeronautics and Space Administration (NASA) has experienced two disasters. Challenger…

Q: A recent survey found that 70% of all adults over 50 wear sunglasses for driving. In a random sample…

A:

Q: On average, five birds hit the Washington Monument and are killed each week. Bill Garcy, an official…

A: Five birds hit the Washington Monument and are killed on average, each week. Funds will be allocated…

Q: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A: Given information- Sample size, n = 510 The proportion of eligible voters = 0.54 Now, from Binomial…

Q: A company manufactures electric parts . The quality control manager finds that 0.2 percent of the…

A: Binomial distribution :  A Binomial is a type of distribution which has two possible outcomes. i.e.,…

Q: According to the AABB, 40% of the population has Type A blood.  Suppose a certain hospital typically…

A: The mean is,μ=np The standard deviation is, σ=np(1-p) n is the sample size and p is the proportion.…

Q: Here is the probability model for the blood type of a randomly chosen person in the United States.…

A: According to the provided information, Blood type O A B AB Probability 0.42 0.2 0.04 0.34

Q: In a county where factories have to be tested for the emission of pollutants, 32% of all factories…

A:

Q: Due to a manufacturing​ error, 9 cans of regular soda were accidentally filled with diet soda and…

A: Given that, Due to a manufacturing​ error, 9 cans of regular soda were accidentally filled with diet…

Q: In a state where cars have to be tested for emission of pollutants, 25% of all cars emit excessive…

A: To find: the probability that a car fails the test.

Q: The employees of a firm that manufactures insulation are being tested for indications of asbestos in…

A: NOTE-AS PER POLICY I HAVECALCULATED FIRST MAIN QUESTION ONLY       Here Given proportion of…

Q: A class in Engineering Data Analysis consists of 6 women and 4 men. Their grades are calculated, and…

A: Given problem Given that   A class in Engineering Data Analysis consists of 6 women and 4 men.…

Q: According to the survey, the two most popular social networking sites in the United States are…

A: Let A and B be two events with P(A) > 0. Then the conditional probability of B given A, denoted…

Q: Of all the students who take the CPA examination, one-fourth have a Master’s degree and the…

A: One-fourth of the students have a Master’s degree, the remaining students have Bachelor’s degree.…

Q: An insurance company classifies the airplane it insures into class L (low risk)   and class H (high…

A: Given, P(L)=0.7 P(H)=0.3 P(no accident | L)=0.99 P(no accident | H)=0.88 Conditional probability:…

Q: a certain population, a group of people has a 0.23% rate of heterochromia. If a random person is…

A: Probability = number of favorable eventstotal number of events

Q: n a family with 3 children, excluding multiple births, what is the probability of having exactly 1…

A: In this case, we need to obtain the probability of having exactly 1 girl. Given: A family of three…

Q: According to a survey conducted by OnePoll, a marketing research company, 10% of Americans have…

A: Given that, According to a survey conducted by One Poll, a marketing research company, 10% of…

Q: The probability, to the nearest hundredth, that a randomly selected household subscribes to cable…

A: Given, A survey of households, who subscribe to Netflix and the percentage who subscribe to cable…

Q: The monthly incidence of necrotizing fasciitis in the U.S. is 50 cases. The population of the U.S.…

A: Solution: It is given that the monthly incidence of necrotizing fasciitis in the U.S. is 50 cases.…

Q: Of all the students who take the CPA examination, one-fourth have a Master’s degree and the…

A: One-fourth of the students have a Master’s degree, the remaining students have Bachelor’s degree.…

Q: A study by the National Park Service revealed that 50 percent of vacationers going to the Rocky…

A: The following information has been given: The probability of vacationers visit Yellowstone Park is…

Q: assuming that the characteristics listed above are independent of each other, what is the…

A: The probabilities are listed that were presented by the prosecution for the known characteristics of…

Q: Based on the table that is attached below, what is the probability that a randomly selected man…

A: Given a data table using the table we have to find what is the probability that a randomly selected…

Q: A publisher sends advertising materials for an accounting text to 80% of all professors teaching the…

A: Let: R= Events of received materials R'= Events of not received materials  A= Event of adopting text…

Q: Suppose that Stephen makes 95% of his free throws. Assume that late in a basketball game, he is…

A: Given that  Success of probability p =0.95 Number of trials n=2 X~binomial (n,p) NOTE:- According to…

Q: A random sample of 250 working adults found that 74% access the Internet at work, 88% access the…

A: a.

Q: In testing a certain kind of truck tire over rugged terrain, it is found that 39% of the trucks fail…

A: Given : Let X : Number of trucks have blowouts  p : 0.39 ( Probability of trucks fail to complete…

Q: If the seed has germinated, what is the probability that it is of type A?

A: We need to use concept of conditional probability because we are interested to find probability of…

Q: A study was conducted to better understand the television habits of married men and women during…

A:

Q: At a certain junior high school, two-thirds of the studentshave at least one tooth cavity. A dental…

A: Given: At a certain junior high school, two-thirds of the students have at least one tooth cavity.…

Q: A cafe receives an average of 4 orders of Mocha Frappe every 5 minutes. What is the probability of…

A: We have to find given probability.

Q: On average, five birds hit the Washington Monument and are killed each week. Bill Garcy, an official…

A: Given  Mean = 5

Q: A production line estimates that 1.5% of the items it produces is defective. In a package containing…

A: It is given that the A production line estimates that 1.5% of the items it produces is defective…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.