There are 24 computers in a computer lab. Three of them are infected with a computer virus. If four students randomly select computers to work at (all at the same time, one student per computer), give an expression for p(x), the probability that X of the students will select a computer with the virus.

Q: If a sample of 4 hammers is selected, find the probability that all in the sample are defective.…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

Q: Find the probability of at least 2 female visitors in 17 visitors to Mt. Rainier National Park.…

A: The provided information are: Probability of success (p) = 0.5 Number of trials (n) = 17

Q: If 75% of all purchases at a certain store are made with a credit card and X is the number among 100…

A: If we have n trials each having two outcomes, say Success and Failure, trials being independent and…

Q: 0.25   0.55   0.45   0.89

A: Given, Let O = Overweight H = Hypertension PO∩H=0.09 P(H∩OC) = 0.11 P(O∩HC) = 0.02 P(OC∩HC) = 0.78

Q: A factory has 5 similar machines. Atleast two have to operate to meet the production target for the…

A: Given: The total number of machines =5. The probability that the machine is down = 0.2 The…

Q: According to Wealth committee data, 0.15% of people have anemia. If 2000 people are randomly…

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Q: Imagine that 60 passengers on a cruise ship might be carrying a rare virus, and government health…

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Q: A factory received a shipment of 30 hammers, and the vendor who sold the items knows there are 4…

A: The total number of hammers for shipment is 30. The  number of hammers in the shipment are defective…

Q: A man is dealt 4 spade cards from an ordinary pack of 52 cards. If he is given three more cards,…

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Q: Find the probability of at least 2 female visitors in 19 visitors to Mt. Rainier National Park.…

A: Given that male and female visitors are equally likely. That is, P(male)=P(female)=1/2=0.5 Let us…

Q: Find the probability of at least 2 female visitors in 16 visitors to Mt. Rainier National Park.…

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Q: Suppose that 35% of people have a dog, 21% of people have a cat, and 16% of people own both. someone…

A: Given that,35% of people have a dog21% of people have a cat16% of people own both

Q: In the instant lottery with 10% winning tickets, if X is equal to the number of winning tickets…

A: Binomial distribution is given by

Q: In a survey, 58% of American adults said they had never heard of the Internet. If 20 American adults…

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Q: If 3 of the electric bulbs manufactured by a company were found to be defective in an hour, find the…

A: Given: 3 of the electric bulbs manufactured by a company were found to be defective in an hour we…

Q: Each sample of water has a 10% chance of containing a particular organic pollutant. Assume that the…

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Q: In a certain Algebra 2 class of 29 students, 7 of them play basketball and 14 of them play baseball.…

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Q: Suppose that a screening test diagnoses 97% of sick people positive and 95% of healthy people…

A: Let us define some events A : a person is sick B : a person is healthy. E : a person tests positive.…

Q: During a fitness center outbreak, 1/10 of the customers of the center are infected by COVID-19.…

A: Solution: 6. Let E be the event that he/she has flu symptoms. From the given information,

Q: Suppose 1 in 1000 persons has a certain disease. A test detects the disease in 95% of the diseased…

A: Given : P( Disease ) =11000=0.001 P(not  Disease ) =1-P(Disease)=1-0.001=0.999 P( Test…

Q: A farmer has a box containing 30 eggs, 5 of which have blood spots. He checks egs taking them at…

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Q: Let 3% of the items made by a factory are defective. Find the probability that there are 4 defective…

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Q: At a college, 71% of courses have final exams and 45% of courses require research papers. Suppose…

A: Solution-: Given: P(Courses have final exam)=0.71 (or 71%) ,P(Course have research paper )=0.45 (Or…

Q: In a certain Algebra 2 class of 29 students, 8 of them play basketball and 16 of them play baseball.…

A: Total number of students in class= 29 Number of students who play basketball=8 Number of students…

Q: :Suppose there were 500 workers in a factory, and they could be classified as following Female Male…

A: Given: There are 500 workers in a factory. Female Male   10 59 Infected by COVID-19 121 310…

Q: Suppose the probability that a person picked at random has lung cancer is 0.035 and the probability…

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Q: In a district, 65% of the total population is in favor of rising the traffic challan. During a…

A: Given Information: Proportion (p) = 0.65 Sample (n) = 100 Let X denote the number of people who are…

Q: In a city, 70% of people have jobs. 10% of the people who have jobs are infected by COVID- 19, while…

A: Given that in a city, 70% of people have jobs. 10% of the people who have jobs are infected by…

Q: There are 600 students in the post-graduate department of a university, and the probability for any…

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Q: If one of these individuals is selected at random, find the probability that the (a) experiencing…

A: The data is given by   Nonsmoker Moderate Heavy Total H 21 36 30 87 NH 48 26 19 93 Total 69…

Q: A shipment of 7 television sets contains 3 defective sets. A hotel makes a random purchase of 3 of…

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Q: If 2% of electric bulbs manufactured by a certain company are defective. Find the probability that…

A: Solution-: We find, (i) P(less than 2 bulbs are defective)=? (ii) P(more than 3 bulbs are…

Q: A driver is eagerly eyeing a precious parking space some distance down the street. There are three…

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Q: . The probability that two specified letters will be placed in the correct envelopes is 1[n(n – 1)].…

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Q: After some genetic testing, a couple discovers that each of their children has a 0.25 probability of…

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Q: Suppose that in an adult population the proportion of people who are both overweight and suffer…

A: Let W: A person is overweight H: A person suffers from hypertension Given, the proportion of people…

Q: Suppose that the average number of telephone calls arriving at the switchboard of a small…

A: Givenon average number of telephone calls arriving at the switchboard of asmall corporation is 30…

Q: From a group of 10 children, a team of 5 (red team) is randomly chosen. The remaining 5 children are…

A: There are total 10 children. We can select the red team in 10C5=252 ways When the red team is…

Q: Based on a survey, assume that 33% of consumers are comfortable having drones deliver their…

A: Given that, The probability of consumers being comfortable having drones is 0.33 The probability of…

Q: Ql: Suppose that are have a fuse box, containing 20 fuses of which 5 are defective. If 2 fuses are…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: At a certain hospital, 16 patients have lung cancer, 10 patients smoke, and 8 have lung cancer and…

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Q: In a certain Algebra 2 class of 27 students, 11 of them play basketball and 9 of them play baseball.…

A: Given that  Total students = S= 27 Play basketball= A = 11 Play baseball = B = 9 Play neither sport…

Q: During a fitness center outbreak, 1/10 of the customers of the center are infected by COVID-19.…

A: The probability that the customers of the center are infected by COVID-19 is 110, the the not…

Q: Suppose that 30% of people have a dog, 17% of people have a cat, and 10% of people own both. What is…

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Q: factory received a shipment of 39 hammers, and the vendor who sold the items knows there are 7…

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Q: At least one-half of an airplane's engines are required to function in order for it to operate. I…

A: Given : one-half of an airplane’s engines are required to function in order for it to operate. To…

Q: Suppose it is known that 3% of cigatette smokers develop lung cancer, whereas only 0.5% of…

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Q: At a certain restaurant, there is a 60% probability that the candles on your table will be red. If…

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Q: Suppose that a screening test diagnoses 90% of sick people positive and 90% of healthy people…

A: Let us define some events A : a person is sick. B : a person is healthy. E : test gives negative…

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.