Q1) 14% of the adults in a certain population are infected by a Corona Virus. Five adults are selected randomly from this population for diagnoses. Find the probability that at least two of them will be infected by .this Virus

Q: An Undergraduate Study Committee of 6 members at a major university is to be formed from a pool of…

A: Hypergeometric distribution:A random variable x is said to follow a Hypergeometric distribution, if…

Q: 780% of the managers in an international company have traveled abroad, 35% of them can speak foreign…

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Q: Of 100 patients with a certain disease, 10 were chosen at random to undergo a drug treatment that…

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Q: At WSU hospital, 64% of patients have water on the knee, 45% have butterflies in the stomach, and…

A: Given: suppose  A = patient is having water on the knee PA=0.45 B = patients are having butterflies…

Q: In a certain voting precinct, 81% of voters are registered democrats. what is the probability that,…

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Q: A patient taking an antiviral medication recovers from a respiratory disease with 35% probability.…

A: The probability is p=0.35 and the value of n is 18. Therefore m=np=0.35×18=6.3 Therefore the…

Q: 2. An Italian web site claims that 80% of all downloads consist of books by foreign authors.…

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Q: A monk crossbred plants, which can have purple or white flowers, and obtained 686 plants with white…

A: Given, Total number of flowers =686  Plants with white flowers  plants with purple flowers =1076…

Q: 3. A recent report was issued that suggested 45% of all cell phone calls in 2022 will be scams.…

A: The provided information is  n=500 p=0.45 X~B(n=500,p=0.45)   The mean and variance is…

Q: Q. 2 Of 200 employees of a company, a total of 120 smoke shisha; 60% of the shisha smokers are male…

A: Using the provided information, the table is:   Smokers Non smokers Total Male 72 64 136…

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: Suppose that on a certain messaging service, 4.63% of all messages fail to send. Thus, in a random…

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Q: iii Suppose that at a Goil Filling Station, 40% of drivers check their oil levels, 70% check tyre…

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Q: Q2/ Of 80 students, 20 are studying French, 40 are studying Spanish, and 30 are studying French and…

A: Total number of students: 80 Number of student who are studying French:   F = 20 Number of student…

Q: Suppose that 56% of students in a college have a smart phone. If you select three students at…

A: Solution: It is given that 56% of students in a college have a smart phone.  Thus, probability that…

Q: In a certain conservative precinct, 69% of the voters are registered Republicans. What…

A: Solution: Given data; P = 0.69 Sample size (n) = 100 To find: P( X >= 58) =?

Q: From a prior national study, we are able to infer that the probability of a high school student…

A: Probability of a senior from Tom River  going to college (p) = 0.6 (since all of their parents have…

Q: Seven of the 15 campus police officers available for assignment to the auditorium in which a local…

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Q: Assume that in a group of 12 individuals, seven prefer football and five prefer cricket. A random…

A: Given : n = individuals = 12 football = 7 cricket = 5 a) Exactly two prefer football : =C27×C15C312…

Q: 15% of adults in the United States do not make New Year's resolutions. Suppose a random sample of…

A: 15% of adults in the United States do not make New Year's resolutions. Suppose a random sample of…

Q: In a particular community, 60% of the voters are Democrats, and 40% are Republicans. 44% of the…

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Q: In a group of 2500 persons, are female, 600 are vegetarian, and are female and vegetarian. What is…

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Q: A farmer said that 2/3 of his apple trees were attacked by fruit flies. If the inspection is carried…

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Q: According to a recent​ study, 64​% of households from a certain large region no longer have a…

A: The random variable cell phone service follows binomial distribution. The value of the proportion is…

Q: One-sixth of the male freshmen entering a large state school are out-of-state students. If the…

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Q: Suppose a math class contains 35 students, 19 females (four of whom speak French) and 16 males…

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Q: 2. The quality of computer disks is measured by the mumber of missing pulses. Brand X is such that…

A: It is given that the probability of the disks have no missing pulses is 0.80.

Q: Suppose that 29% of all residents of a community favor annexation by a nearby municipality. The…

A: Consider that p is population proportion of all residents of a community favor annexation by a…

Q: (b) An inspection on 10,000 iPhone 13 Pro Max found that 27 of them have scratches. If two iPhone 13…

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Q: According to the American Diabetes Association (2013), 8.3 % of the U.S. population have diabetes.…

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Q: 56% of Americans are active voters. If a sample of 40 random Americans is selected, what is the…

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Q: In a company's committee for organization structure, 23% of the members are female and 12% of the…

A: We have given that  In a company’s committee for organisation structure,  Total female member =…

Q: 4. One prominent physician claims that 70% of those with lung cancer are chain smokers. If this…

A: Given problem is :

Q: S) Of the 84 people who answered "yes" to a question, 14 were male. Of the 73 people that answered…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose a math class contains 23 students, 11 females (five of whom speak French) and 12 males (four…

A: From the information,   French Not French Total Female 5 6 11 Male 4 8 12 Total 9 14 23

Q: In a New York Times article a reporter stated that seventy three percent of its readers favored the…

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Q: For a particular species of wolf, 48% are female, 30% hunt in medium-sized packs, and 10% are both…

A: Conditional probability formula : P(A | B) = P(A n B) /P(B)

Q: a) If 20 melanoma patients are given Interleukin-2 plus a vaccine, what is the probability that…

A: Given: Number of patients = 178 Group A received interleukin-2 only, Group B received interleukin-2…

Q: Suppose a math class contains 27 students, 14 females (six of whom speak French) and 13 males (three…

A: Solution: From the given information, a class contains 14 females. Out of which 6 speck French.…

Q: A manufacturer of laptops reports that among a shipment of 5000 sent to a local distributor, 1000…

A: Given: Number of laptop purchased is, n=10. Total number of shipment of laptop is, N=5000. Number…

Q: Suppose that at a large university 30% of students are involved in intramural sports. If we randomly…

A: Obtain the probability that fewer than 5 of these students are involved in intramural sports. The…

Q: 2) In a Canadian population, 30% of people spend 4 hours or more per day on smartphone; 25% of…

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Q: (11) A three-person jury is to be selected, at random, from a pool that has 6 people with green eyes…

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Q: Suppose you have a shipment of 100 drills, and four of them are defective. If you randomly select…

A: Define the random variable x as the number of defective drills. Here, the number of adults chosen…

Q: Suppose that at a large university 30% of students are involved in intramural sports. If we randomly…

A: Obtain the probability that fewer than 6 of these students are involved in intramural sports. The…

Q: Suppose that 73% of students in a college have a smart phone. If you select three students at…

A: Let success denotes one selected student have a smart phone. Then p=probability of success= 0.73…

Q: Suppose a population consists of 10 items, four of which are classified as defective and six of…

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

Q: 4/ A public health researcher examines the medical records of a group of 837 men who died in 1998…

A: We first make a table using the given data   died from heart disease did not die from heart…

Q: According to a study done at Otago University Wellington, the probability a randomly selected…

A: Obtain the probability that at least 3 of the people will not cover their mouth when they sneeze.…

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.