In a lab experiment, you test for the presence of two viruses, X and Y , in a culture. After conducting several trials of your experiment, you and your colleagues discover that: the probability of the virus X not being present in a culture is 0.35 the probability of the virus Y being present in a culture is 0.70 the probability of either of the two viruses being present in a culture is 0.88 What is the probability that both viruses X and Y are present?

Q: If rain falls randomly with a 20% chance of rain on any given day, what is the probability that we…

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Q: A freshman college student experiences difficulties with malfunctioning alarm clocks. Instead of…

A: Given that,A freshman college student experiences difficulties with malfunctioning alarm clocks.…

Q: When shooting two free throws, if a Red Devil basketball player makes her first free throw, there is…

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Q: Carl’s basketball shooting records indicate that for any frame, the probability that he will score…

A: Given that the probability that he will score in a two-point shoot is 30%, a three-point shoot is…

Q: If the probability of having green eyes is 15%, the probability of having a brown hair is 70%, and…

A: Let G represents the green eyes And B represents the brown hair So P(G)= 15% = 0.15 P(B)= 70% = 0.70…

Q: The probability that a vehicle entering the Luray Caverns has Canadian license plates is 0.12; the…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: A stockbroker believes that under present economic conditions, a customer will invest in tax-free…

A: Define the following events:   A: a person invest in tax free B: a person invest in mutual fund

Q: Recently, a nurse commented that when a patient calls the medical advice line claiming to have the…

A: The Solution is as follows,

Q: A class in advanced physics is composed of 10 juniors, 30 seniors, and 10 graduate students. The…

A: Given data:     The numbers of juniors in the class are: n(J)=10. The numbers of seniors in the…

Q: In a class, 50% of the students play basketball, 20% of the students play football and 10% of the…

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Q: Presumably, each student writing this examination is doing so independently of all other students.…

A: Given: P(Tom answers correctly)=0.8 P(Dick answers correctly)=0.7 P(Harry answers correctly)=0.6

Q: Lord Vile drinks his whisky randomly, and the probability that, on a given day, he aasn glasses…

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Q: How is the probability of a combination (HH, HT, or TT) related to probabilities of its components…

A: Given: A combination of two coin tosses (HH, HT, or TT). In a coin toss, the possible outcomes are:…

Q: A small bag of skittles has 8 red, 9 blue, and 3 green candies. A box of chocolates has 4 cherry, 10…

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Q: James and Davis belong to the same basketball team.  After so many  3 – point attempts, James…

A:

Q: Q: If 5% of the people are carriers of a certain disease and 10% of them are young, what is the…

A: Given: % of people that are carriers = 5% % of people that are young = 10%

Q: A crime study for a geographic area showed an average of one home invasion per 40,000 homes. If an…

A: Let X be the random variable from Poisson distribution with (λ) = 60000*(1/40000) = 1.5 Then,  We…

Q: A meteorologist says that the probability that it will rain on Saturday is 30%, the probability that…

A: let event E: it will rain on Saturday and event F: it will rain on Sunday event E∩F: it will rain on…

Q: Consider an experiment in which subjects were randomly given either a mug or a pen, and were told…

A: Please find the solution below. Thank you

Q: A cooler has 12 bottles of water, 8 bottles of juice, and 5 bottles of soda. If Randy selects a…

A: The number of water bottles, W=12The number of juice bottles, J=8The number of soda bottles,…

Q: lichael wants to take French or Spanish, or both. But classes are closed, and he must apply and get…

A: Formula : P(A or B) = P(A) + P(B) - P(A and B)

Q: On any given weekend, the probability that John will go to the bar is 20%, whereas the probability…

A: Let us define some events A : John will go to the bar. B : John will go to hiking. It is given that…

Q: In a music store, a manager found that the probabilities that a person buys 0, 1, or 2 or more CDs…

A: GIVEN DATA : Probabilities that the person buys 0, 1 or 2 or more CDs are 0.3, 0.6 and 0.1…

Q: f jellybeans are not associated with acne and you adopt an alpha of 5%: What is the probability of…

A: Given that  If jellybeans are not associated with acne and you adopt an alpha of 5% Level of…

Q: It has been found that 1 out of every 10 people who visit a local store purchase cigarettes. If we…

A: Let the random variable X denote the number of visitors who visit a local store purchase cigarettes.…

Q: Paul correctly predicted the outcomes of 12 out of 14 games a) If Paul was just ``guessing", and…

A: Paul has to correct 12 out of 14 games. So, n=14x=12

Q: In a certain examination, 80% of the candidates pass English and 75% pass French, whereas 15% fail…

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Q: In a certain examination, 80% of the candidates pass English and 75% pass French, whereas 15% fail…

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Q: Assuming the outcomes to be equally likely, find the probability that exactly one of the four…

A: Given:  There are 4 true false questions.

Q: A student randomly guesses the answers to a five-question true/false test. If there is a 50% chance…

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

Q: Suppose a group of students take an influenza test and 96% of the students test positive. What is…

A:

Q: A Ph.D. graduate has applied for a job with two colleges: A and B. The graduate feels that she has a…

A: Let A = receiving an offer from college A,   B = receiving an offer from college B P(A)=0.6…

Q: What is the probability that Larry Bird makes exactly one of his two free throws?

A: Let p be the probability that Larry bird makes free throw. Given that p = 0.50 Let X denote the…

Q: A students is going to graduate from a business department of a university by the end of the…

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Q: Jack wants to take Deep Learning or Spanish, or both this semester. He is applying for enrolment.…

A: Given,P(getting into a Deep Learning course)=0.50P(getting into a Spanish course)=0.40and P(Getting…

Q: At an amusement park basketball game, you earn a large prize for making 3 baskets, a medium prize…

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Q: A small online shop has only three drivers (Sandra, Peter, and Josh) to deliver orders in a certain…

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Q: A salesman is known to sell a product in 3 out of 5 attempts while another salesman in 2 out of 5…

A:

Q: You have a well-mixed bowl of candy with 20 red M&Ms and 32 red Skittles, and your unsuspecting…

A: Given : no of red M&Ms candy =20  no of red skittles=32  total nonof candy =52  sample drawn…

Q: In a certain high school, the probability that a student drops out is 0.1, and the probability that…

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Q: In the St. Petersburg Community College, 30% of the men and 20% of the women are studying…

A: For the given data Find the probabilities

Q: Based on a study from the Chronicles of Flippin" Awesomeness, the probability that Napoleon and…

A: Let A and B denotes the events that "Napoleon and Pedro make it to their first period class on time"…

Q: f there is a 1 in 1,100 chance that you will pick the numbers correctly in tonight’s lottery, what…

A: Total number of numbers in a lottery = 1100 No.of numbers pick correctly in tonight’s lottery = 1…

Q: According to reports, 30% of American adults have chronic insomnia. If 3 American adults are chosen…

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Q: Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and…

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Q: 4) An experiment has three outcomes, I, II, and III. If outcome I is twice as likely as outcome II,…

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Q: A salesman is known to sell a product in 3 out of 5 attempts while another salesman in 2 out of 5…

A: Let, A be the first salesman is known to sell the product in 3 out of 5 attempts. B be the second…

Q: At the entrance to an online game, there are two games. The first game is programmed so that in the…

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Q: In a tennis match, with the score at deuce, the game is won by the first player who gets a clear…

A: In a tennis match, with the score at deuce, the game is won by the first player who gets a clear…

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.