In a town of 5000 people, 1000 are over 60 years old and 2000 are female. It is known that 40% of the females are over 60. What is the probability that a randomly chosen individual from the town is either female or over 60?

Q: In a certain population of women, 40% have had breast cancer, 20% are smokers and 13% are smokers…

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Q: A population of women has 40% with dark eyes. If a sample of 20 women are selected from this…

A: Given: p=0.4 n=20 Let X~B(n,p)

Q: At Riyadh 5% of all students play football and basketball, 32% of all students play football. What…

A: Let , A=all students play foot ballB=all students play basket ballgiven,P(A∩B)=0.05P(A)=0.32

Q: Airlines report that 45% of its flights are on time.  In a random sample of 80 flights, what is the…

A: Given, Let A be the event of success that Airlines report of its flights are on time Random sample…

Q: A department of commerce enrolls 125 students out of which 50 are girls. If 15 girls and 25 boys of…

A: It is given that, A department of commerce enrols 125 students out of which 50 are girls. It means…

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: In a certain community, 8% of all adults over 50 have diabetes. If a doctor in this community…

A: Introduction - Probability - Probability defines the likelihood of occurrences of an event . There…

Q: In a recent study, 29% of people surveyed indicate chocolate was their favorite flavor of ice cream.…

A:

Q: In a given year, 2,264,724 males and 2,124,694 females were born in a certain country. If a child is…

A: Number of male born in that given year: NM=2264724 Number of female born in that given year:…

Q: In a Toyota factory, 137 out of 129,000 cars have faulty brakes. If 50 cars checked at random, what…

A:

Q: A survey reports that 53% of college students use Google as their search engine. If 100 students of…

A: From the provided information, Sample size (n) = 100 Probability (p) = 0.53 Now,

Q: In a science class of 35 students, 15 are boys and 20 are girls. On a unit test, 5 boys and 8 girls…

A: We will use probability formula to find solution to the problem .

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

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Q: The results of a recent survey indicate that 71% of people in the United States use more than one…

A:

Q: A sample of automobile dealerships found that 19 % of automobiles sold are silver. If two cars are…

A: Given Information: 0.19% of the automobiles sold are silver. Two cars are selected randomly.

Q: A jury of 12 people is selected randomly from the population. If it is known that approximately half…

A: Solution

Q: In a large town, previous records indicate that 40% of all high school graduates go to college. 30…

A: From the given information, n=30 and p=0.40.

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: In a math class of 30 students, 17 are boys and 13 are girls. On a unit test, 4 boys and 5 girls…

A: Given,no.of boys=17no.of girls=13total no.of students=30

Q: In Canada, 63% of households speak English as their primary language, and 23% speak French as their…

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Q: A labour department reports that 20% of the workforce in large corporation is unemployed. It…

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Q: In a recent study, 35% of people surveyed indicate chocolate was their favorite flavor of ice cream.…

A: It is given that 35% of the people surveyed indicate chocolate was their favourite flavour of ice…

Q: In a recent study nationwide, it was found that 52% of people like college football better than…

A: Answer: Given that: p= 0.52 , n= 2 now will use Binomial probability P(X=x)=nx*px*(1–p)n–x,where…

Q: The air conditioner of 2 out of 10 cars in a car dealership is faulty. For a company that buys 4 of…

A: Giventhe air conditionerof 2 out of 10 carsis…

Q: In a certain country, 47 percent of the population are on a strict diet. In a sample of 20…

A: Let p be the probability that an individual is on a strict diet. Given that p = 47% = 0.47 Let X…

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: It has been estimated that 21% of Americans are smokers. If four American adults are chosen at…

A: Given that, proportion, p= 21%  p= 0.21 So q= 1-p= 1-0.21 = 0.79 And sample size is n= 4 So X~…

Q: If 11 seeds are planted, what is the probability that exactly 4 don't grow?

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Q: Fifteen percent of the students at Central High take Spanish, 12% take French, and 4% take both. If…

A: SOLUTION-

Q: A grocery store manager notes that 35% of the customers who buy a product make use of a store coupon…

A: Given: Probability of customers who buy a product is, p=35%=0.35. Number of people purchase the…

Q: What is the probability that all three have operated heavy machinery while under the influence of…

A: Let , X be the number of persons say that they have operated heavy machinery while under the…

Q: Transportation officials reported that 8.5 out of every 2000 airline passengers lost luggage during…

A: Solution: Given information : Let X be the random variable that airline passengers lost luggage…

Q: If a randomly selected student owns a cell phone, what is the probability that this student also…

A:

Q: in a classroom of 30 students, what is the probability that at least two of the students share a…

A: Introduction:The probability of an event is the number of cases favorable for the event, divided by…

Q: A survey reports that 53% of college students use Google as their search engine. If 100 students of…

A: Given that n=100 p= 0.53 q= n-p=0.47 μx= n*p= 53 Standard deviation= σ= sqrt(n*p*q)=4.991   Add…

Q: In a random survey of 20 students, find the probability that exactly 17 of them will say that they…

A: Given: Total number of students in survey n=20 Number of students say that they do not get enough…

Q: Approximately 11% of students at BCC are Criminal Justice majors. If you take a simple random sample…

A: Let X= number of students who are Criminal Justice majors the probability of a student being…

Q: In a business statistics class of 30 students, 17 are boys and 13 are girls. On a unit test, 4 boys…

A: Given: The business statistics contains the 30 students that is present in the class. It mostly…

Q: In a large population, 70 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Solution: Let X be the number of people has been vaccinated and n be the sample number of people…

Q: A survey reports that 53% of college students use Google as their search engine.  If 100 students of…

A:

Q: What is the probability that at least one of the next four cars that enter the lot is a sedan?

A: Ramon is a parking lot attendant. He estimates that 30% of the cars in the lot are sedans, 10% are…

Q: You are in a 12-member panel. If two people from the panel are selected to represent the panel, what…

A:

Q: What is the probability that a randomly selected adult user of the Internet is age 50 or older?…

A: Let us define some events A : adult internet user is age 18-49 B : adult internet user is age 50 or…

Q: On one large campus, 18% of students surveyed said that they spend less than an hour a night…

A: Let X denotes the number of students spend less than hour a night studying. Here, n= 3 and p = 18%…

Q: A car insurance company has determined that 9% of all drivers were involved in a car accident last…

A:

Q: In a security check, it is known that out of 100 people, 2 persons bring things that are not allowed…

A: Probability distribution

Q: It is reported that 15% of all books sold are of the science fiction genre. If a bookstore sells 316…

A: The binomial probability distribution with parameters n and p is, PX=x=nxpx1-pn-x In the formula, n…

Q: In a city of 180,000 people there are 20,000 legal immigrants from Latin America. What is the…

A: Given: The total number of people in a city are N=1,80,000. The number of legal immigrants from…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.